Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Uncertain Masses of Progenitors of Core Collapse Supernovae and
  Direct Collapse Black Holes   We show that it is not possible to determine the final mass $M_{\rm fin}$ of
a red supergiant (RSG) at the pre-supernova (SN) stage from its luminosity $L$
and effective temperature $T_{\rm eff}$ alone. Using a grid of stellar models,
we demonstrate that for a given value of $L$ and $T_{\rm eff}$, a RSG can have
a range of $M_{\rm fin}$ as wide as 3 to $45~\mathrm{M}_{\odot}$. While the
probability distribution within these limits is not flat, any individual
determination of $M_{\rm fin}$ for a RSG will be degenerate. This makes it
difficult to determine its evolutionary history and to map $M_{\rm fin}$ to an
initial mass. Single stars produce a narrower range that is difficult to
accurately determine without making strong assumptions about mass loss,
convection, and rotation. Binaries would produce a wider range of RSG $M_{\rm
fin}$. However, the final Helium core mass M$_{\rm He-core}$ is well determined
by the final luminosity and we find $\log (\mathrm{M}_{\rm He-core}/M_{\odot})
= 0.659 \log (L/\mathrm{L}_{\odot}) -2.630$ Using this relationship, we derive
M$_{\rm He-core}$ for directly imaged SN progenitors and one failed SN
candidate. The value of $M_{\rm fin}$ for stripped star progenitors of SNe IIb
is better constrained by $L$ and $T_{\rm eff}$ due to the dependence of $T_{\rm
eff}$ on the envelope mass $M_{\rm env}$ for $M_{\rm env} \lesssim
1~$M$_{\odot}$. Given the initial mass function, our results apply to the
majority of progenitors of core collapse SNe, failed SNe and direct collapse
black holes.

16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin