Within the one level R-matrix approach, expressions are derived for the hindrance factors of cluster radioactive decays in which y the shell model with effective residual interactions [e.g.,thelar in the Michigan State University version for nearly spherical nuclei, or the enlarged superfluid model (ESM) recently proposed for deformed nuclei]. The exterior wave functions are calculated from a cluster-nucleus double-folding model potential obtained with the M3Y interaction. As examples of the cluster decay fine structure we analyzed the particular cases of α decay of ${}_{}{}^{241}{}_{}{}^{}\mathrm{Am}$ and ${}_{}{}^{243}{}_{}{}^{}\mathrm{Cm}$, ${}_{}{}^{14}{}_{}{}^{}\mathrm{C}$ decay of ${}_{}{}^{223}{}_{}{}^{}\mathrm{Ra}$, and ${}_{}{}^{34}{}_{}{}^{}\mathrm{Si}$ decay of ${}_{}{}^{243}{}_{}{}^{}\mathrm{Cm}$. Good agreement with the experimental data is obtained.

• Received 22 July 1993

DOI:https://doi.org/10.1103/PhysRevC.49.1466