Multichannel scattering with nonlocal and confining potentials. II. Application to a nonrelativistic quark model of the NN interaction.

Abstract

The generalized Levinson theorem for systems involving nonlocal and confining potentials is illustrated by a nonrelativistic quark model for the NN interaction, formulated within the framework of the resonating group (RG) method. In order to apply the results of the preceding paper to this problem, we first show how the system of integro-differential equations of the RG method can be transformed into a system of coupled Schr\"odinger equations with nonlocal potentials. The forbidden states arising in the many-channel wave function from the Pauli principle are then shown to play the same role as normalizable bound states, as far as the generalized Levinson theorem is concerned. Numerical results are presented for the l=0 partial wave in the (ST)=(01) channel.