The ground state binding energy of the closed shell nuclei with the density dependent Av18 effective interaction in LOCV method

Abstract

This work presents the calculation of the ground state binding energy of some light closed shell nuclei such as 4He, 12C, 16O, 28Si, 32S, 40Ca and 56Ni. We use our channel-dependent effective two-body interactions data that are produced through the lowest order constrained variational (LOCV) method for asymmetric nuclear matter with the charge-dependent Av18 bare NN potential up to Jmax = 2 and Jmax = 5. The local density approximation approach in the harmonic oscillator basis and Brody-Moshinsky coefficients are used to produce the relative and center of mass dependent effective two-body potentials. We show that the ground state energies of the closed shell nuclei with Av18 (Jmax = 2) gives more binding with respect to Reid68 bare NN potential as well as Δ – Reid68. However, there is not much difference between the Av18 (Jmax = 5) and Reid68Day which has been defined up to Jmax=5. We conclude that the contributions of higher partial waves (J > 2) are not very important and two-body kinetic energy in J=1 channel is twice as that of J=0 which is not the case for the two-body potential energy. Finally, our work results are compared with other theoretical approaches and experimental data.