Nα Rgm by the Quark-model G-matrix N N Interaction

We calculate nα phase-shifts in the resonating-group method (RGM), using the nuclear-matter G-matrix of the SU6 quark-model NN interaction. The interaction RGM kernels are evaluated in the center-of-mass system with explicit treatments of the nonlocality and momentum dependence of the partial-wave G-matrix components determined in symmetric nuclear matter. The momentum dependence of the G-matrix components is different for each of the nucleon-exchange and interaction types. The direct potential and the knock-on term are treated in a common framework in the present formalism. A simplified assumption of some G-matrix parameters makes the numerical calculation feasible. Without introducing any free parameters, the central and spin-orbit components of the nα Born kernel are found to have reasonable strengths under the assumption of the rigid translationally invariant shell-model wave function of the α-cluster. The phase-shift equivalent local potentials are examined in theWKB-RGM approximation, by employing theWigner transform of the nα Born kernels.