Nuclear matter properties in the non-linear Walecka model via a relativistic mean field approximation at zero temperature

Abstract

The properties of symmetric nuclear matter at zero temperature were considered. The equations of state (EOS) of nuclear matter were studied in the non-linear Walecka models at different parameterization. At normal nucleon density, there is strong correlation among the different parameter sets, however the linear Walecka model gives values of nucleon effective mass M₀^*  and nuclear incompressibility (K) at variance to the experimental values.The calculated values of saturation density ranges from (0.143-0.152) fm^-3 , nucleon effective mass (0.132-0.157) MeV, binding energy per nucleon (-16.01 to -16.20) MeV, compression modulus (223.55-271.36) MeV, and fermi-wavelength (1.30-1.31) fm^-1 for the non- linear Walecka model (NLWM). The results of the numerical computations were compared with the empirical analysis of the giant isoscalar monopole resonance data. These quantities are important for understanding the structure of finite nuclei, neutron stars and equation of state of other dense matter in astrophysical contexts.