EXACT CALCULATION OF THE DIRECT PART OF THE NUCLEON–NUCLEUS SPIN-ORBIT POTENTIAL IN BRUECKNER THEORY

Abstract

We have shown that the commonly used series expansion given by Greenlees et al. and Scheerbaum for calculating the spin-orbit potential is not rapidly convergent and that exact calculation of the dominant direct part can be easily done. Our exact calculation of the microscopic optical potential for the scattering of protons from 40 Ca and 208 Pb at 65 MeV and 200 MeV shows that the direct part is substantially different from the results using series expansion. Our results show that the spin-orbit potential affects the cross-section even at intermediate angles specially at high energies. The results presented here have direct application for calculating spin-orbit potential of all strongly interacting Fermionic probes.