Abstract

We use the superfluid tunneling model (STM) to calculate the half-lives of ground-state α decays of even-even superheavy nuclei (SHN) with Z≥100. The experimental data are reproduced to accuracies comparable to other contemporary models of α decay of SHN. We apply the STM to the case of the α decaying high-K isomers identified in the decay chains of 270Ds. By accounting for the α-decay Q values, Qα, the angular momentum difference between initial and final states, L, and a reduction in the pairing gap, Δ, we are able to reproduce the observed α decay of the isomers, including the unusual competition between L≈10 and L≈0 α branches seen for the K isomer in 270Ds (Z=110).

Highlights

  • The theory of α decay was initially formulated in 1928 by Gamow [1], and independently by Gurney and Condon [2], who described the process as a tunneling of the pre-formed α particle through a Coulomb barrier

  • In this article we have applied the Superfluid Tunneling Model to compare against the experimental data on all known α decays of even-even Superheavy Nuclei (SHN) with 100≤Z≤118, i.e., from isotopes of fermium (Z=100) to oganesson (Z=118)

  • The agreement is at a level that is comparable to empirical parameterizations exemplified by comparison with the Viola-Seaborg formula and the Royer formula

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Summary

INTRODUCTION

The theory of α decay was initially formulated in 1928 by Gamow [1], and independently by Gurney and Condon [2], who described the process as a tunneling of the pre-formed α particle through a Coulomb barrier. Many multi-parameter empirical relations, starting with the Geiger-Nuttall rule, have been developed and extensively applied to the description and prediction of α-decay halflives [6,7,8,9] These relations are able to reproduce the experimental half-lives across the nuclear chart to within a factor of about four [10]. In the case of 270Ds chains, do the isomers α decay, including a fine structure that seems to indicate a competition between L≈10 and L≈0 α transitions from the isomer in 270Ds, and the lifetimes of the isomeric states are longer than the corresponding ground states [12,13,14] This has profound implications for the survival of superheavy nuclei and the possibility of studying these states experimentally [17].

SUPERFLUID TUNNELING MODEL
GROUND STATE ALPHA DECAYS OF EVEN-EVEN SHN
ALPHA DECAYS OF HIGH-K ISOMERS IN 270DS DECAY CHAINS
SUMMARY AND CONCLUSIONS
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