A Comprehensive Nuclear Matter Study in The Range of Normal to Matter Under Extreme Conditions Using Finite Range Effective Interactions

Abstract

Accurate knowledge of the equation of state of neutron-rich nuclear matter is essential to understand different aspects of finite nuclei and neutron stars. An important ingredient in the equation of state of asymmetric nuclear matter is the nuclear symmetry energy. The density dependence of nuclear symmetry energy at saturation is more or less known to certain extent. However, at a density away from saturation, the behaviour of nuclear symmetry is largely unknown. The density dependence of nuclear symmetry energy can be understood through different parameters such as the density slope and the curvature of nuclear sym metry energy at saturation. In the present thesis, we have analysed the equation of state of neutron-rich nuclear system and tried to understand the density de pendence of nuclear symmetry energy at the density regions relevant to finite nuclei as well as neutron stars. Within the framework of non-relativistic mean field theory, we have used a finite range effective interaction dubbed as SEI to construct some nuclear equa tions of state. The parameters of the effective interactions are constrained in a novel manner. Besides reproducing the normal nuclear matter properties, the interaction parameters are constrained to obtain an acceptable value of the nu clear symmetry energy at saturation density and#961;0, sub-saturation density and#961;c = 0.11 fmand#8722;3 and at a supra-saturation density and#961; = 2and#961;0 so that the constructed EoSs can be used for a wider range of nuclear density. Different parameters of the nuclear symmetry energy are then correlated and compared with standard re iii sults available in literature. In order to test, whether, the constructed EoSs are able to provide reasonable estimates of the symmetry energy coefficient asym(A) in finite nuclei, we have studied the mass dependence of the quantity asym(A) and extracted the surface symmetry energy coefficients from its leptodermous expansion. We emphasized upon the importance of the density slope parameter and the curvature parameter of nuclear symmetry energy