General transformation of α cluster model wave function to jj-coupling shell model in various 4N nuclei

Abstract

The antisymmetrized quasi-cluster model (AQCM) is a method to describe transitions from the α cluster wave functions to jj-coupling shell model wave functions. In this model, the cluster-shell transition is characterized by only two parameters: R representing the distance between α clusters and describing the breaking of α clusters. The contribution of the spin-orbit interaction, very important in the jj-coupling shell model, can be taken into account starting with the α cluster modelwave function. In this article we showthe generality ofAQCMby extending the application to heavier regions: various 4N nuclei from [4]He to [100]Sn. The characteristic magic numbers of the jj-coupling shell model, 28 and 50, are described starting with the α cluster model. The competition of two different configurations is discussed in [20]Ne ([16]O + one quasi-cluster and [12]C + two quasi-clusters) and [28]Si (pentagon shape of five quasi-clusters and [12]C+[16]O). Also, we compare the energy curves for the α+[40]Ca cluster configuration calculated with and without the α breaking effect in [44]Ti.