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$α$-decay systematics for superheavy nucleus: the effect of deformation of daughter nucleus

Jinyu Hu, Chen Wu

TL;DR

The study investigates α-decay half-lives of superheavy nuclei by incorporating the deformation of the daughter nucleus into three empirical frameworks (DUR, AKRA, NGN) and their deformation-enhanced variants (DUR+D, AKRA+D, NGN+D) across 400 isotopes. It generalizes Denisov's deformation term to include hexadecapole ($β_4$) and hexacontatetrapole ($β_6$) contributions, finding that the AKRA+D model most accurately reproduces experimental data among the six models. Predictions for 71 superheavy nuclei (Z = 118–124) using DUR+D, AKRA+D, and Denisov's ND are broadly consistent, with DUR+D and AKRA+D tending to exceed ND for $N>190$ due to additional deformation effects. Overall, the results demonstrate that daughter-nucleus deformation is a significant factor in α-decay systematics and enhances predictive power for superheavy elements.

Abstract

Recently, V.Yu. Denisov proposed a new empirical formula incorporating the deformation of the daughter nucleus, which has significantly improved the description of $α$-decay half-lives for even-even nuclei compared to formulas neglecting the deformation of the daughter nucleus. In this work, we generalize the deformation of the daughter nucleus proposed by V.Yu. Denisov to the DUR model, the AKRA model, the New Geiger-Nuttall law, generating three improved versions of these models. We then employ both the original and modified the DUR model, the AKRA model, and the New Geiger-Nuttall law to investigate the $α$-decay half-lives of 400 isotopes. Results show that among the six models, the modified AKRA model provides the closest agreement with experimental $α$-decay half-life data. For comparative analysis, we use the new empirical formulas developed for the DUR model (DUR+D), the AKRA model (AKRA+D) and a new empirical (ND) proposed by V.Yu. Denisov to predict the $α$-decay properties of 71 even-even nuclei with Z = 118, 120, 122, and 124. The predictions from the DUR+D model, the AKRA+D model, and ND are largely consistent overall. Notably, when the neutron number $N>190$, the predictions from the DUR+D model and the AKRA+D model exceed those of ND, which may be attributed to additional physical contributions (e.g., the hexadecapole and the hexacontatetrapole deformation of the deformed daughter nucleus) incorporated in the DUR+D model and the AKRA+D model but not in ND.

$α$-decay systematics for superheavy nucleus: the effect of deformation of daughter nucleus

TL;DR

The study investigates α-decay half-lives of superheavy nuclei by incorporating the deformation of the daughter nucleus into three empirical frameworks (DUR, AKRA, NGN) and their deformation-enhanced variants (DUR+D, AKRA+D, NGN+D) across 400 isotopes. It generalizes Denisov's deformation term to include hexadecapole () and hexacontatetrapole () contributions, finding that the AKRA+D model most accurately reproduces experimental data among the six models. Predictions for 71 superheavy nuclei (Z = 118–124) using DUR+D, AKRA+D, and Denisov's ND are broadly consistent, with DUR+D and AKRA+D tending to exceed ND for due to additional deformation effects. Overall, the results demonstrate that daughter-nucleus deformation is a significant factor in α-decay systematics and enhances predictive power for superheavy elements.

Abstract

Recently, V.Yu. Denisov proposed a new empirical formula incorporating the deformation of the daughter nucleus, which has significantly improved the description of -decay half-lives for even-even nuclei compared to formulas neglecting the deformation of the daughter nucleus. In this work, we generalize the deformation of the daughter nucleus proposed by V.Yu. Denisov to the DUR model, the AKRA model, the New Geiger-Nuttall law, generating three improved versions of these models. We then employ both the original and modified the DUR model, the AKRA model, and the New Geiger-Nuttall law to investigate the -decay half-lives of 400 isotopes. Results show that among the six models, the modified AKRA model provides the closest agreement with experimental -decay half-life data. For comparative analysis, we use the new empirical formulas developed for the DUR model (DUR+D), the AKRA model (AKRA+D) and a new empirical (ND) proposed by V.Yu. Denisov to predict the -decay properties of 71 even-even nuclei with Z = 118, 120, 122, and 124. The predictions from the DUR+D model, the AKRA+D model, and ND are largely consistent overall. Notably, when the neutron number , the predictions from the DUR+D model and the AKRA+D model exceed those of ND, which may be attributed to additional physical contributions (e.g., the hexadecapole and the hexacontatetrapole deformation of the deformed daughter nucleus) incorporated in the DUR+D model and the AKRA+D model but not in ND.
Paper Structure (10 sections, 13 equations, 8 figures, 9 tables)

This paper contains 10 sections, 13 equations, 8 figures, 9 tables.

Table of Contents

  1. INTRODUCTION
  2. FORMALISM OF -DECAY HALF-LIVES
  3. the DUR model(DUR)
  4. the DUR+D model(DUR+D)
  5. the AKRA model(AKRA)
  6. the AKRA+D model(AKRA+D)
  7. the New Geiger-Nuttall law (NGN)
  8. the New Geiger-Nuttall+D law (NGN+D)
  9. RESULTS AND DISCUSSION
  10. SUMMARY AND CONCLUSION

Figures (8)

  • Figure 1: The difference between theoretical and experimental -decay half-lives for all formulas of set odd-odd.
  • Figure 2: The difference between theoretical and experimental -decay half-lives for all formulas of set odd-even.
  • Figure 3: The difference between theoretical and experimental -decay half-lives for all formulas of set even-odd.
  • Figure 4: The difference between theoretical and experimental -decay half-lives for all formulas of set even-even.
  • Figure 5: Plot of the logarithm of half-life (seconds) for the models DUR+D, and AKRA+D vs neutron number N for Z = 118
  • ...and 3 more figures