Isospin dependence of nuclear level density of 28Al considering symmetry energy and pairing corrections

Abstract

In this study, the single-particle level densities are calculated by using the isospin dependent nuclear level density (NLD) formula. The calculations are performed using the experimental data for 28Al achieved from 27 Al(n, γ)28Al resonances. Considering the symmetry energy and parity corrections, the NLDs at the excitation energy, E=20MeV are calculated and the maximum possible isospin in the range from ground state up to this excitation energy is estimated. The first correction led to reduced level densities and the later resulted in decreased densities for some of the levels while increased densities for the others. It is observed that the maximum level density occurs for T=1 and at low energies for which the experimental data are available there is a good agreement between calculated and experimental data.