$\eta B$ Interactions in the Strange Baryonic Matter

Abstract

We employ the chiral SU(3) model to study the $\eta B$ interactions in the strange baryonic matter. The in-medium scalar and vector densities of baryons are calculated which are later used in the interaction Lagrangian in the chiral model. Along with the strangeness effect, we also include the effect of medium density, $\rho _B$, and temperature, T. The medium modified mass and optical potential of $\eta$ meson are calculated from the $\eta B$ equations of motion. In this work, the effect of scattering length, $a^{\eta N}$ is also studied. We observe decrement in the in-medium mass of $\eta$-meson as a function of density, which may lead to the formation of a bound state between $\eta$ meson and nuclei.