Realistic α preformation factors of odd-A and odd-odd nuclei within the cluster-formation model

Abstract

The recently proposed cluster-formation model (CFM) (Ahmed et al 2013 J. Phys. G: Nucl. Part. Phys. 40 065105) is extended to calculate the α preformation factors of odd–A and odd–odd nuclei. The extraction process of the formation energy of a preformed α cluster is analyzed in detail, which is crucial for determining the realistic α preformation factor in CFM. With an adaptive modification in the formation energy, we investigate the α preformation factors of odd–A and odd–odd heavy nuclei, and our results show a good agreement with both theoretical prospects and experimental extracted values. This work confirms the validity of the CFM in α preformation factor calculation and can be a useful reference for microscopic calculation in the future.