Empirical formula of crustal torsional oscillations

TL;DR

This paper derives an empirical formula for crustal torsional oscillation frequencies in neutron stars, linking observable frequencies to stellar and nuclear parameters, aiding astrophysical and nuclear physics research.

Contribution

The paper introduces a new empirical formula that accurately relates crustal torsional oscillation frequencies to stellar mass, radius, symmetry energy slope, and angular index.

Findings

Empirical formula accurately estimates fundamental crustal torsional frequencies.

Frequency estimates depend on stellar mass, radius, and nuclear symmetry energy.

The formula is useful for astrophysics and nuclear physics applications.

Abstract

Crustal torsional oscillations depend on not only crust properties but also the stellar mass and radius. Thus, one could extract stellar information by identifying the observed frequencies of stellar oscillations with the crustal torsional oscillations. Owing to the confinement of torsional oscillations inside the crust region of neutron stars, we successfully derive an empirical formula for the fundamental crustal torsional oscillations as a function of the stellar mass, radius, the so-called slope parameter of the nuclear symmetry energy, and the angular index of oscillations, with which one can estimate the frequencies with high accuracy. This empirical formula could be valuable in both the astrophysics and nuclear physics communities.