The Star Formation Rate and Dense Molecular Gas in Galaxies

(abridged) HCN luminosity Lhcn is a tracer of DENSE molecular gas, n(H_2) >~ 3x10^4 cm^{-3}, associated with star-forming giant molecular cloud (GMC) cores. We present the results and analysis of our survey of HCN emission from 65 infrared galaxies including 9 ultraluminous infrared galaxies (ULIGs, Lir>10^{12}Lsun), 22 luminous infrared galaxies (LIGs, 10^{11}<Lir<~10^{12}Lsun) and 34 normal spiral galaxies with lower IR luminosity (most are large spiral galaxies). We have measured the global HCN line luminosity and the observations are reported in Gao and Solomon (2003, Paper I). This paper analyzes the relationships between the total far-IR luminosity a tracer of the star formation rate, the…