An empirical relation for cluster decay preformation probability
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Date
2014
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Abstract
Empirical relations for the preformation probability of cluster decay process in terms of
the Q-value, mass aisymmetry (?;), mass number of the emitted cluster A2 is analyzed
based on the discrepancy between the calculated and experimental half-lives of the cluster
emitters. For the different empirical expressions considered corresponding to different
physical quantities the preformation probability for the complete binary breakup of
^^®Ra is calculated and the obtained results are compared with the preformed cluster
model calculation (Pq(PCM)) and another calculation in which the overlapping penetration
probability is treated as the preformation probability (Po(/r)). Our empirical
results for the use of Q-value compare well with Po(/r). Results due to the use of Q and
its powers along with the combination of mass number A2 of the cluster emitted, and
mass asymmetry rj, reveal that preformation factor depends strongly on Q-value rather
than A 2 and r/. Calculated half-lives of different cluster decays for the use of emi)iiical
Po values are found to be in good agreement with the experimental values.