Method for Solving the Nambu-Salpeter-Bethe Equation and Its Application to Nucleon-Nucleon Scattering in the<sup>3</sup><i>P</i><sub>1</sub>State

Hitoshi Ito, Masayoshi Mizouchi, T. Murota, T. Nakano, Matu-Tarow Noda, Fujio Tanaka

Progress of Theoretical Physics · 1967 · 11 citations · 0 references

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Abstract

A method for numerically solving the Nambu-Salpeter-Bethe equation in realistic cases is investigated. The method is based on a variational principle and can be applied to all energy regions. By this method the 3P1 phase shifts in nucleon-nucleon scatterint at 10, 100, 205 and 270 MeV incident energies are calculated in the ladder approximation of PS(PS) coupling. Information on the accuracy of solutions is also obtained. The numerical solutions in the case of neglecting the virtual nucleon pair effects are close to the results of the 3-dimensional nonstatic calculation with the one-pion-exchange potential. It is shown that nucleon pair effects are not large.