Elastic scattering based on energy-dependent relativistic Love-Franey model at energies between 20 and 800 MeV*

Abstract

In order to investigate the elastic scattering, we fit scattering observables of the weighted fits (WF16) with relativistic Love-Franey (RLF) model. The masses, cutoff parameters and initial coupling strengths of RLF are assumed to be independent of energy. Since the energy boundary between low energy and high energy is around 200 MeV, the masses, cutoff parameters and initial coupling strengths of RLF are obtained by fitting scattering observables of WF16 at incident energy of 200 MeV. With the masses, cutoff parameters and initial coupling strengths as input, the energy-dependent RLF has been constructed over the laboratory energy range from 20 to 800 MeV within a unified fits. To examine the validity of this fit, we then investigate p+$^{208}\rm{Pb}$ elastic scattering for various energies. Although the scattering observables of pp and pn of 200 MeV best fit the values of WF16, the RLF of 200 MeV without the Pauli blocking (PB) corrections fails to describe the experimental differential cross sections, analyzing powers and spinrotation functions. When the PB corrections are taken into account for various energies, the RLF model can well describe the experimental data of p+$^{208}\rm{Pb}$ elastic scattering.