SDSS-IV MANGA: A Star Formation -- Baryonic Mass Relation at Kpc Scales

Abstract

Star formation rate density, ${\Sigma }_{\mathrm{SFR}}$, has shown a remarkable correlation with both components of the baryonic mass at kpc scales (i.e., the stellar mass density, and the molecular gas mass density; ${\Sigma }_{\ast }$, and ${\Sigma }_{\mathrm{mol}}$, respectively) for galaxies in the nearby Universe. In this study we propose an empirical relation between ${\Sigma }_{\mathrm{SFR}}$ and the baryonic mass surface density (${\Sigma }_{\mathrm{b}}$ =${\Sigma }_{\mathrm{mol},\mathrm{Av}}$ + ${\Sigma }_{\ast }$; where ${\Sigma }_{\mathrm{mol},\mathrm{Av}}$ is the molecular gas density derived from the optical extinction, Av) at kpc scales using the spatially-resolved properties of the MaNGA survey - the largest sample of galaxies observed via Integral Field Spectroscopy (IFS, $\sim$ 8400 objects). We find that ${\Sigma }_{\mathrm{SFR}}$ tightly correlates with ${\Sigma }_{\mathrm{b}}$. Furthermore, we derive an empirical relation between the ${\Sigma }_{\mathrm{SFR}}$ and a second degree polynomial of ${\Sigma }_{\mathrm{b}}$ yielding a one-to-one relation between these two observables. Both, ${\Sigma }_{\mathrm{b}}$ and its polynomial form show a stronger correlation and smaller scatter with respect to ${\Sigma }_{\mathrm{SFR}}$ than the relations derived using the individual components of ${\Sigma }_{\mathrm{b}}$. Our results suggest that indeed these three parameters are physically correlated, suggesting a scenario in which the two components of the baryonic mass regulate the star-formation activity at kpc scales.

10 pages, 6 Figures, accepted for publication in ApJ

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