Dispersion representation for the nucleon-nucleon T matrix in the Bethe-Salpeter approach -: art. no. 064003

The dispersion relations for the nucleon-nucleon (NN) T matrix in the framework of the Bethe-Salpeter equation for a two spin-one-half particle system with a separable kernel of interaction are considered. The developed expressions allow us to find explicit analytic connection between parameters of the separable kernel and low-energy scattering parameters and deuteron binding energy and to construct the rank-I separable kernel of interaction for S partial waves in singlet and triplet channels. The obtained kernel is used to calculate phase shifts. We presume that the approach can be extended-with a reasonable effort-to higher partial waves for NN scattering and other reactions ((N) over barN, piN scattering).