Intermediate Coupling Meson Theory of Nuclear Forces, I

Abstract

The method of construction of nuclear potential is represented in charged scalar meson theory as example, assuming that (i) the kinetic energies of the nucleons are not very large, and (ii) interaction between nucleons and meson field is not very strong. Starting with the single clothed nucleons, we restrict the number of mesons exchanged between the nucleons up to two. This corresponds to the expansion of the nuclear potential into the power of exp(-µr). The assumption (i) guarantees this procedure. The potential of order of exp(-µr) differs from the conventional one by the factor (1-Pd)2 which is due to the dissociation probability Pd of the single clothed nucleon. The potential of order of exp(-2µr) originates from the effects: (i) distortion of zero-meson fields, (ii) transition to the isobaric states, (iii) emission and absorption of s-mesons by the individual particles. The exchange of the s-meson cannot occur, so far as we are concerned with the potentials up to the order of exp(-2µr). This suggests that the zero-mesons described by intermediate coupling meson theory would give the good picture of the meson cloud around the nucleons, for the low energy nuclear forces.