Predicting HCN, HCO$^+$, multi-transition CO, and dust emission of star-forming galaxies -- Extension to luminous infrared galaxies and the role of cosmic ray ionization

Abstract: The specific star-formation rate of star-forming `main sequence' galaxies significantly decreased since z~1.5, due to the decreasing molecular gas fraction and star formation efficiency. However, the radio-infrared (IR) correlation has not changed significantly since z~1.5. The theory of turbulent clumpy starforming gas disks together with the scaling relations of the interstellar medium describes the large and small-scale properties of galactic gas disks. Here we extend our previous work on infrared, multi-transition molecular line, and radio continuum emission of local and high-z starforming and starburst galaxies to local and z~0.5 luminous infrared galaxies. The model reproduces the IR luminosities, CO, HCN, and HCO+ line luminosities, and the CO spectral line energy distributions of these galaxies. We derive CO(1-0) and HCN(1-0) conversion factors for all galaxy samples. The relation between the star formation rate per unit area and H2 surface density cannot be fit simply for all redshifts. There is a tight correlation between the star formation efficiency and the product of the gas turbulent velocity dispersion and the angular velocity of the galaxies. Galaxies of lower stellar masses can in principle compensate their gas consumption via star formation by radial viscous gas accretion. The limiting stellar mass increases with redshift. Whereas the radio continuum emission is directly proportional to the density of cosmic ray (CR) electrons, the molecular line emission depends on the CR ionization rate via the gas chemistry. The normalization of the CR ionization rate found for the different galaxy samples is about a factor of three to five higher than the normalization for the Solar neighborhood. This means that the mean yield of low energy CR particles for a given star formation rate per unit area is about three to ten times higher in external galaxies than observed by Voyager I.