2023/06/16 by Ishfaq Ahmad Rather, Ishfaq A. Rather, Kauan D. Marquez +2 · 4 citations
Physics and Astronomy · Earth and Planetary Sciences · #Pulsars and Gravitational Waves Research #High-pressure geophysics and materials #Gamma-ray bursts and supernovae
paper · doi:10.1103/physrevd.107.123022
We investigate the effect of \mathrm\ensuremathΔ baryons on the radial oscillations of neutron and hyperon stars, employing a density-dependent relativistic mean-field model. The spin-3/2 baryons are described by the Rarita-Schwinger Lagrangian density. The baryon-meson coupling constants for the spin-3/2 decuplet and the spin-1/2 baryonic octet are calculated using a unified approach relying on the fact that the Yukawa couplings present in the Lagrangian density of the mean-field models must be invariant under the SU(3) and SU(6) group transformations. We calculate the 20 lowest eigenfrequencies and corresponding oscillation functions of \mathrm\ensuremathΔ-inclusive nuclear (N+\mathrm\ensuremathΔ) and hyperonic matter (N+H+\mathrm\ensuremathΔ) by solving the Sturm-Liouville boundary value problem and also verifying its validity. We see that the lowest mode frequencies for N+\mathrm\ensuremathΔ and N+H EoSs are higher as compared to the pure nucleonic matter because of the deltas and hyperons present. Furthermore, the separation between consecutive modes increases with the addition of hyperons and \mathrm\ensuremathΔs.