A microscopic description of the heavy cluster spontaneous emission problem is presented. A realistic large single-particle basis and pairing two-body interaction are used in computing the cluster preformation amplitude. The barrier penetration process is treated within the WKB approximation. Applications are presented for the 14 C decay from Ra isotopes and 12 C decay from 114 Ba. The calculated total widths are about one order of magnitude smaller than the currently accepted experimental values.
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Delion et al. (1994) studied this question.
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