Abstract

We study the asymmetric nuclear matter in a nonperturbative manner. The bulk nuclear matter studied by the consistent exchange of σ, ω and π mesons is used to investigate its stability. The equation of state (EOS) at zero temperature is considered to study the symmetry energy, curvature parameter of symmetry energy and asymmetry energy. The effect of the density dependence of the symmetry energy on instability property is investigated and analyzed using proton fraction in the nuclear matter. Here a microscopic density-dependent model of the nucleon-meson coupling is used to reexamine the instability of asymmetric nuclear matter.

Highlights

  • The characteristics of dense nuclear matter are very much interesting for particle physics, astrophysics, as well as nuclear physics [1]-[7]

  • The problem of dense nuclear matter has been a hot bed of investigations for the past few years and was looked by Walecka [12], and others [13] [14] known as the Non Linear Walecka Model (NLWM)

  • Ε x ψ and the effective Hamiltonian int ( x ) for pion nucleon π N interaction part [22] is given by int ( = x )

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Summary

Introduction

The characteristics of dense nuclear matter are very much interesting for particle physics, astrophysics, as well as nuclear physics [1]-[7]. The symmetry-energy, which describes the single nucleonic energy or nuclear matter changes as one, replaces protons with neutrons in the system It determines the birth of neutron stars and supernova neutrinos and plays the crucial role in the evolution of core collapse of supernovae. The problem of dense nuclear matter has been a hot bed of investigations for the past few years and was looked by Walecka [12], and others [13] [14] known as the Non Linear Walecka Model (NLWM) They consider the nucleon-neutral scalar field interactions with σ and ω in a nonperturbative method, treating these scalar fields as elementary.

Formalism
Stability Condition
Results and Discussions
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