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arXiv 1302.5833nucl-th
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从$α$ -簇波函数到$jj$ -耦合壳模型波函数的光滑过渡的新的简单描述

Novel and simple description for a smooth transition from $α$-cluster wave functions to $jj$-coupling shell model wave functions

Tadahiro Suhara, Naoyuki Itagaki, József Cseh, Marek Płoszajczak

摘要:

本文提出了一个改进的反对称准团簇模型(AQCM)来描述从$α$ -团簇波函数到$jj$ -耦合壳模型波函数的平滑过渡,并将其应用于$^{12}$ C的基态. $^{12}$ C中的团簇-壳层转变在AQCM中仅由两个参数表征:$R$表示$α$团簇与质心之间的距离,$Λ$描述$α$团簇的断裂。$^{12}$ C基态的最佳AQCM波函数是介于3- $α$团簇态和具有$p_{3/2}$子壳闭合构型的壳模型态之间的中间态。结果与反对称分子动力学(AMD)的结果一致,最优AQCM波函数与AMD波函数在数量上一致,尽管AQCM的自由度明显较少.

英文摘要:

We propose an improved version of Antisymmetrized Quasi-Cluster Model (AQCM) to describe a smooth transition from the $α$-cluster wave function to the $jj$-coupling shell model wave function and apply it to the ground state of $^{12}$C. The cluster-shell transition in $^{12}$C is characterized in AQCM by only two parameters: $R$ representing the distance between $α$ clusters and the center of mass, and $Λ$ describing the break of $α$ clusters. The optimal AQCM wave function for the ground state of $^{12}$C is an intermediate state between the three-$α$ cluster state and the shell model state with the $p_{3/2}$ subshell closure configuration. The result is consistent with that of the Antisymmetrized Molecular Dynamics (AMD), and the optimal AQCM wave function quantitatively agrees with the AMD one, although the number of degrees of freedom in AQCM is significantly fewer.

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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