Nucleus-acoustic solitons in self-gravitating magnetized quantum plasmas

TL;DR

This paper investigates nucleus-acoustic solitary waves in dense, self-gravitating, magnetized quantum plasmas, revealing how electron degeneracy and magnetic obliqueness influence wave properties, with implications for understanding neutron star physics.

Contribution

It derives a KdV equation for nucleus-acoustic waves in a quantum plasma considering gravity, magnetization, and electron degeneracy, highlighting their effects on wave characteristics.

Findings

Electron degeneracy pressure affects wave amplitude and width.

Magnetic obliqueness significantly alters wave speed.

Results help explain phenomena in neutron star environments.

Abstract

The basic properties of the nucleus-acoustic (NA) solitary waves (SWs) are investigated in a super-dense self-gravitating magnetized quantum plasma (SDSGMQP) system in the presence of an external magnetic field, whose constituents are the non-degenerate light (heavy) nuclei, and non/ultra-relativistically degenerate electrons. The Korteweg-de Vries (KdV) equation has been derived by employing the reductive perturbation method. The NA SWs are formed with negative (positive) electrostatic (self-gravitational) potential. It is also observed that the effects of non/ultra-relativistically degenerate electron pressure, and the obliqueness of the external magnetic field significantly change the basic properties (e.g. amplitude, width, and speed) of NA SWs. The findings of our present analysis can be very helpful to explain the physics behind the formation of the NA SWs in astrophysical compact objects, specially neutron stars, which are briefly discussed.