Semimicroscopic analysis of Li6 elastic scattering at 40 MeV/nucleon

Abstract

Analysis of the differential cross sections for $^{6}\mathrm{Li}$ elastic scattering from $^{24}\mathrm{Mg}$, $^{28}\mathrm{Si}$, $^{40}\mathrm{Ca}$, $^{48}\mathrm{Ca}$, $^{58}\mathrm{Ni}$, $^{90}\mathrm{Zr}$, and $^{116}\mathrm{Sn}$ at 40 MeV/nucleon is performed within the framework of the optical double folding model. Simple phenomenological effective nucleon-nucleon interaction represented by a density-independent single Yukawa term is utilized to generate the real optical potential part. The derived potentials in conjunction with imaginary parts expressed in phenomenological volume Woods-Saxon forms have been successfully used to reproduce the seven sets of data. For the sake of comparison, the same measurements are reanalyzed using folded potentials based upon the density-independent M3Y effective interaction. Furthermore, reasonably successful reproduction of the data is obtained by Woods-Saxon-type optical model potentials. The radial sensitivity of the derived real potentials to the calculating elastic-scattering angular distributions has been investigated using the notch perturbation technique. The target mass dependence in real and imaginary volume integrals as well as total reaction cross sections are also investigated.