Nuclear symmetry energy in a modified quark meson coupling model

Abstract

We study nuclear symmetry energy and the thermodynamic instabilities of asymmetric nuclear matter in a self-consistent manner by using a modified quark-meson coupling model where the confining interaction for quarks inside a nucleon is represented by a phenomenologically averaged potential in an equally mixed scalar-vector harmonic form. The nucleon-nucleon interaction in nuclear matter is then realized by introducing additional quark couplings to $\sigma$, $\omega$, and $\rho$ mesons through mean-field approximations. We find an analytic expression for the symmetry energy ${\mathcal{E}}_{sym}$ as a function of its slope $L$. Our result establishes a linear correlation between $L$ and ${\mathcal{E}}_{sym}$. We also analyze the constraint on neutron star radii in $(pn)$ matter with $\beta$ equilibrium.

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• The Role of Baryon Structure in Neutron Stars
• Quark mean-field model for nuclear matter with or without bag
• Pasta phases within the QMC model
• Nucleon radius effects on neutron stars in quark mean field model
• Equation of state of nuclear matter and neutron stars: Quark mean-field model versus relativistic mean-field model
• Quark mean field model with pion and gluon corrections for $\Lambda ,{\Xi }^0$ hypernuclei and neutron stars
• The quark mean field model with pion and gluon corrections
• Single ${\Lambda }_c^{+}$ hypernuclei within quark mean-field model
• Density-dependent quark mean-field model for nuclear matter and neutron stars
• Neutron stars with Bogoliubov quark-meson coupling model