Hyperon stars in a modified quark meson coupling model

We determine the equation of state (EOS) of nuclear matter with the inclusion of hyperons in a self-consistent manner by using a modified quark meson coupling model where the confining interaction for quarks inside a baryon is represented by a phenomenological average potential in an equally mixed scalar-vector harmonic form. The hadron-hadron interaction in nuclear matter is then realized by introducing additional quark couplings to $\ensuremath{\sigma},\phantom{\rule{0.16em}{0ex}}\ensuremath{\omega}$, and $\ensuremath{\rho}$ mesons through mean-field approximations. The effect of a nonlinear $\ensuremath{\omega}\text{\ensuremath{-}}\ensuremath{\rho}$ term on the EOS is studied. The hyperon couplings are fixed from the optical potential values and the mass-radius curve is determined satisfying the maximum mass constraint of $2\phantom{\rule{4pt}{0ex}}{\mathrm{M}}_{\ensuremath{\bigodot}}$ for neutron stars, as determined in recent measurements of the pulsar PSR J0348+0432. We also observe that there is no significant advantage of introducing the nonlinear $\ensuremath{\omega}\text{\ensuremath{-}}\ensuremath{\rho}$ term in the context of obtaining the star mass constraint in the present set of parametrizations.