Separable Kernel of Nucleon-Nucleon Interaction in the Bethe-Salpeter Approach

Abstract

RCNP, Osaka University, Mihogaoka, Ibaraki, Osaka, 567-0047, Japan The dispersion relations for nucleon-nucleon (NN) T -matrix in the framework of the BetheSalpeter equation for a two spin-one-half particle system and with a separable kernel of interaction are considered. The developed expressions are applied for construction of the separable kernel of interaction for S partial-waves in singlet and triplet channels. We calculate the low energy scattering parameters, the phase shifts, and the deuteron binding energy with the separable interaction. The approach can be easily extended to higher partial-waves for NN-scattering and other reactions (N̄N-, πNscattering).

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Cite this paper

@inproceedings{Bondarenko2001SeparableKO, title={Separable Kernel of Nucleon-Nucleon Interaction in the Bethe-Salpeter Approach}, author={Serge G. Bondarenko and Valery V. Burov and Hiroshi Toki}, year={2001} }