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arXiv 1702.02727nucl-th
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$N=Z=$奇$p$壳层核的Gamow-Teller跃迁和质子-中子对关联

Gamow-Teller transitions and proton-neutron pair correlation in $N=Z=$ odd $p$-shell nuclei

Hiroyuki Morita, Yoshiko Kanada-En'yo

备注：
21 pages, 3 figures
发表信息：
Phys. Rev. C 96, 044318 (2017)
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摘要：

用同位旋投影和$βγ$约束的反对称化分子动力学结合生成坐标方法研究了$p$壳层区从$N=Z+2$邻核到$N=Z=$奇核的Gamow-Teller（GT）跃迁.计算的从$0^+1$态到$1^+0$态（如${}^{6} \textrm{He}(0_1^+1)\rightarrow{}^{6} \textrm{Li}(1_1^+0)$、${}^{10} \textrm{Be}(0_1^+1)\rightarrow{}^{10} \textrm{B}(1_1^+0)$和${}^{14} \textrm{C}(0_1^+1)\rightarrow{}^{14} \textrm{N}(1_2^+0)$）的GT跃迁强度超过求和规则的50%.发现这些$N=Z+2$初态和$N=Z=$奇终态分别主要具有$S=0,T=1$ $nn$对和$S=1,T=0$ $pn$对。基于双核子（$NN$）对图，我们可以把GT强度的集中理解为$LS$ -耦合方案中的自旋-同位旋-翻转跃迁$nn(S=0,T=1)\rightarrow pn(S=1,T=0)$。GT跃迁可以作为一个很好的探针来识别$N=Z+2$和$N=Z=$奇核的$nn$对和$pn$对的自旋-同位旋伙伴态。

英文摘要：

We have studied the Gamow-Teller (GT) transitions from $N=Z+2$ neighbors to $N=Z=$ odd nuclei in $p$-shell region by using isospin-projected and $βγ$-constraint antisymmetrized molecular dynamics combined with generator coordinate method. The calculated GT transition strengths from $0^+1$ states to $1^+0$ states such as ${}^{6} \textrm{He}(0_1^+1)\rightarrow{}^{6} \textrm{Li}(1_1^+0)$, ${}^{10} \textrm{Be}(0_1^+1)\rightarrow{}^{10} \textrm{B}(1_1^+0)$, and ${}^{14} \textrm{C}(0_1^+1)\rightarrow{}^{14} \textrm{N}(1_2^+0)$ exhaust more than 50\% of the sum rule. These $N=Z+2$ initial states and $N=Z=$ odd final states are found to dominantly have $S=0,T=1$ $nn$ pairs and $S=1,T=0$ $pn$ pairs, respectively. Based on two-nucleon ($NN$) pair picture, we can understand the concentration of the GT strengths as the spin-isospin-flip transition $nn(S=0,T=1)\rightarrow pn(S=1,T=0)$ in $LS$-coupling scheme. The GT transition can be a good probe to identify the spin-isospin partner states with $nn$ pairs and $pn$ pairs of $N=Z+2$ and $N=Z=$ odd nuclei, respectively.

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