Alpha decay and spontaneous fission in superheavy isotopes, Z=124Z=124, using a density-dependent cluster model
Abstract
Alpha decay (AD) and spontaneous fission (SF) half-lives of superheavy nuclei 296−350124296−350124 have been studied within the density-dependent cluster model. The alpha-nucleus potentials were calculated using the double-folding model with the realistic M3Y nucleon–nucleon interaction. To calculate nuclear half-lives, several semi-empirical formulas were used in addition to the Wentzel–Kramers–Brillouin (WKB) approximation. The calculated AD half-lives agree well with the values computed by the analytical formulas of Royer, the semi-empirical formula of Poenaru et al. and the Viola–Seaborg systematic. To identify the mode of decay of these nuclei, the SF half-lives were calculated using the semi-empirical formula given by Xu et al. The results show that among the isotopes studied, isotopes 312−318124312−318124 can be survived from the SF and have a half-life greater than 10−610−6(s). The study predicts 4α4α chains from isotopes 312,313124312,313124, 3α3α chains from isotopes 314,315,316124314,315,316124, 2α2α chains from isotopes 317,318124317,318124 and an AD from 319,320124319,320124. These isotopes have a half-life long enough to be synthesized in the laboratory. Also, in the decay chains of these isotopes, it is observed that the nuclei 284,287110,288112,292114,297−302116284,287110,288112,292114,297−302116 have higher half-lives than their neighbors. The neutron numbers corresponding to these isotopes are N=163,164,165,172,174,177N=163,164,165,172,174,177 indicating the magical or semi-magical behavior of these numbers, which is in good agreement with the research results.
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