The Global Star Formation Laws of Galaxies from a Radio Continuum Perspective
Lijie Liu, Yu Gao, Thomas R. Greve

TL;DR
This study investigates the relationship between gas content and star formation rates in 181 local galaxies using radio continuum data, revealing a tight correlation with dense molecular gas and varying relations depending on gas tracers and conversion factors.
Contribution
It provides a comprehensive analysis of the global star formation law across diverse galaxy types using radio continuum and molecular gas data, highlighting the importance of dense gas and the impact of conversion factors.
Findings
Dense molecular gas (HCN) correlates linearly with SFRs.
The molecular gas-SFR relation depends on the alpha_CO value.
SFRs have a steeper relation with total gas than with molecular gas.
Abstract
We study the global SF law - the relation between gas and SFRs in a sample of 181 local galaxies with L_IR spanning almost five orders of magnitude, which includes 115 normal galaxies and 66 (U)LIRGs. We derive their atomic, molecular gas and dense molecular gas masses using newly available HI, CO and HCN data from the literature, and SFRs are determined both from total IR and 1.4 GHz radio continuum (RC) luminosities. In order to derive the disk-averaged surface densities of gas and SFRs, we have used high-resolution RC observations to measure the radio sizes for all galaxies. We find that dense molecular gas (as traced by HCN) has the tightest correlation with that of SFRs, and is linear in (N=1.01 +/- 0.02) across the full galaxy sample. The correlation between densities of molecular gas (traced by CO) and SFRs is sensitive to the adopted value of the alpha_CO used to infer molecular…
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