Abstract

The single particle levels for the heavy-ion emission process are computed. This decay mode is treated like a superasymmetric fission process. The nuclear shape parametrization is characterized by three degrees of freedom. The difficulties encountered in the microscopic determination of the energy scheme at these very large mass asymmetries are presented. Thereby, a new version of the two-center model, especially designed for very large mass asymmetries, is described. The $^{14}\mathrm{C}$ heavy-ion spontaneous emission from the parent nucleus $^{223}\mathrm{Ra}$ is treated in the frame of this model. The principal trends of the variations obtained for the energetic levels during this superasymmetric nuclear decay are discussed. Mainly, for this kind of decay mode, the levels with lower values of the angular momentum projection \ensuremath{\Omega} show more pronounced variations than those with higher \ensuremath{\Omega}. Also, a qualitative explanation for the favoring of the first excited states in the fine structure in this radioactive process is given. \textcopyright{} 1996 The American Physical Society.

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