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arXiv 2310.13428nucl-thnucl-ex
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$^{44}$Ti的$\alpha$衰变:微观团簇化研究

Alpha-decay from $^{44}$Ti: A study of the microscopic clusterization

Alan C. Dassie, Rodolfo M. Id Betan

AI总结:

本文基于Gamow壳模型和弱耦合近似研究$^{44}$Ti激发态的微观团簇化,通过引入连续谱计算类$\alpha$波函数,在6.8 MeV附近识别出一个半衰期下限约0.8 ns的$\alpha$衰变候选态。

摘要:

$\alpha$衰变半衰期的微观确定需要结构和反应计算。结构部分由组成核子的微观分布给出,而产物衰变的相对运动提供了反应部分。本文研究了由核子自由度产生的$^{44}$Ti $0^+$激发态的团簇化。通过Gamow Shell Model(Gamow壳模型)形式引入了质子和中子的连续谱。在弱耦合近似下计算了类$\alpha$波函数。包含了每对核子之间的高斯有效相互作用。将$0^+$基态和激发态与实验及壳模型计算进行了比较。获得了波函数振幅,并通过其共振和非共振贡献进行了区分。分析了四体截断基的影响。包含连续谱在激发态中产生了数百keV的能量增益。在6.8 MeV激发能的实验未分辨态$(0,2)^+$附近识别出一个$\alpha$衰变候选,其半衰期下限约为0.8 ns。

英文摘要:

Microscopic determination of alpha-decay half-lives requires structure and reaction calculations. The structure part is given by the microscopic distribution of the constituent nucleons, while the relative motion of the product's decay provides the reaction part. This paper studies the clusterization of the $0^+$ excited states of $^{44}$Ti arising from the nucleonic degrees of freedom. The continuum spectra of proton and neutron are incorporated through the Gamow Shell Model formalism. The alpha-like wave function is calculated in the weak-coupling approximation. Gaussian effective interaction in each pair of nucleons is included. The $0^+$ ground and excited states are compared with experiment and shell model calculations. The wave function amplitudes are obtained and discriminated by their resonant and non-resonant contributions. The influence of a four-body truncated basis is analyzed. Inclusion of the continuum spectra produces a gain in the excited states of a few hundred keV of energy. One candidate for alpha decay was identified near the experimental unresolved state $(0,2)^+$ of 6.8 MeV excitation energy, with a lower limit for the half-life of $\approx 0.8$ ns.

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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