Abstract
In this paper we have reported the study of symmetry energy within the self-consistent Green-function approach. For the sake of comparison. the same calculations are performed using Brueckner-Hartree-Fock approximation. The symmetry energy is calculated for different densities and discussed in comparison with other predictions. The self-consistent Green's function leads to slightly larger energies as compared to the Brueckner-Hartree-Fock approach. This effect increases with density and thereby leads to smaller symmetry energies. The calculation of the symmetry energy in the Brueckner-Hartree-Fock approach shows a monotonic increase as a function of baryonic density. We extract the symmetry energy coefficient at density rho = 0.16 fm(-3) to be about 28.3 MeV for self-consistent Green-function approach using CD-Bonn potential. which is in good agreement with the empirical value of 30 +/- 4 MeV. The dependence of the equation of state on the neutron excess parameter is clearly linear as function of alpha(2) for self-consistent Green-function approach.