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Hubble Space Telescope Observations of Tadpole Galaxies Kiso 3867, SBS0, SBS1, and UM461

Debra Meloy Elmegreen Vassar College, Dept. of Physics and Astronomy, Poughkeepsie, NY 12604 Bruce G. Elmegreen IBM Research Division, T.J. Watson Research Center, Yorktown Hts., NY 10598 John S. Gallagher Dept. of Astronomy, Univ. of Wisconsin-Madison, Madison, WI 53706 Ralf Kotulla Dept. of Astronomy, Univ. of Wisconsin-Madison, Madison, WI 53706 Jorge Sánchez Almeida Instituto de Astrofísica de Canarias, C/ via Láctea, s/n, 38205, La Laguna, Tenerife, Spain, and Departamento de Astrofísica, Universidad de La Laguna Casiana Muñoz-Tuñón Instituto de Astrofísica de Canarias, C/ via Láctea, s/n, 38205, La Laguna, Tenerife, toSpain, and Departamento de Astrofísica, Universidad de La Laguna Nicola Caon Instituto de Astrofísica de Canarias, C/ via Láctea, s/n, 38205, La Laguna, Tenerife, Spain, and Departamento de Astrofísica, Universidad de La Laguna Marc Rafelski Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218, USA Department of Physics and Astronomy, Johns Hopkins University, Baltimore, MD 21218, USA Ben Sunnquist Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218, USA Mitchell Revalski Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218, USA Morten Andersen European Southern Observatory, Karl Schwarzschild Str. 2, 85748, Garching, Germany
Abstract

Tadpole galaxies are metal-poor dwarfs with typically one dominant star-forming region, giving them a head-tail structure when inclined. A metallicity drop in the head suggests that gas accretion with even lower metallicity stimulated the star formation. Here we present multiband HST WFC3 and ACS images of four nearby (<< 25 Mpc) tadpoles, SBS0, SBS1, Kiso 3867, and UM461, selected for their clear metallicity drops shown in previous spectroscopic studies. Properties of the star complexes and compact clusters are measured. Each galaxy contains from 3 to 10 young stellar complexes with 103105M10^{3}-10^{5}\;M_{\odot} of stars 310\sim 3-10 Myr old. Between the complexes, the disk has a typical age of 3\sim 3 Gyr. Numerous star clusters cover the galaxies, both inside and outside the complexes. The combined cluster mass function, made by normalizing the masses and counts before stacking, is a power law with a slope of 1.12±0.14-1.12\pm 0.14 on a log-log plot and the combined distribution function of cluster lifetime decays with age as t0.65±0.24t^{-0.65\pm 0.24}. A comparison between the summed theoretical Lyman continuum (LyC) emission from all the clusters, given their masses and ages, is comparable to or exceeds the LyC needed to excite the observed Hα\alpha in some galaxies, suggesting LyC absorption by dust or undetected gas in the halo, or perhaps galaxy escape.

galaxies: star formation– galaxies: photometry – galaxies: dwarf – galaxies: star clusters

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1 Introduction

Gas accretion onto galaxies drives their average star formation rates (SFRs; Finlator & Davé, 2008; Brooks et al., 2009; Combes, 2014), with excess local accretion possibly connected to major bursts (Sánchez Almeida et al., 2014a, b; Ceverino et al., 2016). Tadpoles (van den Bergh et al., 1996; Elmegreen et al., 2005), or cometary galaxies (Markarian, 1969; Loose & Thuan, 1985; Cairós et al., 2001), are gas-rich dwarfs with one giant star-forming region that looks like the head of a tadpole when the galaxy is viewed at some inclination; the rest of the disk comprises the tail. This morphology is common at high redshift, where it is found in 10\sim 10% of resolved galaxies disk-l(Elmegreen et al., 2005; van den Bergh et al., 1996; Straughn et al., 2006; Windhorst et al., 2006), but it is rare locally at less than 0.2% (Elmegreen et al., 2012). Based on simulations by Ceverino et al. (2016) of low metallicity gas infall onto disk galaxies, which typically triggers a burst of star formation near one end of the disk, we expect that tadpole galaxies would appear disk-like if viewed face-on, with at least one prominent star-forming region. Their baryon mass is dominated by gas (e.g., Filho et al. (2013)), and their stellar mass distribution tends to be triaxial with axial ratios 1:0.7:0.4 (Putko et al., 2019).

Tadpole galaxies in the local Universe (out to 100\sim 100 Mpc) tend to be extremely metal poor (XMP) (Morales-Luis et al., 2011). Spectroscopic observations of 22 tadpoles indicate their heads typically have a drop in metallicity by a factor of 3 to 10 compared with their tails, consistent with accretion of metal-poor gas (Sánchez Almeida et al., 2013, 2014a, 2014b, 2015; Olmo-Garcia et al., 2017; Lagos et al., 2018), a process that may be generally important in XMP systems (e.g., Ekta & Chengalur, 2010). This relation between excess SFR and drop in metallicity is observed in most low mass galaxies (e.g., Hwang et al., 2019; Sánchez-Menguiano et al., 2019).

One of the prototype tadpole galaxies is Kiso 5639. Its bright head is a large, over-pressure, short-lived star-formation region with a rich population of star clusters (Elmegreen et al., 2016) and a massive molecular cloud (Elmegreen et al., 2018). In our previous HST imaging of it (Elmegreen et al., 2016) we found the properties of the head to be consistent with a model by Ceverino et al. (2016) where infalling gas forms a low-metallicity starburst clump in the disk.

In this paper we present an HST imaging study in U, V, I, and Hα\alpha of four additional tadpole galaxies, SBS0 (KUG0940+544), SBS1 (SBS1129+576), Kiso 3867 (KUG0937+298) and UM461. These were selected from previous tadpole spectroscopic studies (Sánchez Almeida et al., 2015, 2013) for showing clear metallicity drops in the star-forming heads, as discussed further below. Galaxy coordinates, distances, masses, and rotational speeds are listed in Table 1.

Our objective is to study the properties of the dominant XMP star forming complexes and how they correlate with the characteristics of host galaxies. We are also interested in the populations of young star clusters formed in these bursts, and in their mass and age distributions. For example, the localized starbursts in these tadpoles could have been triggered by infalling gas streams, and in other galaxies where this has happened, such as NGC 1569 (Johnson et al., 2012) and NGC 5253 (Turner et al., 2015), there are superstar clusters near the points of impact. We would like to know if there are outlier superstar clusters in these tadpoles or only a smooth extrapolation of the usual power-law cluster mass function (Elmegreen & Efremov, 1997).

Table 1: Observed Galaxies
Galaxy RA Dec DGSRaaGalactocentric distances are from the NASA Extragalactic Database, ned.ipac.caltech.edu log MassbbStellar masses and velocities for SBS0, SBS1, and UM461 from Sánchez Almeida et al. (2015), and stellar mass for Kiso 3867 from Filho et al. (2013) and velocity from Sánchez Almeida et al. (2013) Vrotsin ibbStellar masses and velocities for SBS0, SBS1, and UM461 from Sánchez Almeida et al. (2015), and stellar mass for Kiso 3867 from Filho et al. (2013) and velocity from Sánchez Almeida et al. (2013)
(J2000) (J2000) (Mpc) (M) (km s-1)
SBS0 9:44:17 +54:11:29 24.7 7.1±0.057.1\pm 0.05 15±1.215\pm 1.2
SBS1 11:32:02 +57:22:45 24.2 7.5±0.57.5\pm 0.5 36±436\pm 4
Kiso 3867 9:40:13 +29:35:30 6.7 6.3±0.26.3\pm 0.2 20±1020\pm 10
UM461 11:51:33 -02:22:22 13.6 6.7±1.06.7\pm 1.0 8.6±0.78.6\pm 0.7

All four galaxies have lower metallicities in the bright star-forming regions than elsewhere. The metallicity drops in SBS0 (J094416.6+541134.4), SBS1 (J113202.4+572245.2), and UM461 (J115133.3-022221.9) were shown by Sánchez Almeida et al. (2015) using the long-slit spectrograph OSIRIS at the 10.4 m Gran Telescopio Canarias111http://www.gtc.iac.es/GTChome.php. The metallicity drop in Kiso 3867 was shown by Sánchez Almeida et al. (2013) using the spectrograph IDS of the 2.5 m Isaac Newton Telescope at the Observatorio del Roque de Los Muchachos.

SBS0, SBS1 and Kiso 3867 are morphological tadpoles, which suggests they are inclined disks. UM461 is presumably more face-on (inclination \sim30±\pm 10; van Zee et al., 1998). UM461 is also unusual in having 2 luminous, compact, young stellar regions. The Hi line map of UM461 by van Zee et al. (1998) shows an extended Hi disk, typical of blue compact dwarf (BCD) systems, with no indication of a tidal interaction with the nearby UM462 system. The outer Hi shows evidence for filamentary structures. Similar features in other BCDs are suggested as possible indications of ongoing gas accretion (e.g., IC10; Wilcots & Miller (1998); Namumba et al. (2019), but see also comments by Lelli et al. (2014)).

Ekta et al. (2006) mapped SBS1 in the Hi 21 cm line using the Giant Metrewave Radio Telescope (GMRT). SBS1 is interacting with its more massive companion galaxy SBS 1129+577 and an Hi bridge joins the two galaxies. The interaction, however, seems unlikely to be the source of low metallicity material in SBS1 since the more massive and optically brighter SBS 1129+577 galaxy is expected to have higher metallicity than SBS1. Kiso 3868 (AGC 194068) was observed by Pustilnik & Martin (2007) using the Nançay telescope with Arecibo in the ALFALFA Hi survey (Haynes et al., 2018) with log(MHI/M)=7.6{}_{\odot})=7.6 and MHI/LB{}_{B}\approx3 (Durbala et al., 2020). The SBS0 system has only a weak upper limit on the Hi mass that still allows it to be a gas-rich system (Filho et al., 2013). In summary, the tadpoles in our sample resemble typical low luminosity BCDs in terms of their Hi properties and include the SBS1 interacting system and 3 examples of apparently single dwarf tadpole galaxies.

Our observations and data reduction methods are presented in Section 2, the analysis of large star-forming clumps, which include clusters and other young stars, is discussed in Section 3, the star clusters themselves are considered in Section 4, cluster mass and age distribution functions are in Section 5, Hα\alpha emission is in Section 6, and the conclusions are in Section 7.

2 Observations

The four tadpoles in our sample were imaged with the Hubble Space Telescope for Cycle 27 GO proposal 15860 using the WFC3/UVIS and ACS cameras between November 2019 and April 2021. The filters used were F390W (U), F547M (V), and F657N (Hα\alpha) with WFC3/UVIS, and F814W (I) with ACS, with 1 orbit for each filter per galaxy, for a total of 16 orbits.

The 5σ\sigma detection limits in AB mag from the HST exposure time calculator (ETC) for point sources are 27.2, 26.6, and 27.1 for filters F390W, F547M, and F814W, respectively. The 5σ\sigma limit for the Hα\alpha filter F657N is 4.5×10174.5\times 10^{-17} erg cm2 s-1.

The WFC3/UVIS images were custom calibrated using the routines developed in Rafelski et al. (2015) and Prichard et al. (2022). First, the images were corrected with a pixel based correction for charge transfer efficiency (CTE) degradation to account for the radiation damage over time (MacKenty & Smith, 2012). We utilized the new improved CTE algorithm (Anderson et al., 2021) with reduced noise amplification and improved corrections. We used the new co-temporal UVIS darks to apply a custom hot pixel mask using a variable threshold as a function of distance from the amplifier readout to detect a constant number of hot pixels across the CCDs222https://github.com/lprichard/HST_FLC_corrections. We flagged readout cosmic rays, which are cosmic rays that land on the CCD while being read out, and are otherwise over-corrected by the CTE code which would result in negative divots in the images. We then equalized all four amplifier regions to produce images with constant background levels333https://github.com/bsunnquist/uvis-skydarks. Finally, due to the small number of exposures per filter, we applied a custom cosmic ray rejection based on the Astropy implementation of the LACOSMIC procedure444https://github.com/mrevalski/hst_wfc3_lacosmic (van Dokkum, 2001; McCully & Tewes, 2019).

The resulting custom calibrated science exposures were aligned to GAIA DR2 (Gaia Collaboration et al., 2018) with TweakReg and combined with AstroDrizzle with a 0.8 pixel fraction at a final pixel scale of 0.03′′. Root mean square (RMS) uncertainty maps were created from the inverse variance (IVM) images as 1/sqrt(IVM), and were corrected for correlated pixel noise (Fruchter & Hook, 2002).

Refer to caption
Figure 1: Tadpole images from HST WFC3 and ACS observations, using filters F390W, F574M, and F814W for blue, green, red. The galaxies are labeled. The line indicates 500 pc; the HST images have pixel scales of 0.03′′0.03^{\prime\prime}. N is up, E to the left.
Refer to caption
Figure 2: Color composite figures as in Figure 1 using filters F390W, F574M, and F814W for blue, green, red, but here with logarithmic stretches. N is up, E to the left.

Color composite figures were made in the Image Reduction and Analysis Facility (IRAF) using RGB in DS9, with the F390W (for blue), F547M (for green), and F814W (for red) images. These are shown in Figures 1 and 2 for linear and logarithmic stretches, respectively. As traced by the relative blue colors, star formation is prominent in the heads of SBS0 and Kiso 3867. The head is not as prominent in SBS1, which also has some bright star-forming regions along its tail. UM461 has two large star-forming regions in the E and W portions in the northern half of the galaxy. Star clusters are evident in several regions throughout the galaxies, discussed below. The logarithmic stretches show extended emission well beyond the brightest parts of the disks. In UM461, the southwest part of the galaxy is extended away from the star-forming peaks and a ridge containing young stellar populations extends westwards from the north side of the system.

To quantify the continuum associated with the Hα\alpha images, a linear interpolation of the F547M and F814W filters was performed. First, each broad-band image was normalized to the Hα\alpha image by dividing it by the ratio of the corresponding PHOTFLAM values stored in the image header. This bring the three images into a common photometric system, where a source with constant flux per unit wavelength would have exactly the same number of counts. Aperture photometry was then carried out for those stellar objects in the field visible in the three filters, excluding those objects too faint in the Hα\alpha image to give meaningful results, and those that appeared to be saturated in the F814W frame. There were only two or three useful stellar objects for each galaxy, so that a continuum fit on a galaxy by galaxy base was not feasible. Instead, the results for the four galaxies were merged together, for a total of 10 useful sources, and the best fit was computed to the relation:

f(F657N)=a×f(F814W)+b×f(F547M)f(F657N)=a\times f(F814W)+b\times f(F547M) (1)

where ff are the fluxes (on the normalized images) derived from the aperture photometry. The best-fit coefficients are: a=0.524±0.139a=0.524\pm 0.139 and b=0.456±0.130b=0.456\pm 0.130, with the uncertainties computed using the bootstrap method. Equation (1) assumes the calibration stars to have negligible Hα\alpha emission and an average spectral energy distribution (SED) similar to the stellar parts of the galaxies.

As an example, Figure 3 shows the Hα\alpha image of SBS1 before and after continuum subtraction. The Hα\alpha image was calibrated considering the throughput of the whole optical system, including the F657N filter, at the observed Hα\alpha wavelength.

Refer to caption
Figure 3: Hα\alpha image of SBS1 before (left) and after (right) continuum subtraction, as discussed in Section 3.
Refer to caption
Figure 4: F390 images are shown for each galaxy, with green isocontours corresponding to 20σsky\sigma_{sky} in the galaxies and σsky\sigma_{sky} in the outer parts. The flux for each star-forming clump, marked in the figure, is integrated within the contour. Measurements were made in boxes drawn around these contours for clumps larger than 20 pixels diameter, as labeled.
Refer to caption
Figure 5: Histograms are shown for the ages, masses, and star formation rates (based on age/mass) for the measured clumps, indicated in Figure 4, based on the values provided in Table 2.
Table 2: Clump Properties
Clump log MassaaThe masses and ages of the clump regions corresponding to rectangles as described in the text, measured at contours 20σsky\sigma_{sky}. The star formation rate is assumed to be constant over a time span given by the age. log Age AV log SFR Surf Dens
M yr mag M yr-1 M pc-2
SBS0
1 5.3±0.245.3\pm 0.24 6.4±0.316.4\pm 0.31 0.48±0.310.48\pm 0.31 1.0-1.0 11.311.3
2 4.2±0.214.2\pm 0.21 6.3±0.246.3\pm 0.24 0.54±0.240.54\pm 0.24 2.1-2.1 3.93.9
3 3.8±0.303.8\pm 0.30 6.5±0.426.5\pm 0.42 0.49±0.400.49\pm 0.40 2.7-2.7 4.74.7
SBS1
1 4.2±0.254.2\pm 0.25 6.3±0.336.3\pm 0.33 0.47±0.340.47\pm 0.34 2.1-2.1 2.52.5
2 4.6±0.294.6\pm 0.29 6.5±0.476.5\pm 0.47 0.52±0.390.52\pm 0.39 2.0-2.0 3.33.3
3 4.3±0.324.3\pm 0.32 6.9±0.686.9\pm 0.68 0.77±0.530.77\pm 0.53 2.5-2.5 2.92.9
4 4.2±0.294.2\pm 0.29 7.1±0.687.1\pm 0.68 0.75±0.560.75\pm 0.56 2.8-2.8 4.34.3
5 3.8±0.013.8\pm 0.01 6.1±0.136.1\pm 0.13 0.05±0.050.05\pm 0.05 2.3-2.3 1.11.1
6 5.0±0.115.0\pm 0.11 6.2±0.206.2\pm 0.20 0.31±0.220.31\pm 0.22 1.2-1.2 3.33.3
Kiso 3867
1 4.7±0.324.7\pm 0.32 6.8±0.566.8\pm 0.56 0.66±0.470.66\pm 0.47 2.0-2.0 6.76.7
2 4.2±0.314.2\pm 0.31 7.0±0.697.0\pm 0.69 0.78±0.540.78\pm 0.54 2.7-2.7 6.16.1
3 3.6±0.263.6\pm 0.26 7.4±0.697.4\pm 0.69 1.13±0.621.13\pm 0.62 3.8-3.8 13.813.8
4 3.4±0.343.4\pm 0.34 6.7±0.516.7\pm 0.51 0.59±0.470.59\pm 0.47 3.3-3.3 4.54.5
5 3.2±0.323.2\pm 0.32 6.5±0.426.5\pm 0.42 0.58±0.400.58\pm 0.40 3.3-3.3 6.36.3
6 4.0±0.294.0\pm 0.29 7.2±0.807.2\pm 0.80 0.97±0.650.97\pm 0.65 3.2-3.2 10.010.0
7 3.9±0.333.9\pm 0.33 6.6±0.456.6\pm 0.45 0.60±0.420.60\pm 0.42 2.7-2.7 4.64.6
8 3.1±0.103.1\pm 0.10 6.2±0.196.2\pm 0.19 0.27±0.190.27\pm 0.19 3.1-3.1 4.04.0
9 3.7±0.303.7\pm 0.30 7.0±0.727.0\pm 0.72 0.82±0.590.82\pm 0.59 3.3-3.3 13.513.5
10 3.2±0.113.2\pm 0.11 6.3±0.206.3\pm 0.20 0.28±0.150.28\pm 0.15 3.1-3.1 2.72.7
UM461
1 5.6±0.305.6\pm 0.30 6.7±0.566.7\pm 0.56 0.57±0.430.57\pm 0.43 1.1-1.1 14.714.7
2 4.8±0.294.8\pm 0.29 6.5±0.426.5\pm 0.42 0.57±0.360.57\pm 0.36 1.7-1.7 6.86.8
3 4.4±0.274.4\pm 0.27 7.4±1.077.4\pm 1.07 0.99±0.760.99\pm 0.76 3.0-3.0 26.526.5
4 4.0±0.324.0\pm 0.32 6.8±0.596.8\pm 0.59 0.64±0.490.64\pm 0.49 2.8-2.8 4.24.2

3 Large-scale Star-forming Clumps

Photometric measurements were made of the large-scale star-forming complexes, or clumps, larger than 20 pixels (0.6′′0.6^{\prime\prime}) in diameter for each galaxy using the task imstat in IRAF. Boxes were defined around the clumps based on isophotal contours in the F390W image at 20σsky20\sigma_{sky}, labeled in Figure 4. The background was subtracted from each clump measurement to derive the clump magnitudes. Photometric zeropoints calculated from the WFC3 website555http://www.stsci.edu/hst/wfc3/phot_zp_lbn and ACS website666https://www.stsci.edu/hst/instrumentation/acs/data-analysis/zeropoints were used to convert counts to AB mag.

Ages and extinctions for the tadpole clumps were determined by fitting stellar population models to the observed spectral energy distributions, using the (U-V) and (V-I) colors. The observed colors were corrected for background by subtracting in each filter the counts for nearby fields from the counts in the clumps. Uncertainties in the corrected counts were set equal to the square roots of the sums of the standard deviations in the clump and background counts, weighted by the number of pixels for each, and the relative uncertainties were taken to be these corrected uncertainties divided by the total background-subtracted counts in the clump. The relative uncertainties in the colors were taken to be the square roots of the sum of the squares of the relative uncertainties in each passband. On average, the uncertainties in the colors, converted to magnitudes, were 0.69 mag for (U-V) and 0.71 mag for (V-I).

The intensities were modelled with single stellar population models at 0.2 solar abundance and a Kroupa IMF in Bruzual & Charlot (2003) using the full model spectrum at each trial age multiplied by exp(τ)\exp(-\tau) for wavelength-dependent dust opacity τ\tau and by the wavelength-dependent filter throughput. We used extinction curves from Calzetti et al. (2000) and Leitherer et al. (2002) with AVA_{V} ranging from 0 to 4 mags in steps of 0.1 mag. Throughputs for the UVIS filters are from the WFC3 website777http://www.stsci.edu/hst/wfc3/ins_performance/throughputs/Throughput_Tables. The two observables, (U-V) and (V-I), were thus converted to two physical quantities, age and extinction.

The resulting intensities for each passband were integrated over time for population ages back to some start time, which is identified with the age of the region. This integration assumes a constant star formation rate. The population models assume a Chabrier IMF with a metallicity of 0.2 solar. Trial models varied the population age from 10610^{6} to 101010^{10} years in 16 equal steps of log(age)\log({\rm age}). For each age and extinction, the model colors were set equal to 2.5-2.5 times the log of the ratio of intensities.

The best simultaneous fit for age and extinction was determined by minimizing the differences between the model and observed colors. One method weighted all of the age and extinction values by exp(χ2/2)\exp(-\chi^{2}/2) within a limited range of χ\chi for χ2\chi^{2} equal to the sum of the squares of the differences between the observed and model colors divided by their respective uncertainties. We then used the average of these weighted values as the fitted solution. A second method took the χ2\chi^{2} weighted average of the age plus extinction values with the lowest root mean square differences between the model and observed colors, binning these differences in steps of 0.1 mag. The uncertainties for both methods were taken to be the rms uncertainties in these averages. Both methods gave about the same results, so here we report those from the latter method.

After the ages and extinctions were fit from the colors, the masses of the clumps were determined by setting the observed absolute intensity in the I band to the model absolute intensity, using the mass versus age tabulation in Bruzual & Charlot (2003).

Table 2 lists the masses, ages, and extinctions derived from model fits to the photometry for the large-scale clumps in the galaxies, as well as SFR and stellar surface density. The star formation rates listed are the ratios of the total stellar masses formed (not the present masses) divided by the ages.

The clump average log (Mass) (MM_{\odot}) is 4.1±0.7\pm 0.7. The total log mass in clumps in each galaxy is 5.4, 5.3, 5.0, and 5.7, in listed galaxy order. The clump average log (Age) (yrs) is 6.7±0.4\pm 0.4, with a range from 6.1 to 7.4. Extinction AV ranges from 0.3 to 1.1 mag for all of the clumps, with an average of 0.6±0.2\pm 0.2 mag. The log SFR average for the clumps is -2.5±0.8\pm 0.8. Histograms showing the distributions for all 4 galaxies for mass, age, and SFR are shown in Figure 5. The sizes of the clumps (from the square root of the area of the clumps) range from 16 to 162 pc, averaging 65±47\pm 47 pc. Stellar surface densities range from 1.1 to 26.5 MM_{\odot} pc-2, with an average of 7.0±5.7\pm 5.7 MM_{\odot} pc-2. For comparison, the background surface densities range from 22 to 97 MM_{\odot} pc-2, with an average of 43.5±29.7\pm 29.7 MM_{\odot} pc-2.

For comparison, Lagos et al. (2011) used Gemini/NIRI J, H, K images of UM461 to measure star complexes and modeled their masses and ages. Their clumps 2 and 5 in their figure 4 correspond to our biggest clumps 1 and 2, respectively. Their (log (Age), log (Mass)) for these are (6.3, 5.6) and (6.4, 4.6) compared with our values of (6.7, 5.6) and (6.5, 4.8), so the infrared and optical results are similar. Their clumps 1 and 9 are similar to our 4 and 3 also. In addition, they find several clumps with log mass (MM_{\odot}) 4.6\sim 4.6 that do not stand out in our optical images. In particular, their clump 4 has no obvious optical counterpart, indicating obscuration south of our clump 1.

Our simultaneous fitting of age and extinction to only two broadband colors, (U-V) and (V-I), produces uncertainties in both quantities, especially since they compensate for each other with older ages giving redder colors like higher extinctions. To check the inaccuracies, we forced all the fits for star complexes to a constant extinction of AV=0.1A_{V}=0.1 mag, which is less than the fitted values. As expected, the ages increase and the masses decrease a little. For the four galaxies SBS0, SBS1, Kiso 3867 and UM461, respectively, the averages in the log (Mass) (MM_{\odot}) decrease from 4.4 to 4.1, 4.4 to 4.2, 3.7 to 3.5, and 4.7 to 4.4. The averages in the log (Age) (yr) increase from 6.4 to 6.8, 6.5 to 6.9, 6.8 to 7.4, and 6.9 to 7.6. These represent a 5% decrease in log (Mass) and a 8% increase in log (Age). The star formation rates obtained by the ratios of mass to age decrease with these changes, by an average factor of 5.8 (-0.76 in the log) for all galaxies if AVA_{V} is forced to equal 0.1 mag.

The extended diffuse components of the galaxies are expected to be older than the clumps, which photometric fits confirm. These outer diffuse regions are highlighted in the logarithmic stretch images in F814W shown in Figure 6. SBS0 shows extensions in the NE and SW, SBS1 shows extensions in the N and S, Kiso 3867 shows extensions in the W and particularly in the E, and UM461 shows a long extension in the SW. Rectangular boxes devoid of obvious clumps or star clusters were measured for background subtraction of the clumps, described earlier, and to determine surface brightnesses and ages. A histogram of their ages is shown in Figure 7; their average log (Age) (yrs) is 9.3±0.4\pm 0.4.

Refer to caption
Figure 6: Logarithmic stretches of the F814W images for each galaxy are shown. N is up, E is to the left. The white boxes correspond to the non-clump regions measured in each galaxy.
Refer to caption
Figure 7: A histogram is shown for the ages of the interclump regions measured in the outer parts of the galaxies, as indicated by rectangles in Figure 6.

4 Star Clusters

4.1 Cluster measurements

To study star clusters in each galaxy, we extracted photometry for all compact, point source-like sources using SourceExtractor (Bertin & Arnouts, 1996). We varied the background matching and subtraction parameters across a wide range of parameters, from finely-grained to large-scale to account for systematic uncertainties in estimation the underlying galaxy contribution. Final photometry was obtained in circular apertures, detected in the F814W band, and fixed in position across all different bandpasses to extract physically consistent colors and thus spectral energy distributions across all bands. Photometry variations due to the different background modeling strategies were accounted for alongside the photometric uncertainties as total uncertainties. To extract physical parameters for each cluster we used χ2\chi^{2} minimization to fit each observed SED to a grid of GALEV stellar population models of fixed metallity of [Fe/H]=0.7\mathrm{[Fe/H]}=-0.7 and a Kroupa-IMF with an upper mass limit of 100 M, with stellar population age, dust reddening using the Calzetti extinction law, and stellar mass as free parameters to be optimized. While we included data from the F659N band in the photometry, we chose to not include data in this band for the SED fitting due to the more extended nature of the Hα\alpha emission.

Note that due to the forced photometry with detection in the F814W band, we may obtain no significant detection in the shorter wavelength bands for older and/or low-mass clusters. We therefore require a valid 5σ5\sigma detection (combined uncertainty <0.2<0.2 mag) in the F390W band for a cluster to be include in the subsequent analysis.

Figure 8 shows the spatial distribution of all detected star clusters, color-coded by age, in the 4 galaxies. The clusters themselves can be seen as bright spots in Figure 1, where bluer clusters also correspond to younger ages, although not quantified as in Figure 8. The results for each galaxy are discussed below.

Refer to caption
Figure 8: Color-composite of SBS0, SBS1, Kiso3867, and UM461, overlaid with star cluster ages. The age color scale is shown on the right.

To obtain cluster sizes and from there size-appropriate aperture corrections, we followed the overall strategy presented in Ryon et al. (2017). We generated a large number of model star clusters, convolved with the instrumental PSF, for a range of intrinsic effective radii ranging from 0 to 0.3 arcsec, corresponding to a physical radius from 0 to 16 pc for the nearest galaxy (Kiso 3867). Due to the finite size, we could then derive a correlation between intrinsic size and the differential magnitude between two differently sized apertures; we chose to use the F547M band for this since it is free of nebular emission, and thus the derived star cluster sizes are the least affected by more extended gaseous emission. We chose sizes of 3 and 7 pixels for the two apertures to provide sufficient leverage on the differential photometry, large enough to avoid centering issues, yet small enough to not be significantly affected by nearby sources. From the ensemble of measurements we then derived a spline fit to translate differential photometry directly into intrinsic sizes (first measured in pixels, and converted to physical sizes accounting for the distance to each galaxy). The resulting measurements and derived fits are presented in Figure 9. The same data can also be used to provide size-dependent aperture corrections, using the sizes obtained as described here.

Refer to caption
Figure 9: Differential photometry for two apertures varying in size derived for synthetic sources of varying effective radii; Shown in blue, with values along the left y-axis are differential apertures as detailed in the text. Shown in red, with values along the right y-axis, are aperture corrections to correct measurements in the smaller aperture to a total integrated magnitude in an infinitely sized aperture.

4.2 SBS0

In SBS0 we find typically young ages <10<10 Myr for sources in and around the main head of the galaxy. The main body of the galaxy shows a variety of cluster ages, ranging from very young to old, with several of the youngest clusters being associated with Hα\alpha emission in the main body. We do not observe any significant age trends throughout the main galaxy (besides the overall young ages in the head).

We measured approximate major axis lengths Amajor of the tadpoles based on the visible extent of the galaxies on the HST F814W images. The major axis of SBS0 determined by this method is DHST{}_{HST}\approx 23 arcsec, corresponding to Amajor{}_{major}\approx 2.6 kpc for its distance of 24.7 Mpc.

4.3 SBS1

SBS1 (DHST{}_{HST}\approx 47 arcsec; Amajor{}_{major}\approx 5.5 kpc) has a single large star-forming site in the south, less dominant than in the other galaxies in this paper, plus a smaller site near the center.The smaller apparent size of the brightest star forming region in SBS1 is primarily due its location in a relatively large galaxy. There are star clusters scattered across the galaxy, including older clusters between the head and the midsection, with no clear age progression. The Hi tidal bridge is to the north, on a larger spatial scale than the galaxy, and does not appear to be directly connected to the current star forming patterns.

4.4 Kiso 3867

Kiso 3867 (DHST{}_{HST}\approx 46 arcsec; Amajor{}_{major}\approx1.5 kpc) has most young clusters near the head of this small dwarf galaxy, but no clear age trend away from the age and into the tail. Noteworthy are the asymmetric distribution of very young clusters extending away from the midplane of the galaxy, in agreement with the morphology of the nebular emission.

4.5 UM461

In UM461 (DHST{}_{HST}\approx24 arcsec; Amajor{}_{major}\approx 1.5 kpc), the youngest star clusters are around the two main clumps, near Hα\alpha regions, and along the western edge. There are intermediate ages between the clumps, and older clusters throughout the galaxy. There is a sprinkling of more young clusters in the north-western part of the galaxy, extending away from the main body of this small system, some of which appear to be associated with faint nebular emission.

5 Cluster mass and age functions

Cluster mass distribution functions are typically power laws with a slope of around 1-1 on a log-log plot, corresponding to a function n(M)dMM2dMn(M)dM\propto M^{-2}dM for equal intervals of mass, M (Krumholz et al., 2019). Of interest for these galaxies is whether the mass functions have a statistically significant deviation from a power law at high mass, either a decrease as in a Schechter function, or an increase because of high-mass cluster outliers.

The cluster age distribution function is also interesting as this results from a combination of the cluster formation and destruction rates.

In the present study, there are too few clusters to determine a statistically significant probability distribution function for cluster mass in each galaxy, so a composite function was made for all the galaxies together by suitable normalization, assuming that this function is a power law. A composite age distribution function, or cluster decay rate, was determined as well. As before, we included only clusters with photometric uncertainties in the F390W band that are less than 0.2 mag, giving cluster numbers of 38 for SBS0, 96 for SBS1, 135 for Kiso 3867, and 267 for UM461.

Figure 10 shows the distribution of cluster mass versus age for each galaxy. The characteristic lower limit to the mass at each age is from the limiting apparent magnitude. Concentrations in age around 4 Myr are due to this age being the lowest available age in our model grid, whereas concentrations at 100 Myr and 1 Gyr are due to the variation of (V-I) color with population age. At 100\sim 100 Myr, the (V-I) color changes rapidly due to the appearance of the first red supergiants, followed by a roughly flat color evolution between 10810^{8} and 10910^{9} years. When the color changes rapidly, a large range of color due to measurement uncertainties corresponds to a small range of age, concentrating the clusters at that age. In practice, due to the limited SED coverage of our observations, the SED fitting likely favors an age at either the young or the old limits of this color-plateau.

Refer to caption
Figure 10: The cluster mass is plotted versus the cluster age for all significant clusters in the four galaxies. The lower limits to the distributions are from detection limits. The cluster numbers decrease vertically according to the cluster mass function, and they decrease to the right according to the cluster age function.

To make a composite mass-age diagram, we multiply all the cluster masses by (10/D)2(10/D)^{2} for galaxy distance DD in Mpc. This increases the masses for closer galaxies and decreases them for distant galaxies, making the detection limit the same for each, as if they were all at 10 Mpc.

After this, the lower limits to the mass-age distributions are all the same and they can be stacked into a composite diagram. This composite is shown in Figure 11. At each age, the vertical distribution of points is the cluster mass function. At each mass, the horizontal distribution of points is the age distribution, which for a constant formation rate is the survival distribution function, i.e., the number of clusters of a particular mass that survive as a function of age. Typically the vertical density of points tapers off like 1/M\sim 1/M, which means the mass function is dn/dMM2dn/dM\sim M^{-2}, and the horizontal density of points is approximately constant or increasing slightly, meaning the cluster number decreases like 1/1/age or shallower (Whitmore et al., 2007).

Refer to caption
Figure 11: The cluster masses are plotted versus age for all the clusters combined from the four galaxies. Cluster masses were normalized to a common distance of 10 Mpc.

The cluster mass function for distance-normalized cluster masses was determined in two ways, first for a few narrow age intervals and then by stacking these intervals with appropriate vertical shifts. The age intervals were taken to be the three discrete ages at small age, namely, 4, 8, and 12 Myr, and the two other intervals with age concentrations, log(age)=\log({\rm age})= 7.6 to 8.3, and log(age)=\log({\rm age})=8.8 to 9.2, for ages in years. These five intervals give five mass functions, which are each fairly noisy because of the small numbers of clusters in each. The left-hand panel of Figure 12 shows the resulting composite mass functions in the five age intervals, where each one combines all the galaxies by the distance normalization. There is a systematic shift toward higher masses for older clusters from the rising lower limit to the mass-age plot in Figure 10.

The age intervals can be combined by shifting the masses of the younger clusters upward by an appropriate amount. Stacking the result essentially assumes the mass function is a power law, but it does not assume any particular power. To do this stacking, we multiply all the cluster masses in each age interval by the ratio of the minimum cluster mass in the log(age)=7.6\log({\rm age})=7.6 to 8.3 interval to the minimum in that interval. This makes all the minimum masses have the same minimum as the 7.6 to 9.3 log-age interval. All five shifted mass functions are then stacked to make one composite mass function. The result is shown on the right in Figure 12.

Refer to caption
Figure 12: Mass distribution function for all clusters combined in the four tadpole galaxies. Left: After a first normalization to a common distance of 10 Myr, the cluster mass distributions are shown in 5 age bins, i.e., three around 4, 8, and 12 Myr (blue, red, green), and the ranges given by log(age)=7.6\log({\rm age})=7.6 to 8.3 (black) and 8.8 to 9.2 (magenta). There is a slight shift to the right with increasing age, reflecting the slope of the detection limit. Right: The stacked composite cluster mass function obtained after a second normalization that shifts all the lower limits from detection losses in each age bin to the lower limit at log(age)=7.6\log({\rm age})=7.6 to 8.3. These normalizations conserve the slope of the cluster mass function if it is a power law. The result in the figure is a power law, confirming the assumption, and the slope of the composite power law, 1.15±0.17-1.15\pm-0.17, is the best representation for the composite function. There are no outliers at high mass and there is no indication of a fall-off as in a Schechter function.

Figure 12-right shows a smooth power law mass function with a slope of 1.15±0.17-1.15\pm 0.17 (90% confidence interval by the student-t distribution). This agrees with the idealized case resulting from wide-spread hierarchical structure in star formation, where the slope on a log-log plot would be -1 (Elmegreen & Efremov, 1997). There are no outlier masses beyond the power law at the high end, and no drop-off there either, as in a Schechter function (see also Mok et al., 2020).

The average age distribution can be found in a similar way, assuming the actual distribution is a power law in age, by taking the age distributions in narrow distance-normalized mass windows and shifting them all to have the same maximum value, again following the detection limit in the mass-age diagram. The distance-normalized mass intervals are given by log (Mass) (M)=2.53(M_{\odot})=2.5-3, 33.53-3.5, 3.543.5-4, 44.54-4.5 and 4.554.5-5. The result is shown in Figure 13. The slope of the distribution is 0.24±0.210.24\pm 0.21 (90% confidence interval by the student t-distribution). This slope implies that the number of clusters decays with time as dn(t)/dtt0.76±0.21dn(t)/dt\propto t^{-0.76\pm 0.21}.

Refer to caption
Figure 13: Age distribution function for all clusters combined in the four tadpole galaxies. Left: After a first normalization to a common distance of 10 Myr, the cluster age distributions are shown in 5 mass bins, i.e., log(mass)=2.53\log(mass)=2.5-3, 33.53-3.5, 3.543.5-4, 44.54-4.5 and 4.554.5-5 in solar masses (with curve colors blue, red, green black and magenta, respectively). There is a slight shift to the right with increasing mass, reflecting the slope of the detection limit. Right: The stacked composite cluster age function obtained after a second normalization that shifts all the upper limits from detection losses in each age bin to the upper limit at log(age)=4\log({\rm age})=4 to 4.5. These normalizations conserve the slope of the cluster age function if it is a power law.
Refer to caption
Figure 14: Color composite images using F390W for blue, F547M for green, and F657N (not continuum subtracted) for red.

6 Hα\alpha Emission

6.1 Cluster positions and Hα\alpha

Figure 14 shows a color composite image using F390W for blue, F547M for green, and F657N including the Hα\alpha emission for red. Overall we find good agreement between location of young clusters and Hα\alpha regions, but often Hα\alpha emission is noticeably more extended, which is not unexpected in these comparably low density environments. We do not find age gradients of the clusters inside the complexes nor in the galaxies as a whole. We also notice several young star clusters with no significant Hα\alpha emission, with no obvious explanation. Possible reasons could be: low gas density and thus low Hα\alpha surface brightness below our detection threshold; many of the clusters are also very low mass, so overall Hα\alpha luminosity is expected to be low as well; lastly, we can not rule out that at least some fraction of the ionizing radiation is leaking out of the immediate vicinity of the cluster, potentially contributing to Hα\alpha luminosity elsewhere or even leaving the galaxy altogether.

It therefore appears that the intense star forming regions in our sample galaxies are likely special events, but are not isolated, as shown by the “halos” of surrounding less massive young star clusters. The event that produced the tadpole “heads” involved the production of large scale massive clouds, but was also associated with more distributed star formation activity extending throughout the larger volume of the galaxy. Again it is not clear if these are associated – with some event triggering both distributed and concentrated star formation – or distinct phenomena where the particular tadpole features are triggered separately and are merely embedded into the pre-existing star formation activity throughout the galaxy. Clustered but disorganized age patterns are typical of low mass irregular and related galaxies.

6.2 Hα\alpha measurements

In order to measure the total Hα\alpha luminosity of each of the four galaxies, we integrated the total counts in the continuum-subtracted Hα\alpha image over the region dominated by the line emission. In doing so, care must be taken to include all pixels with line emission, and at the same time exclude adjacent pixels with no emission that would only add to the noise in the measurement. A simple, effective way to achieve this is to convolve first the image with a Gaussian, then build a mask by setting to 1 all pixels above a given threshold (and 0 the pixels below such threshold) in the convolved image. The continuum subtracted Hα\alpha image is then multiplied by this mask, and the total counts computed. Some contaminant objects in the field, but clearly not associated to the galaxy, were masked out by hand.

We found that a convolution with a Gaussian with FWHM=12{\rm FWHM}=12 pixels and a threshold corresponding to a flux of 19×101719\times 10^{-17} ergs s-1 cm-2 arcsec-2 (approximately the rms of the background) worked best for our objects.

The conversion factor from counts to flux was computing by using the formula:

Fλ𝑑λ=Chcλ01T(λ0)1Ageo\int F_{\lambda}d\lambda=C\frac{hc}{\lambda_{0}}\frac{1}{T(\lambda_{0})}\frac{1}{A_{\mathrm{geo}}}

where CC is the count rate, λ0\lambda_{0} is the wavelength of the redshifted Hα\alpha line, T(λ0)T(\lambda_{0}) is the transmission value of the throughput of the F657N filter at λ0\lambda_{0}, and AgeoA_{\mathrm{geo}} the collecting area of the telescope. Developing the above formula we obtain:

Fλ𝑑λ=2.65×1016×C\int F_{\lambda}d\lambda=2.65\times 10^{-16}\,\times C

(in ergs s-1 cm-2).

The conversion factors computed this way agree very well with the one computed by the product PHOTFLAMWeff\textrm{PHOTFLAM}*W_{\mathrm{eff}}, where PHOTFLAM is the value recorded in the Hα\alpha image header, defined as ”the flux of a source with constant flux per unit wavelength (in ergs s-1 c-2 λ1\lambda^{-1}) which produces a count rate of 1 DN per second”, and WeffW_{\textrm{eff}} is the effective width of the F657N filter. Note however that this latter method does not take into account the variation of the filter transmission curve as a function of λ\lambda.

In all four galaxies, the main Hα\alpha clumps have been identified as those Hα\alpha emitting regions inside which the flux, in each pixel, is above 75 ×1017\times 10^{-17} ergs s-1 cm-2 arcsec-2, and the total Hα\alpha flux measured. The central parts of the bigger clumps were identified by setting a threshold 2 mag higher.

For both the total and the clump Hα\alpha emission the corresponding star formation rate was computed from the following formula (Kennicutt & Evans, 2012):

log(SFR)=5.84+log(F(Hα))+2log(D/15)\log({\rm SFR})=-5.84+\log(F(H\alpha))+2*\log(D/15)

where SFR is in M{M}_{\odot} yr-1, F(Hα)F(H\alpha) is in 101710^{-17} ergs s-1 cm-2, and the distance DD is in Mpc.

Table 3 lists, for each galaxy and its clumps, the total Hα\alpha flux, the integration area, and the SFR.



Refer to caption
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Figure 15: The main clumps identified and labeled on a Hα\alpha map of the galaxies, shown in logarithmic scale. The labels correspond to the clumps listed in Table 3. The white contours correspond to a flux level of 75 101710^{-17} ergs s-1 cm-2 arcsec-2, while gray contours are 2 mag brighter.

The uncertainty on the computed Hα\alpha flux inside a given region is largely due to the accuracy of the continuum subtraction in the Hα\alpha image. To estimate this uncertainty, we computed two other continuum-subtracted Hα\alpha images, the first by increasing by ±20%\pm 20\% the coefficient aa in equation 1, and decreasing bb by the same amount, the second the other way around. The Hα\alpha fluxes were then computed on these two images, inside the same star-forming knots, and compared to the correct values to derive an average difference, expressed in percentage.

The error on the integrated flux of the Hα\alpha emission depends more on the exact value of the threshold used to compute it than on the accuracy of the continuum subtraction. We thus recomputed the integrated flux by changing by ±20%\pm 20\% the adopted threshold, and estimated the corresponding uncertainty (in percentage) as half the difference between these two values divided by the Hα\alpha flux.

Many of the Hα\alpha clumps correspond with the large-scale star-forming clumps described in Sect. 3 and shown in Figure 4. The star formation rates based on the Hα\alpha measurements are plotted versus the clump masses in Figure 16, where a tight correlation is seen. The average ratio of the clump mass to the Hα\alpha SFR is 31±1.831\pm 1.8 Myr, which is one possible measure of the mean lifetime of the regions. This lifetime is longer than the photometric ages given in Table 2, which were used to derive the SFRs there. The average photometric age of the clumps is 4.7 Myr for all galaxies if the extinction is taken to be a free parameter, increasing to 16.4 Myr if AV=0.1A_{V}=0.1 is forced. These small values compared to 31 Myr are a hint that some Hα\alpha flux may be missing, perhaps a factor of 2 or more for the young stellar clumps. In other words, the SFR from Hα\alpha is slightly smaller than the SFR from SED fitting. The next section discusses the possibility of missing Hα\alpha from a consideration of star cluster SED fits.

Refer to caption
Figure 16: The star formation rates based on Hα\alpha emission are plotted versus the corresponding large-scale clump masses in the four galaxies.
Table 3: Fluxes, areas, and SFRs for the Hα\alpha-emitting clumps
Clump Hα\alpha flux Uncert. Area log SFR
ergs s-1 cm-2 10-17 percent (arcsec2) (M yr-1)
SBS0:
total 48734873 5.9%5.9\% 31.2631.26 1.72-1.72
A 6969 2.2%2.2\% 0.400.40 3.57-3.57
B 109109 3.0%3.0\% 0.800.80 3.37-3.37
C 39413941 <1%<1\% 9.159.15 1.81-1.81
C1 21922192 <1%<1\% 1.651.65 2.07-2.07
SBS1:
total 50915091 9.1%9.1\% 47.3547.35 1.72-1.72
A 25512551 1.6%1.6\% 7.637.63 2.02-2.02
A1 15751575 <1%<1\% 1.241.24 2.23-2.23
B 989989 2.1%2.1\% 4.504.50 2.43-2.43
B1 330330 1.2%1.2\% 0.410.41 2.90-2.90
C 278278 2.2%2.2\% 1.131.13 2.98-2.98
C1 112112 1.1%1.1\% 0.130.13 3.37-3.37
Kiso 3867:
total 77777777 6.7%6.7\% 106.99106.99 2.65-2.65
A 49254925 2.5%2.5\% 31.9131.91 2.85-2.85
A1 467467 1.7%1.7\% 0.610.61 3.87-3.87
B 8181 2.6%2.6\% 0.890.89 4.63-4.63
UM461:
total 3128131281 1.2%1.2\% 84.4484.44 1.43-1.43
A 2551725517 <1%<1\% 19.2919.29 1.52-1.52
A1 2279322793 <1%<1\% 5.645.64 1.57-1.57
A2 162162 1.1%1.1\% 0.220.22 3.71-3.71
B 34253425 1.3%1.3\% 10.3010.30 2.39-2.39
B1 21132113 <1%<1\% 1.761.76 2.60-2.60
C 128128 2.1%2.1\% 1.071.07 3.82-3.82
D 180180 1.4%1.4\% 1.151.15 3.67-3.67

Note. — The uncertainties on the fluxes of the star-forming knots is computed by subtracting various continua, while the uncertainty on the total flux was derived by changing the flux threshold for integration. See text for details.

6.3 Comparison between observed Hα\alpha flux and predictions from star cluster SED fits

Combining theoretical expectations from the stellar population models and the observed best-fit parameters derived for the star clusters in each galaxy we can make an estimate on the expected flux of H-ionizing photons of the entire cluster population given the age and stellar mass of each star cluster. The results for this comparison are presented in Table 4. NLyC(Hα\alpha) is the observed emission rate of Lyman continuum photons in units of 105010^{50} s-1 that is required to power the integrated Hα\alpha emission from the galaxy, assuming Case-B and a standard conversion ratio of 2.2 between number of ionizing and Hα\alpha photons Osterbrock & Ferland (2006). NLyC(SED) is the theoretical summed emission rate from the clusters given their stellar populations, which were derived from the SED fits to each one (see Sect. 4), before aperture correction. NLyC(SED-Corr) is the Ly-C emission rate obtained from SED fits corrected with the aperture correction appropriate for each cluster given its size (also see Sect. 4). As such it presents the intrinsic ionizing photon production rate summed over all discrete, detected clusters, but before any attenuation due to possible surrounding dust; since dust attenuation is not known a priori and may be different from the reddening derived for the cluster light due to radiation transfer effects, these SED-corrected values thus present an upper limit to the actual, detectable ionizing flux.

Table 4: Observed and Calculated Ionizing Fluxes
Galaxy NLyC NLyC NLyC
from HαH\alpha SED SED-Corr
SBS0 8.3±0.48.3\pm 0.4 3.8 33
SBS1 8.2±0.38.2\pm 0.3 9.4 210
Kiso 3867 1.1±0.21.1\pm 0.2 1.6 21
UM461 16.4±0.0816.4\pm 0.08 3.7 38

For SBS1 and Kiso 3867, the required Lyc flux from the observed Hα\alpha is smaller than the theoretical Lyc flux from the SED fits to the clusters. Considering also the larger regions around the clusters, the SED fits would predict more than 20 times larger Hα\alpha fluxes that what is observed.

A feature of all of these galaxies, and especially SBS1 and Kiso 3867, is the large number of compact stellar groups and clusters. Kiso 3867 is the nearest system in our sample, which may partially account for the large number of resolved stellar clusters and groups. The ongoing interaction between SBS1 and its companion likely affected its evolution. These compact regions can readily supply a significant fraction and possibly all of the ionizing Lyman continuum flux from stars. This observation suggests first that Γ\Gamma, the fraction of young stars in clusters, may be high and at minimum >>10%. This result is interesting in terms of the possibility that these galaxies may be forming an unusually high fraction of their stars in bound clusters (e.g., Adamo et al., 2015; Krumholz et al., 2019).

The large predicted Hα\alpha fluxes compared to the observed values, particularly for SBS1 and Kiso 3867, raise the possibility that some of the expected LyC photons are being absorbed by dust or escaping the observed HII regions and diffuse Hα\alpha. Low metallicity galaxies like these typically have more LyC escape (Ramambason et al., 2022). Deeper images will be required to determine if escaping LyC is ionizing an extended halo around the galaxies, or is possibly escaping the galaxies altogether.

There are also systematic uncertainties in the LyC flux derivations. For the observations they include: a) uncertain continuum removal from the F657N filter to derive the Hα\alpha fluxes; b) dust reddening corrections for Hα\alpha; c) conversion of Hα\alpha flux to number of ionizing photons, and d) undetected Hα\alpha emission from possible heavy obscuration. There are also uncertainties in the SED estimates, such as: a) the star formation history; b) the IMF, especially the upper limit; c) the broad band photometry, which uses only three filters, and d) dust reddening corrections for each cluster SED.

7 Conclusions

Multiwavelength imaging of four tadpole galaxies with HST WFC3 and ACS reveal a pattern similar to that previously found for Kiso 5639. The three largest galaxies contain one or two giant stellar complexes with masses of 105M10^{5}\;M_{\odot} or more and ages of a few million years. The smallest galaxy, Kiso 3867, has a maximum complex mass of 5×104M\sim 5\times 10^{4}\;M_{\odot} and a similarly young age. There are typically smaller complexes nearby that are also young.

The complexes are accompanied by large populations of compact young star clusters. The mass distribution function for the combined clusters was determined by a double-normalization technique, which assumes only that the intrinsic function is a power law. In this technique, the cluster masses were first scaled as if all the galaxies were at the same distance. Then the cluster masses in five age bins were scaled a second time to make their distributions have the same lower mass cutoff from sensitivity limits. The composite mass function determined in this way was indeed a power law, confirming the initial assumption, and the slope on a log-log plot was 1.15±0.17-1.15\pm 0.17, similar to the expected value of 1-1 for hierarchical distributions. There were no significant deviations from this power law at high mass, i.e., no outliers with masses higher than the extrapolation of the function, and no suggestion of an upper mass cutoff.

The composite age distribution function was determined in a similar way, although there is no a priori reason for this to be a power law. Combining all masses between 102.5M10^{2.5}\;M_{\odot} and 105M10^{5}\;M_{\odot}, the result showed a slight increase in cluster counts with log (Age) tt, as t0.24±0.21t^{0.24\pm 0.21}, which corresponds to a loss of clusters over time as t0.76±0.21t^{-0.76\pm 0.21}.

The tadpole galaxies in our sample share the common feature of reduced metallicity in the most prominent star-forming complex as compared with its surroundings, as determined in previous papers. This suggests that recent accretion of low-metallicity gas triggered the main starburst (e.g., Sánchez Almeida et al., 2013). The gas could accrete in several ways. The off-center locations of the main complexes could be the result of tadpole motions relative to a surrounding lower-metallicity medium if the head is more compressed than the rest of the disk by ram pressure. Alternatively, the metal-poor gas could be accreted from a gaseous halo or cosmic filament with non-zero specific angular momentum. The quiescent kinematics of most tadpoles appears to rule out fueling from minor mergers. Aside from this accretion, these tadpole galaxies appear to be typical blue compact dwarfs.

The summed theoretical Lyman continuum (LyC) emission from the clusters is comparable to the LyC needed to excite the observed Hα\alpha, but the summed LyC emission including regions around the clusters is more than 20x larger. This excess LyC suggests a loss of LyC photons, which could be explained by dust absorption although these galaxies have low metallicities. Alternatively there could be additional Hα\alpha emission in a halo that we do not see, or some escape of LyC photons from the galaxy.

Acknowledgments:

The imaging data presented in this paper were obtained from the Mikulski Archive for Space Telescopes (MAST) at the Space Telescope Science Institute. The specific observations analyzed can be accessed via https://doi.org/10.17909/kjp2-sh47 (catalog 10.17909/kjp2-sh47). Based on observations with the NASA/ESA Hubble Space Telescope obtained at the Space Telescope Science Institute, which is operated by the Association of Universities for Research in Astronomy, Incorporated, under NASA contract NAS5-26555. Support for HST-GO-15860 was provided through a grant from NASA/STScI. JSA, CMT, and NC acknowledge support from the Spanish Ministry of Science and Innovation, project PID2019-107408GB-C43 (ESTALLIDOS), and from Gobierno de Canarias through EU FEDER funding, project PID2020010050. This research has made use of the NASA/IPAC Extragalactic Database (NED) which is operated by the Jet Propulsion Laboratory, California Institute of Technology, under contract with the National Aeronautics and Space Administration.

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