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arXiv 2510.18577nucl-th
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$α$-衰变系统学:子核变形的影响

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

Xingzhi College, Zhejiang Normal University(浙江师范大学行知学院)

Jinyu Hu, Chen Wu

AI总结:

本文研究了超重核$α$衰变半衰期中子核变形的影响,改进了DUR、AKRA和New Geiger-Nuttall模型,发现改进的AKRA模型与实验数据最吻合,且在N>190时DUR+D和AKRA+D模型预测优于ND模型。

摘要:

最近,V.Yu. Denisov提出了一种新的经验公式,考虑了子核变形,显著提高了偶偶核$α$衰变半衰期的描述。本文将子核变形推广到DUR模型、AKRA模型和New Geiger-Nuttall定律,生成三种改进版本。我们使用原始和改进的DUR模型、AKRA模型和New Geiger-Nuttall定律研究了400个同位素的$α$衰变半衰期。结果表明,改进的AKRA模型与实验数据最一致。对于比较分析,我们使用改进的DUR模型(DUR+D)、AKRA模型(AKRA+D)和Denisov提出的新的经验公式(ND)预测了71个偶偶核(Z=118,120,122,124)的$α$衰变性质。DUR+D、AKRA+D和ND的预测总体一致。值得注意的是,当N>190时,DUR+D和AKRA+D模型的预测优于ND模型,这可能归因于DUR+D和AKRA+D模型中包含额外的物理贡献(如变形子核的十六极和六十四极变形),而ND模型未包含这些贡献。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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