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Systematics of the spontaneous and simultaneous emission of 2\(\alpha\)-particles

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Abstract

The tunneling of two \(\alpha\)-particles through the interaction potential barrier is investigated to calculate the logarithmic values of half-lives \(T_{1/2}^{2 \alpha }\)’s for even-even nuclei lying in medium and heavy mass region and the obtained results are compared with those reported in the literature. A simple linear relation connecting half-lives and disintegration energies is proposed. We have also analysed the reduced decay widths in terms of pairing correlations. Furthermore, employing the periodic-orbit and BCS theories within microscopic-macroscopic formalism, we have calculated the disintegration energies \(Q_{2 \alpha }\)-values in order to find the possibility of the existence of double \(\alpha\)-radioactivity in unknown superheavy nuclei. Subsequently, the logarithmic values of \(T_{1/2}^{2 \alpha }\)’s are calculated. Moreover, the study of branching ratios leads us to investigate the competition of double \(\alpha\)-decay with \(\alpha\)-decay and SF. Our calculations predict that there is possibility of double \(\alpha\)-radioactivity in \(^{314,316}126\) nuclei owing to the magicity at N=184. We believe that this work can play a significant role in the experimental search for double \(\alpha\)-radioactivity.

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Data Availability Statement

All data generated or analysed during this study are included in this published article.

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Authors and Affiliations

  1. Department of Physics, Guru Nanak Dev University, Amritsar, 143 005, India

    Deepika Pathak, Pardeep Singh, Hiteshwar Parshad, Saniya Monga, Sukhdeep Kaur & Harjeet Kaur

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  1. Deepika Pathak
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  2. Pardeep Singh
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Pathak, D., Singh, P., Parshad, H. et al. Systematics of the spontaneous and simultaneous emission of 2\(\alpha\)-particles. Eur. Phys. J. Plus 137, 1115 (2022). https://doi.org/10.1140/epjp/s13360-022-03309-y

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