NN Potentials with Explicit Momentum Dependence Obtained from Generalized Darboux Transformations

Abstract

Using recently developed inversion techniques based on generalized Darboux transformations we constructed, in uncoupled channels, momentum dependent potentials having a momentum independent term and one term linear in the square of the momentum. Varying the momentum dependent term of these potentials we created via inversion sets of potentials that are phase equivalent up to at least 2 GeV to the commonly used Nijmegen and Paris nucleon-nucleon potentials. These sets of potentials offer us the possibility to study the sensitivity of the triton binding energy on the momentum dependence of the NN-force.