Semi-empirical formula for spontaneous fission half-life calculation

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Abstract

This work presents a new phenomenological approach for predicting the spontaneous fission half-lives of actinides and superheavy nuclei. A linear dependence between the decimal logarithm of the spontaneous fission half-life and the energy release of alpha decay is found for nuclei with fixed neutron excess and atomic numbers in the range . Based on this correlation, a semi-empirical formula is proposed for the spontaneous fission half-life of even–even nuclei as a function of and . The proposed formula is further extended to predict half-lives for odd-A, odd–odd nuclei, and nuclei with . The formula demonstrates good agreement with experimental data, reproducing the half-lives of 111 known nuclei with a mean deviation of 1.00 order of magnitude. Predictions of the new formula are compared with results obtained using other empirical formulas and microscopic–macroscopic and self-consistent microscopic models. An analysis of the influence of different mass tables on the accuracy of the predictions is performed. The possible fundamental relationship between spontaneous fission and alpha-decay process is discussed.

About the authors

N. S. Moiseev

Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research; Tomsk Polytechnic University

Author for correspondence.
Email: adamian@theor.jinr.ru
Dubna, Russia; Tomsk, Russia

N. V. Antonenko

Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research; Tomsk Polytechnic University

Email: adamian@theor.jinr.ru
Dubna, Russia; Tomsk, Russia

G. G. Adamian

Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research; Tomsk Polytechnic University

Email: adamian@theor.jinr.ru
* Dubna, Russia; Tomsk, Russia

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