http://arxiv.org/abs/2303.11006
We investigate the effect of $\Delta$ baryons on the radial oscillations of neutron and hyperon stars, employing the 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 $\Delta$-admixtured nuclear (N$\Delta$) and hyperonic matter (NH$\Delta$) by solving the Sturm-Liouville boundary value problem and also verifying its validity. We see that the lowest mode frequencies for N+$\Delta$ and N+H EoSs are higher as compared to the pure nucleonic matter because of the delta and hyperonic admixtures. Furthermore, the separation between consecutive modes increases with the addition of hyperons and $\Delta$s.
I. Rather, K. Marquez, G. Panotopoulos, et. al.
Tue, 21 Mar 23
62/68
Comments: 11 pages, 8 figures, 3 tables, will be submitted to the journal in few days to allow for the comments