Calibration of nuclear matter parameters in an eective chiral model

Introduction Recently, there have been some efforts to generate new parameters of the model [1] to extend its applicability to nuclear matter studies. With similar motivation, here we evaluate the parameters of an effective sigma model [2] and analyze the equation of state so obtained. This shall enable us to study and correlate some fundamental properties of matter such as nucleon effective mass and nuclear incompressibility, both of which are not precisely known. Nuclear equation of state is the primary input that goes in the determination of the structural properties of the neutron star, such as the mass and the radius. The extreme of densities prevailing in the core of these stars render stable exotics in the form of hyperons and quarks, the composition and concentration of which are EoS dependant. In the present work, we look into these aspects and analyze the correlations between properties such as nucleon effective mass (m), the nuclear incompressibility (K), and the resulting equation of state of dense matter.