Abstract
The Nambu-Salpeter-Bethe equation (so-called the Bethe-Salpeter equation) is solved numerically for the 1S0 state of nucleon-nucleon scattering. Three types of renormalizable meson-nucleon interactions–pion-, neutral-vector-meson- and scalar-meson-exchange–are assumed with ladder approximation. The negative-energy contributions are neglected. We have obtained a set of parameters (the exchanged meson masses and the meson-nucleon coupling constants) which reproduce the experimental values of the low energy scattering parameters (the scattering length and the effective range) and the solutions of the phase-shift analysis of energies 25 ∼270 MeV. The vector-meson-nucleon coupling constant obtained by our calculation is smaller than that obtained by other formulations–the static coordinate space potential, 3-dimensional momentum-space representation and so on.
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