Nα Resonating-Group Calculation with a Quark-Model G-Matrix NN Interaction

Abstract

We calculate nα phase-shifts and scattering observables in the resonating-group method, using the nuclear-matter G-matrix of an SU6 quark-model NN interaction. The G-matrix is generated in the recent energy-independent procedure of the quark-model NN interaction with the continuous prescription for intermediate spectra, by assuming an appropriate Fermi momentum kF = 1.2 fm −1. The nα RGM interaction kernels are evaluated with explicit treatments of the nonlocality and momentum dependence of partial-wave G-matrix components. The momentum dependence of the G-matrix components is different for each of the nucleon-exchange and interaction types. Without introducing any artificial parameters except for kF , the central and spin-orbit components of the nα Born kernel are found to have reasonable strengths under the assumption of a rigid translationally invariant shell-model wave function of the α-cluster. The characteristic behaviors of three different exchange terms, corresponding to knockout, heavy-particle pickup and nucleon-rearrangement processes, are essentially the same between the case of previous local effective NN forces and the case of nonlocal G-matrix NN interactions.