Effects of Central and Density-dependent Terms of the Skyrme Interaction on Neutron Elastic Scattering Observables

In this paper, we analyze the role of central (t(0)) and density-dependent (t(3)) terms of the effective Skyrme interaction on the imaginary part of the optical potential, angular distributions, and analyzing powers of the low-energy neutron elastic scattering on a series of doubly closed shell nuclei in the framework of self-consistent mean-field approach and beyond. The central term is the leading term of the effective interaction, while the density-dependent term is well known to be an effective way to simulate the three-body interaction. To do it, the microscopic optical potential has been generated from the particle vibration coupling on top of the random-phase approximation collective states built from the particle-hole excitations on a mean-field calculation. It has been found that the contributions of (t(0), t(3)) terms are dominant on the surface and in the interior of the absorption part. The effects of t(0) term are the strongest among other terms. The obtained results show that, if the central and density-dependent terms are taken into account, the agreement on angular distributions is significantly improved, especially at the forward scattering angles. The two terms were also found to have strong yet unsystematic effects on analyzing power.