Eikonal phenomenology in the analysis of α–nucleus elastic-scattering data

Abstract

Working within the framework of the Coulomb-modified Glauber model, we instead of conventionally using the Gaussian approximation to the basic input nucleon–nucleon (NN) amplitude, evaluate it from a three-parameter phenomenological NN phase shift function. At a given projectile energy the parameters of the NN phase shift function are varied to fit the α–nucleus elastic-scattering data. It is found that once the parameters of the NN phase shift function are fixed, it very nicely reproduces the available elastic α–scattering data on other nuclei at the same energy. By applying this procedure, a reasonably good account of elastic-scattering data for α–40–48Ca,58Ni,116Sn and 208Pb have been achieved in the energy range about 0.2 GeV–1.37 GeV.