Survey of Some Nuclear Properties Given by a Nonlocal Separable Nucleon-Nucleon Interaction

Abstract

We have determined a set of parameters for a nonlocal separable nucleon-nucleon interaction of the Mongan's case IV form. The $M-5\mathrm{}$ potential thus defined, even if it remains with a poor $D$-state percentage (1.4%), is shown to give a correct description of the saturation of infinite nuclear matter. It appears also that $M-5\mathrm{}$ gives a correct description of the following nuclear properties: two-nucleon elastic scattering phase shifts below 400 MeV (the phase shifts in the ${}_{}{}^3{}_{}{}^{}S_1^{}{}_{}{}^{}+{}_{}{}^3{}_{}{}^{}D_1^{}{}_{}{}^{}$ state are those given by the $M$-IV Mongan's potential, not better) deuteron binding energy and quadrupole moment, scattering length and effective-range low-energy parameters, triton binding energy in a coupled three-body treatment, saturation of infinite nuclear matter, and first-order binding energy of some spherical nuclei. We have compared the results obtained with $M-5\mathrm{}$ and a Tabakin force in a Hartree-Fock description of some even-even nuclei in the $2s-1d$-shell nuclei as previously done by Ford, Braley, and Bar-Touv.