Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Neutron star structure and collective excitations of finite nuclei   We study relationships between properties of collective excitations in finite
nuclei and the phase transition density $n_t$ and pressure $P_t$ at the inner
edge separating the liquid core and the solid crust of a neutron star. A
theoretical framework that includes the thermodynamic method, relativistic
nuclear energy density functionals and the quasiparticle random-phase
approximation is employed in a self-consistent calculation of $(n_t,P_t)$ and
collective excitations in nuclei. The covariance analysis shows that properties
of charge-exchange dipole transitions, isovector giant dipole and quadrupole
resonances and pygmy dipole transitions are correlated with the core-crust
transition density and pressure. A set of relativistic nuclear energy density
functionals, characterized by systematic variation of the density dependence of
the symmetry energy of nuclear matter, is used to constrain possible values for
$(n_t,P_t)$. By comparing the calculated excitation energies of giant
resonances, energy weighted pygmy dipole strength, and dipole polarizability
with available data, we obtain the weighted average values: $n_t = 0.0955 \pm
0.0007$ fm$^{-3}$ and $P_t = 0.59 \pm 0.05$ MeV fm$^{-3}$.

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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
3
The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: cs
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The categories of this paper are: hep-ex