二维容器中$α$粒子在$^{12}$ C的PDMATHAAB和$4^-$态中的非定域运动
Nonlocalized motion in two-dimensional container of $α$ particles in $3^-$ and $4^-$ states of $^{12}$C
摘要：
在容器模型中研究了$^{12}$ C的第一个$3^-$和$4^-$态，在该模型中引入了移位参数来破坏宇称对称性，从而投影出负宇称态.取位移参数趋近于零的极限，通过对单变形尺寸参数的变分计算，得到了$3^-$和$4^-$态的局域能量极小值.计算结果表明，所得到的$3^-$和$4^-$态的单THSR（Tohsaki-Horiuchi-Schuck-Röpke）波函数与相应的GCM波函数分别有96%和92%的等价性.计算的内禀密度进一步表明，与传统的刚性三角结构不同，这三个团簇的负宇称态在二维容器图中具有非定域的团簇结构.
英文摘要：
The first $3^-$ and $4^-$ states of $^{12}$C are studied in the present container model, in which the shift parameter is introduced to break the parity symmetry for projecting out the negative-parity states. Taking the limit as the shift parameter approaches zero and by variational calculations for one-deformed size parameter, the local energy minima are obtained for the $3^-$ and $4^-$ states. It is found that the obtained single THSR (Tohsaki-Horiuchi-Schuck-Röpke) wave functions for $3^-$ and $4^-$ states are 96% and 92% equivalent to the corresponding GCM wave functions, respectively. The calculated intrinsic densities further show that these negative-parity states of three clusters, different with the traditional understanding of rigid triangle structure, are found to have nonlocalized clustering structure in the two-dimensional container picture.
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