Intermediate Coupling Meson Theory of Nuclear Forces, II

In the Part I of the same title a method has been proposed to construct the nuclear potential by means of the intermediate coupling theory, where the charged scalar theory has been taken as an example. In this paper, the method is applied to the realistic case, symmetrical pseudo-scalar theory with pseudo-vector coupling, and the static nuclear potential is obtained up to the order of e-2x, where x=µr. The result are found to depend on the cut-off procedure which is inevitably introduced to avoid the divergence troubles. A cut-off factor should be chosen so that effects of the so-called contact interaction do not extend onto the exterior region x≳1.0. We take a cut-off factor of gaussian type as a suitable one. Our potential does not essentially differ from the FST-potential and the BW potential with cut-off. After the renormalization of the coupling constant, the potential of the order of e-x coincides with the conventional second order perturbation potential in the exterior region, irrespectively of an assumed “structure” of the clothed nucleon. The potential of the order of e-2x, however, depends essentially on the cut-off facor.