Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Charged $\rho$-meson condensation in neutron stars   We extend relativistic mean-field models with hadron masses and meson-baryon
coupling constants dependent on the scalar field $\sigma$, including hyperons
and $\Delta(1232)$ baryons, to incorporate a possibility of the charged $\rho$
meson condensation in neutron star matter. The influence of the $\rho^-$
condensation on the equation of state proves to be strongly model dependent. In
our models of one type (KVORcut-based ones) the $\rho^-$ condensation arises by
a second-order phase transition above a critical density and the maximum value
of the neutron star mass diminishes only slightly. The matter composition
changes more significantly. In our models of other type (MKVOR*-based ones), if
the system is considered at fixed density, the $\rho^-$ condensation arises by
a second-order phase transition at the baryon density $n=n_{c,\rho}^{(\rm II)}$
and at a slightly higher density $n=n_{c,\rho}^{(\rm I)}$ there occurs a
first-order phase transition. In a neutron star matter starting with a density
$n<n_{c,\rho}^{(\rm II)}$ there appears a region of a mixed phase, or the
system is described by Maxwell construction, that results in a substantial
decrease of the value of the maximum neutron star mass. Nevertheless in the
models under consideration the observational constraint on the maximum neutron
star mass is fulfilled. Besides, in MKVOR*-based models the appearance of the
$\rho^-$ condensate is accompanied by a strong rearrangement of the matter
composition. Dependence of the results on a choice of the $\rho$ meson scaling
functions for the effective $\rho$ meson mass and coupling constants is also
investigated.

19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga