Microscopic Spin–Orbit Potential for Proton + ${}^{9}$Be Scattering

Abstract

The elastic scattering differential cross-section ($d\sigma/d\Omega$) and the vector analyzing power ($A_{y}$) are reanalyzed simultaneously for the $p+^{9}$Be system. This analysis was performed using microscopic optical model potential (OMP) based on the Jeukenne, Lejeune, and Mahaux (JLM) effective nucleon-nucleon ($NN$) interaction for the central parts. For the spin–orbit ($SO$) part, the Scheerbaum potential was used. For comparison, the Woods–Saxon (WS) phenomenological OMP is used for the central real and central imaginary parts, and Thomas form for $SO$-potential. The present calculations showed that the phenomenological potential reproduces the elastic scattering data for all the considered energies. The JLM microscopic potential gives satisfactory reproduction for all the considered data. Moreover, JLM-based microscopic potential successfully reproduces the $d\sigma/d\Omega$ and $A_{y}$ at energies above 6 MeV on equal footing with the phenomenological one. The potential parameters for phenomenological and microscopic OMPs show a systematic energy behavior above 6 MeV. Additionally, the renormalized data have a noticeable effect on the OMP parameters.