Implications for galaxy property estimation revealed by CO luminosity-FWHM relations in local star-forming galaxies.

This study explores a relationship between the |$\rm {CO}$| luminosity-full width at half-maximum linewidth linear relation (i.e. the |$\rm {CO}$| LFR) and mean galaxy property of the local star-forming galaxy sample in the xCOLDGASS data base, via a mathematical statement. The whole data base galaxies were separated into two subsamples based on their stellar masses and redshifts, being a help to examine the dependence issue of the |$\rm {CO}$| LFR. Selecting the galaxy data with a stringent requirement was also implemented in order to assure the validly of the |$\rm {CO}$| LFR. An algorithm of the linear regression was conducted with the data of the subsample. An assessment about the linear correlation manifested a valid |$\rm {CO}$| LFR occurs in the selected galaxy of the subsample, and the intercept of the |$\rm {CO}$| LFR may be related with the mean galaxy properties such as the molecular gas fraction and galaxy size. For the finding on the intercept of the |$\rm {CO}$| LFR, we aligned that intercept with those galaxy properties via the involvement of a |$\psi$| parameter. On evaluating the |$\psi$| value with our local star-forming galaxy sample, we numerically determined a relationship between the statistical result and the galaxy property in a different stellar mass range. It also shows a possible method on estimating galaxy property. [ABSTRACT FROM AUTHOR]