Sdss-Iv Manga: A Star Formation-Baryonic Mass Relation At Kiloparsec Scales

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