Spatially-Resolved Star Formation Main Sequence of Galaxies in the CALIFA Survey

The "main sequence of galaxies" $-$ defined in terms of the total star formation rate $\psi$ vs. the total stellar mass $M_*$ $-$ is a well-studied tight relation that has been observed at several wavelengths and at different redshifts. All earlier studies have derived this relation from integrated properties of galaxies. We recover the same relation from an analysis of spatially-resolved properties, with integral field spectroscopic (IFS) observations of 306 galaxies from the CALIFA survey. We consider the SFR surface density in units of log(M$_{\odot}$ yr$^{-1}$ Kpc$^{-2}$) and the stellar mass surface density in units of log(M$_{\odot}$ Kpc$^{-2}$) in individual spaxels which probe spatial scales of 0.5-1.5 Kpc. This local relation exhibits a high degree of correlation with small scatter ($\sigma = 0.23$ dex), irrespective of the dominant ionisation source of the host galaxy or its integrated stellar mass. We highlight: $(i)$ the integrated star formation main sequence formed by galaxies whose dominant ionisation process is related to star formation, for which we find a slope of 0.81 $\pm 0.02$; (ii) the spatially-resolved relation obtained with the spaxel analysis, we find a slope of 0.72 $\pm 0.04$; (iii) for the integrated main sequence we identified also a sequence formed by galaxies that are dominated by an old stellar population, which we have called the retired galaxies sequence.