Study of Symmetric Nuclear Matter Properties in Non-linear Walecka Model via Relativistic Mean-field approximation at zero-temperature

Abstract

Symmetric nuclear matter at zero temperature were analysed. The equations of state (EOS) of symmetric nuclear matter were studied in the non-linear Walecka models at different parameterizations. At normal nucleon density, strong correlations were observed among the different parameter sets, however the linear Walecka model gives values of nucleon effective mass  and nuclear incompressibility ) at variance to the experimental values.The calculated values of saturation density ranges from 0.143 fm^-3 to 0.152 fm^-3 , nucleon effective mass 0.132 MeV to 0.157 MeV, binding energy per nucleon -16.01 MeV to -16.20 MeV, compression modulus 223.55 MeV to 271.36 MeV, and fermi-wavelength 1.30 fm^-1 to 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 iso-scalar monopole resonance data. These quantities are important for understanding the structure of finite nuclei and neutron stars. The quantities have substantially described equation of state of other dense matter in astrophysical contexts.