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Cluster-Daughter Overlap as a New Probe of Alpha-Cluster Formation in Medium-Mass and Heavy Even-Even Nuclei
We study the possibility to use the cluster-daughter overlap as a new probe
of alpha-cluster formation in medium-mass and heavy even-even nuclei. We
introduce a dimensionless parameter , which is the ratio between
the root-mean-square (rms) intercluster separation and the sum of rms point
radii of the daughter nucleus and the alpha particle, to measure the degree of
the cluster-daughter overlap quantitatively. By using this parameter, a large
(small) cluster-daughter overlap between the alpha cluster and daughter nucleus
corresponds to a small (large) value. The alpha-cluster
formation is shown explicitly, in the framework of the quartetting wave
function approach, to be suppressed when the parameter is small,
and be favored when the parameter is large. We then use this
parameter to explore systematically the landscape of
alpha-cluster formation probabilities in medium-mass and heavy even-even
nuclei, with being calculated from experimentally measured
charge radii. The trends of alpha-cluster formation probabilities are found to
be generally consistent with previous studies. The effects of various shell
closures on the alpha-cluster formation are identified, along with some hints
on a possible subshell structure at along the Hg and Pb isotopic
chains. The study here could be a useful complement to the traditional route to
probe alpha-cluster formation in medium-mass and heavy even-even nuclei using
alpha-decay data. Especially, it would be helpful in the cases where the target
nucleus is stable against alpha decay or alpha-decay data are currently not
available.Comment: 16 pages, 6 figures; accepted versio
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