Consistent microscopic and macroscopic analyses of the composite particle optical potential

Abstract

The optical model potential has been obtained for mass-3 projectiles (³H and ³He) for a range of target nuclei using three different approaches. The potentials along with the cross-section fits are presented. A microscopic calculation of the composite particle optical potential has been performed by folding a realistic nucleon-triton (or helion) interaction into the density distribution of the targets. Optical potentials for ³H and ³He have also been studied starting from nucleon-nucleus optical potentials known a priori. The second-order potentials extracted from these two methods have been compared. The equivalent sharp radii of the real potentials of first set of calculations were consistently lower than the second set. This indicates the need for a saturating term in the nucleon-triton interaction. In the present work, saturation has been introduced through a density-dependent multiplicative factor to the n-t interaction. A phenomenological analysis also has been carried out for t-elastic scattering at 20 MeV off a wide range of targets with the real well depth V₀ lying around 125 MeV, which is considered to be the most physical range for V₀.