PREPRINT
AED84545-14C4-4FCC-8F5C-4BC46EC22C96

# The Star Formation-Gas Density Relation in Four Galactic GMCs: Effects of Stellar Feedback

John H. Bieging and Shuo Kong

Submitted on 9 September 2022

## Abstract

We present maps of 4 galactic giant molecular clouds (GMCs) in the J=2-1 emission of both CO and ${}^{13}$CO. We use an LTE analysis to derive maps of the CO excitation temperature and column density and the distribution of total molecular gas column density, ${\mathrm{\Sigma }}_{gas}$. The depletion of CO by freeze-out onto cold dust grains is accounted for by an approximation to the results of Lewis et al. (2021) which were derived from far-IR observations with {\it Herschel}. The surface density of young stellar objects (YSOs) is obtained from published catalogs. The mean YSO surface density exhibits a power-law dependence on ${\mathrm{\Sigma }}_{gas}$, with exponents in the range 0.9 to 1.9. Gas column density probability distribution functions (PDFs) show power-law tails extending to high column densities. The distributions of sonic Mach number, ${M}_{S}$ are sharply peaked at ${M}_{S}\sim 5-8$ for 3 GMCs; a fourth has a broad distribution up to ${M}_{S}=30$, possibly a result of feedback effects from multiple OB stars. An analysis following the methodology of Pokhrel et al. (2021) finds that our sample of GMCs shows power-law relations that are somewhat shallower than found by Pokhrel et al. (2021) for the star formation rate vs. $<{\mathrm{\Sigma }}_{gas}>$ and vs. $<{\mathrm{\Sigma }}_{gas}>/{t}_{ff}$ in a different sample of clouds. We discuss possible differences in the two samples of star-forming clouds and the effects of stellar feedback on the relation between gas density and star formation rate.

## Preprint

Comment: 15 figures, 3 tables, accepted by ApJ

Subject: Astrophysics - Astrophysics of Galaxies