Phenomenological potential calculations for cluster decays

Authors: ASIM SOYLU

Abstract: The half-lives of cluster decays from various nuclei having experimentally measured values have been calculated by using the Wentzel-Kramers-Brillouin method together with the Bohr-Sommerfeld quantization condition for three different types of phenomenological nuclear interactions: Woods-Saxon (WS), squared Woods-Saxon (WS-2), and mixed Woods-Saxon (mWS) potentials. By comparing the results with experimental values, rms values have been calculated. The half-lives of $^{14}$C, $^{15}$N, $^{16}$O, $^{17}$O, $^{18}$O, $^{20}$O, $^{22}$O, $^{23}$F, $^{22}$Ne, $^{24}$Ne, $^{25}$Ne, $^{26}$Ne, $^{28}$Mg, $^{30}$Mg, and $^{34}$Si decays from various isotopes whose experimental half-lives are unknown have also been calculated by using the WS, WS-2, and mWS potentials. The obtained results have been compared with results of the liquid drop model, the Christensen-Winther potential form, and the Coulomb and proximity potential model. Even if the logarithmic values of the half-lives have similar behaviors, there are differences in size between the values. The present results provide useful information and extra theoretical data for future measurements of the unknown half-lives of possible cluster emissions from various nuclei.

Keywords: Wentzel-Kramers-Brillouin method, cluster decay, half-lives, phenomenological potential

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