Microscopic optical model potentials for $p$-nucleus scattering at intermediate energies

A comparative study of the microscopic optical potentials viz., semimicroscopic with extended Jeukenne-Lejeune-Mahaux interaction and microscopic Brueckner theory using Hamada-Johnston as well as Urbana V14 soft-core internucleon interactions, has been carried out. These microscopic optical potentials are compared with that of Dirac phenomenology (DP) for the polarized proton-${}^{40}\mathrm{Ca}$ elastic scattering at 35 MeV and 200 MeV. These potentials have different shapes for 200 MeV below 4 fm. In particular, for the real part of the central potential, only the Dirac phenomenology and the microscopic optical potential calculated with the Hamada-Johnston interaction exhibit the well known wine-bottle-bottom shape. It is found that the calculated observables (cross section, analyzing power and spin rotation function) using these potentials having different shapes, compare well with the experiment.

Figure 1

MOM, HJ, V14, and DP potentials for $p\text{−}{}^{40}\mathrm{Ca}$ scattering evaluated at 35 MeV and 200 MeV (a) Real part of the central potential (b) Imaginary part of the central potential (c) Real part of the spin-orbit potential (d) Imaginary part of the spin-orbit potential.

Figure 2

Differential cross section and analyzing power for $p\text{−}{}^{40}\mathrm{Ca}$ at 35 MeV calculated using MOM, HJ, V14, and DP potentials. Data taken from Ref. [20].

Figure 3

Same as Fig. 2 but for 200 MeV. Data taken from Ref. [22].