Abstract
General transformation of α cluster model wave function to jj-coupling shell model in various 4N nuclei
Highlights
General description of shell and cluster structures is a dream of nuclear structure physics
Our strategy is to start with the cluster model side, contrary to standard approaches that start with the shell model side, and try to extend the model space to include shell correlations, for the contribution of the spin–orbit interaction
To overcome this difficulty of the cluster model, we proposed the antisymmetrized quasi-cluster model (AQCM) [9,10,13,14,15,16], which enables us to describe the jj-coupling shell model states with the spin–orbit contribution starting with the cluster model wave function
Summary
General transformation of α cluster model wave function to jj-coupling shell model in various. 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 model wave function. We compare the energy curves for the α+40 Ca cluster configuration calculated with and without the α breaking effect in 44 Ti
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