Nuclear Forces in Pseudoscalar Meson Theory

概要

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Perturbation theoretical calculations are made of nuclear forces yielded by pseudoscalar meson theory up to the fourth order in the coupling constant, especially taking account of the recoil of the nucleons in the intermediate states. Both cases of pseudoscalar and pseudovector couplings are considered. The expressions of the nucleon-nucleon interactions obtained contain integrals of contributions of various values of nucleon momenta in the intermediate states. Expanding the integrands of these integrals in powers of μ / M, and picking up the first few terms from each of these expansions, we obtain the nuclear potentials for the case in which the nucleon recoil neglected. These potentials are found to be in agreement with the adiabatic potentials which have been calculated by Taketani et. al. for the case of pseudovector coupling, and by Levy and Klein for the case of pseudoscalar coupling. However, the differences between the adiabatic potentials and the potentials calculated taking account of the nucleon recoil are found to be much larger than those expected by considering them to be of the higher order in μ / M. Brief discussions are made on the qualitative properties of the nucleon-nucleon interactions calculated by us.
理論物理学刊行会の論文