Abstract
The $\ensuremath{\alpha}$ preformation factors of medium-mass nuclei as well as their behavior in the vicinity of $Z=82$ shell closure are systematically investigated by using the cluster-formation model (CFM). The recently proposed CFM was proven to be effective in the evaluation of $\ensuremath{\alpha}$ preformation factors in the heavy-mass region, and we find that it is also valid for medium-mass nuclei because it reproduces reasonable features of the variation of $\ensuremath{\alpha}$ preformation probability, especially the $Z=82$ shell effects which are made evident in a recent experiment. A total of 363 nuclides (including even-even, odd-$A$ and odd-odd nuclei) with $72\ensuremath{\le}Z\ensuremath{\le}88$ and $84\ensuremath{\le}N\ensuremath{\le}117$ are included in our calculation. Through a comparison between $Z=82$ and $N=126$ shell effects, the structural effects inside the observed different behavior of preformation factors are discussed in detail. As an extended application to medium-mass nuclei, the CFM provides a convenient and effective way to extract nuclear structure information from the $\ensuremath{\alpha}$ preformation factor. The results in this work can be a useful reference for future analysis in the microscopic calculation of $\ensuremath{\alpha}$ decay.
Published Version
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