Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new parameterization of the star formation rate-dense gas mass
  relation: embracing gas density gradients   It is well-established that a gas density gradient inside molecular clouds
and clumps raises their star formation rate compared to what they would
experience from a gas reservoir of uniform density. This effect should be
observed in the relation between dense-gas mass $M_{dg}$ and star formation
rate $SFR$ of molecular clouds and clumps, with steeper gas density gradients
yielding higher $SFR/M_{dg}$ ratios. The content of this paper is two-fold.
Firstly, we build on the notion of magnification factor introduced by
Parmentier (2019) to redefine the dense-gas relation (i.e. the relation between
$M_{dg}$ and $SFR$). Not only does the $SFR/M_{dg}$ ratio depend on the mean
free-fall time of the gas and on its (intrinsic) star formation efficiency per
free-fall time, it also depends on the logarithmic slope $-p$ of the gas
density profile and on the relative extent of the constant-density region at
the clump center. Secondly, we show that nearby molecular clouds follow the
newly-defined dense-gas relation, provided that their dense-gas mass is defined
based on a volume density criterion. We also find the same trend for the dense
molecular clouds of the Central Molecular Zone (CMZ) of the Galaxy, although
this one is scaled down by a factor of $10$ compared to nearby clouds. The
respective locii of both nearby and CMZ clouds in the $(p, SFR/M_{dg})$
parameter space is discussed.

18
The categories of this paper are: econ
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex