Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Predicting Stellar-Mass Black Hole Populations in Globular Clusters   Recent discoveries of black hole (BH) candidates in Galactic and
extragalactic globular clusters (GCs) have ignited interest in understanding
how BHs dynamically evolve in a GC and the number of BHs ($N_{\rm{BH}}$) that
may still be retained by today's GCs. Numerical models show that even if
stellar-mass BHs are retained in today's GCs, they are typically in
configurations that are not directly detectable. We show that a suitably
defined measure of mass segregation ($\Delta$) between, e.g., giants and
low-mass main-sequence stars, can be an effective probe to indirectly estimate
$N_{\rm{BH}}$ in a GC aided by calibrations from numerical models. Using
numerical models including all relevant physics we first show that
$N_{\rm{BH}}$ is strongly anticorrelated with $\Delta$ between giant stars and
low-mass main-sequence stars. We apply the distributions of $\Delta$ vs
$N_{\rm{BH}}$ obtained from models to three Milky Way GCs to predict the
$N_{\rm{BH}}$ retained by them at present. We calculate $\Delta$ using the
publicly available ACS survey data for 47 Tuc, M 10, and M 22, all with
identified stellar-mass BH candidates. Using these measured $\Delta$ and
distributions of $\Delta$ vs $N_{\rm{BH}}$ from models as calibration we
predict distributions for $N_{\rm{BH}}$ expected to be retained in these GCs.
For 47 Tuc, M 10, and M 22 our predicted distributions peak at
$N_{\rm{BH}}\approx20$, $24$, and $50$, whereas, within the $2\sigma$
confidence level, $N_{\rm{BH}}$ can be up to $\sim150$, $50$, and $200$,
respectively.

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The categories of this paper are: physics
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The categories of this paper are: cs
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: solv-int