An effective nucleon-nucleon potential for use in nuclear Hartree-Fock calculations

An effective nucleon-nucleon potential for use in nuclear Hartree-Fock calculations has been constructed from a central potential, a velocity-dependent repulsive potential and tensor and spin-orbit potentials. The principal aim of this work was to determine an effective potential having no “hard-core” singularity, giving the correct energy and density of nuclear matter, and fitting the two-body scattering data as well as possible, consistent with good estimates of nuclear matter properties. An additional requirement was that the second-order contribution to the energy of nuclear matter be small in order to improve the convergence of the perturbation expansion. The results presented in this paper include the parameters determining a family of potentials, the calculated two-body phase shifts, scattering lengths and effective ranges, the quadrupole moment and percentage of the D-state in the deuteron and a calculated effective single-particle potential.