Analytical Solutions for VelocityDependent Nuclear Potentials
Abstract
The twonucleon potential, with the necessary invariance requirements, is assumed to be a quadratic function of momentum: v=V_{0}J_{1}(r) (λM) p.J_{2}(r)p, where J_{1}(r) and J_{2}(r) are two shortrange functions. For simplicity J_{2}(r) is assumed to be a square well of unit depth. The Schrödinger equation is solved (neglecting Coulomb forces) for three different choices of J_{1}(r). Numerical results for the phase shifts are given for these three potentials (v_{1}, v_{2}, and v_{3}) for the singlet S, D, and G states. Reasonably good fits are obtained.
 Publication:

Physical Review
 Pub Date:
 January 1962
 DOI:
 10.1103/PhysRev.125.269
 Bibcode:
 1962PhRv..125..269R