The correlation between the $\hat{I}\pm$-cluster separation and the neutron S-factor in ${}^{12}$Be

Abstract

The reduced width amplitudes (RWA) and the spectroscopic factor (S-factor) of $\hat{I}\pm$-cluster and valence neutron in ${}^{12}$Be are calculated by the generator coordinates method (GCM) with the cluster model. By fixing the distance between the $\hat{I}\pm$-clusters' generated coordinates, we make a theoretical experiment to analyze the relationship between the $\hat{I}\pm$-clustering separation and the orbital occupation of the valence neutron in ${}^{12}$Be. The analysis of the results shows that the percentage of the $\ddot{I}ƒ$ orbital occupation in ${}^{12}$Be is positively related to the clustering separation.

5 pages, 6 figures