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A new model is proposed for the mechanism of cluster formation and then penetration of the confining nuclear interaction barrier in radioactive nuclei. The cluster formation is treated as a quantum-mechanical fragmentation process and the WKB penetrability is found analytically. Applications of the model are made to ¹⁴C decay of ^222-224Ra and ²⁴Ne decay of ²³²U. The branching ratio for ¹⁴C decay of ²³²U is also calculated and is found to be incredibly small as compared to that for its ²⁴Ne decay.
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Malik et al. (1989) studied this question.
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