Velocity dependent OBEP and nucleon-nucleon scattering phase shift in the born approximation

Abstract

Relativistic OBEP containing important velocity dependent terms in the Schrödinger-Pauli limit are treated in the Born approximation. The N-N elastic scattering phase shifts are calculated and the results are compared with exact calculations of the phase shifts. It is found that the Born approximation can be relied upon for D and higher waves and gives reasonable trends for the P-waves. Two methods of treating the velocity dependence in the Born approximation are discussed. It is shown that direct Born approximation treatment of velocity-dependent potentials is valid when the effective mass method breaks down. Three different OBEP arising from different treatments of a vector meson field are studied in detail and are found to give similar results for D-waves and higher but differ significantly in the 1P 0 phase shift.