Herschel Exploitation of Local Galaxy Andromeda (HELGA) III: The Star Formation Law in M31
George P. Ford, Walter K. Gear, Matthew W. L. Smith, Steve A. Eales,, Maarten Baes, George J. Bendo, Mederic Boquien, Alessandro Boselli, Asantha, R. Cooray, Ilse De Looze, Jacopo Fritz, Gianfranco Gentile, Haley L. Gomez,, Karl D. Gordon, Jason Kirk, Vianney Lebouteiller

TL;DR
This study analyzes the star formation law in M31 at ~140pc scales, revealing a sublinear relationship between star formation rate and molecular gas, with variations across the galaxy's disk.
Contribution
It provides the first detailed measurement of the star formation law in M31 at high spatial resolution, showing a sublinear index and radial variation.
Findings
Global SFR of 0.25±0.05 Msun/yr in M31
Star formation law index N~0.6 for H2 regions
Variation of the star formation law index with radius
Abstract
We present a detailed study of how the Star Formation Rate (SFR) relates to the interstellar medium (ISM) of M31 at ~140pc scales. The SFR is calculated using the far-ultraviolet and 24um emission, corrected for the old stellar population in M31. We find a global value for the SFR of 0.25+/-0.05Msun/yr and compare this with the SFR found using the total far-infrared (FIR) luminosity. There is general agreement in regions where young stars dominate the dust heating. Atomic hydrogen (HI) and molecular gas (traced by carbon monoxide, CO) or the dust mass is used to trace the total gas in the ISM. We show that the global surface densities of SFR and gas mass place M31 amongst a set of low-SFR galaxies in the plot of Kennicutt (1998b). The relationship between SFR and gas surface density is tested in six radial annuli across M31, assuming a power law relationship with index, N. The star…
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