Lorentz boosted NN potential for few-body systems:: Application to the three-nucleon bound state -: art. no. 044010

A Lorentz boosted two-nucleon potential is introduced in the context of equal time relativistic quantum mechanics. The dynamical input for the boosted nucleon-nucleon (NN) potential is based on realistic NN potentials, which by a suitable scaling of the momenta are transformed into NN potentials belonging to a relativistic two-nucleon Schrodinger equation in the c.m. system. This resulting Lorentz boosted potential is consistent with a previously introduced boosted two-body t matrix. It is applied in relativistic Faddeev equations for the three-nucleon bound state to calculate the H-3 binding energy. Like in previous calculations the boost effects for the two-body subsystems are repulsive and lower the binding energy.