Heavy nucleus-acoustic spherical solitons in self-gravitating super-dense plasmas

Abstract

Heavy nucleus-acoustic (HNA) spherical solitons (SSs) associated with HNA waves (in which the inertia is provided by the heavy and light nuclear species, and restoring force is provided by the degenerate pressure of electron species) in self-gravitating degenerate (super-dense) quantum plasmas have been theoretically investigated. The reductive perturbation method has been employed to derive a modified Korteweg-de Vries equation. The new basic features (e.g., polarity, amplitude, width, etc.) of the HNA SSs (associated with electrostatic and self-gravitational potentials) are identified, and are found to be significantly modified by the effects of ultra-relativistically degenerate electron pressure, dynamics of non-degenerate light and heavy nuclear species, self-gravitational field, and spherical geometry. It is found that depending on the plasma parameters, the HNA SSs with either positive (negative) or negative (positive) electrostatic (self-gravitational) potential exist in such realistic astrophysical plasma systems. The applications of our results in some astrophysical compact objects (containing heavy and light nuclear species, and degenerate electron species) are briefly discussed.