A mean field calculation is carried out to obtain the equation of state (EoS)of nuclear matter from a density dependent M3Y interaction (DDM3Y). The energyper nucleon is minimized to obtain ground state of the symmetric nuclear matter(SNM). The constants of density dependence of the effective interaction areobtained by reproducing the saturation energy per nucleon and the saturationdensity of SNM. The energy variation of the exchange potential is treatedproperly in the negative energy domain of nuclear matter. The EoS of SNM, thusobtained, is not only free from the superluminosity problem but also providesexcellent estimate of nuclear incompressibility. The EoS of asymmetric nuclearmatter is calculated by adding to the isoscalar part, the isovector componentof M3Y interaction. The SNM and pure neutron matter EoS are used to calculatethe nuclear symmetry energy which is found to be consistent with that extractedfrom the isospin diffusion in heavy-ion collisions at intermediate energies.The $\beta$ equilibrium proton fraction calculated from the symmetry energy andrelated theoretical findings are consistent with the constraints derived fromthe observations on compact stars.
展开▼
