The $g$-mode frequencies in cold neutron stars and nuclear saturation parameters

Hajime Sotani; Hajime Togashi

doi:10.1103/c4yl-hdkm

paper

The $g$ -mode frequencies in cold neutron stars and nuclear saturation parameters

arXiv:2608.02463 · doi:10.1103/c4yl-hdkm

Abstract

Oscillation frequencies excited in neutron stars are crucial for extracting their interior properties. In addition to the fundamental and pressure modes, the gravity ( $g$ -) modes can be excited even in zero-temperature stellar models due to the composition gradient. In this study, we systematically study the $g$ -mode frequencies, focusing on the nucleonic equation of state. Then, we can derive an empirical relation for the 1st $g$ -mode frequencies as a function of the stellar compactness and the combination of the nuclear saturation parameters, $η_{0} \equiv L / K_{0}$ , where $K_{0}$ and $L$ denote the incompressibility of symmetric nuclear matter and the density dependence of the nuclear symmetry energy, respectively. If an observed 1st $g$ -mode frequency significantly deviates from our empirical relation, it may indicate the emergence of additional degrees of freedom or new compositions inside the star.

The g-mode frequencies in cold neutron stars and nuclear saturation parameters

Abstract

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The $g$ -mode frequencies in cold neutron stars and nuclear saturation parameters