Application of Nucleon-Nucleon Dispersion Relations to Nuclear Many-Body Problem

Abstract

A method is given of obtaining the nucleon-nucleon scattering amplitude within nuclear matter, when the nucleon-nucleon dispersion relations are known. This is attained by establishing the dispersion relation for the scattering amplitude under the influence of the Pauli exclusion principle in intermediate states. With this modified amplitude the binding energy of the nucleus is calculated using Brueckner's method. The binding energy per nucleon turned out to be - 13.2 Mev, if the contribution of the three-pion exchange potential is adjusted to give the correct nuclear density. The implication of these results is discussed.