Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bayesian inference of dense matter EOS encapsulating a first-order
  hadron-quark phase transition from observables of canonical neutron stars   [Purpose:] We infer the posterior probability distribution functions (PDFs)
and correlations of nine parameters characterizing the EOS of dense
neutron-rich matter encapsulating a first-order hadron-quark phase transition
from the radius data of canonical NSs reported by LIGO/VIRGO, NICER and Chandra
Collaborations. We also infer the quark matter (QM) mass fraction and its
radius in a 1.4 M$_{\odot}$ NS and predict their values in more massive NSs.
[Method:] Meta-modelings are used to generate both hadronic and QM EOSs in the
Markov-Chain Monte Carlo sampling process within the Bayesian statistical
framework. An explicitly isospin-dependent parametric EOS for the $npe\mu$
matter in NSs at $\beta$ equilibrium is connected through the Maxwell
construction to the QM EOS described by the constant speed of sound (CSS) model
of Alford, Han and Prakash. [Results:] (1) The most probable values of the
hadron-quark transition density $\rho_t/\rho_0$ and the relative energy density
jump there $\De\ep/\ep_t$ are $\rho_t/\rho_0=1.6^{+1.2}_{-0.4}$ and
$\De\ep/\ep_t=0.4^{+0.20}_{-0.15}$ at 68\% confidence level, respectively. The
corresponding probability distribution of QM fraction in a 1.4 M$_{\odot}$ NS
peaks around 0.9 in a 10 km sphere. Strongly correlated to the PDFs of $\rho_t$
and $\De\ep/\ep_t$, the PDF of the QM speed of sound squared $\cQMsq/c^2$ peaks
at $0.95^{+0.05}_{-0.35}$, and the total probability of being less than 1/3 is
very small. (2) The correlations between PDFs of hadronic and QM EOS parameters
are very weak. [Conclusions:] The available astrophysical data considered
together with all known EOS constraints from theories and terrestrial nuclear
experiments prefer the formation of a large volume of QM even in canonical NSs.

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The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th