Strangeness and $\Delta$ resonance in compact stars with relativistic-mean-field models

Abstract

We explore the effects of strangeness and $\Delta$ resonance in baryonic matter and compact stars within the relativistic-mean-field (RMF) models. The covariant density functional PKDD is adopted for $N$-$N$ interaction, parameters fixed based on finite hypernuclei and neutron stars are taken for the hyperon-meson couplings, and the universal baryon-meson coupling scheme is adopted for the $\Delta$-meson couplings. In light of the recent observations of GW170817 with the dimensionless combined tidal deformability $197\le \bar{\Lambda }\le 720$, we find it is essential to include the $\Delta$ resonances in compact stars, and small $\Delta$-$\rho$ coupling $g_{\rho \Delta }$ is favored if the mass $2.27{}_{-0.15}^{+0.17}{M}_{\odot }$ of PSR J2215+5135 is confirmed.