Realistic two-nucleon potentials for the relativistic two-nucleon Schrodinger equation

The potentials V (v) in the nonrelativistic (relativistic) nucleon-nucleon (NN) Schrodinger equation are related by a quadratic equation. That equation is numerically solved, thus providing phase equivalent v-potentials related for instance to the high precision NN potentials, which are adjusted to NN phase shift and mixing parameters in a nonrelativistic Schrodinger equation. The relativistic NN potentials embedded in a three-nucleon (3N) system for total NN momenta different from zero are also constructed in a numerically precise manner. They enter into the relativistic interacting 3N mass operator, which is needed for relativistic 3N calculations for bound and scattering states. (C) 2007 Elsevier B.V. All rights reserved.