Abstract
That part of the nucleon-nucleon scattering amplitude for large orbital angular momenta l ⪢ 1 which involves two-meson exchange is calculated in the present paper. The connection between this amplitude and the scattering of real mesons by nucleons is determined with the aid of dispersion relations. The method thus evolved is valid if the inequality lμ/ p ⪢ 1 holds (μ is the meson mass and p the nucleon momentum in the centre-of-mass system), apart from the condition l ⪢ 1. Specific calculations are performed for a singlet amplitude in non-relativistic approximation for not very large orbital angular momenta 1 ⪡ l ⪡ 4 m 2/ μ 2 ( m is the mass of a nucleon and μ that of a meson). Calculations show that already F and G phases at nucleon energies in the laboratory system E l ≲ 150 MeV may be obtained from one-meson approximation with adequate accuracy. This conclusion may prove to be essential for the phase shift analysis of nucleon scattering.
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