Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Divergence of the isospin-asymmetry expansion of the nuclear equation of
  state in many-body perturbation theory   The isospin-asymmetry dependence of the nuclear matter equation of state
obtained from microscopic chiral two- and three-body interactions in
second-order many-body perturbation theory is examined in detail. The
quadratic, quartic and sextic coefficients in the Maclaurin expansion of the
free energy per particle of infinite homogeneous nuclear matter with respect to
the isospin asymmetry are extracted numerically using finite differences, and
the resulting polynomial isospin-asymmetry parametrizations are compared to the
full isospin-asymmetry dependence of the free energy. It is found that in the
low-temperature and high-density regime where the radius of convergence of the
expansion is generically zero, the inclusion of higher-order terms beyond the
leading quadratic approximation leads overall to a significantly poorer
description of the isospin-asymmetry dependence. In contrast, at high
temperatures and densities well below nuclear saturation density, the
interaction contributions to the higher-order coefficients are negligible and
the deviations from the quadratic approximation are predominantly from the
noninteracting term in the many-body perturbation series. Furthermore, we
extract the leading logarithmic term in the isospin-asymmetry expansion of the
equation of state at zero temperature from the analysis of linear combinations
of finite differences. It is shown that the logarithmic term leads to a
considerably improved description of the isospin-asymmetry dependence at zero
temperature.

21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas