论文标题
磁偶极矩作为$α$ clustrustering在均匀偶联的核中的强签名
Magnetic dipole moments as a strong signature for $α$-clustering in even-even self-conjugate nuclei
论文作者
论文摘要
我们从$ {}^{}^{12} \ Mathrm {C} $到$ {}^{44} \ Mathrm {ti} $中研究了均匀的偶数偶联核中的磁性偶极矩。对于后者，激发态的测得的旋转磁因子在统计误差内假定$ g \ + 0.5 $的值相同。可以根据$α$ clusters的集体激发来解释此特殊功能。类似地，通过在被考虑的自偶联核中添加一个或两个中子来获得的所有同位素研究相同的观察值的行为。已经发现，对于$ n = z + 1 $同位素，$α$ - 集群结构几乎不影响观察到的负g-因子值，从而证实了分子$α$ cluster模型。但是，除了半魔法同位素外，还添加了进一步的中子，还恢复了原始的$α$ -CLUSTER G-FACTORS，其中偏离$ G \ + 0.5 $的偏差可以与相关的外壳封闭相关联。其次，我们在有限的侧面长度$ l $的有限晶格上分析了宏观$α$ cluster型号的框架中相同的观察力。我们专注于$ 2_1^+$的磁性偶极矩和$ 3_1^ - $ {}}^{12}^{12} \ Mathrm {C} $的$ 3_1^ - $状态所产生的离散效应。
We investigate the magnetic dipole moments in even-even self-conjugate nuclei from ${}^{12}\mathrm{C}$ to ${}^{44}\mathrm{Ti}$. For the latter, the measured gyromagnetic factors of excited states turn out to assume the same value of $g \approx + 0.5$ within statistical errors. This peculiar feature can be interpreted on the basis of collective excitations of $α$-clusters. Analogously, the behaviour of the same observable is studied for all isotopes obtained by adding one or two neutrons to the considered self-conjugate nuclei. It is found that for the $N = Z + 1$ isotopes the $α$-cluster structure hardly contributes to the observed negative g- factor value, corroborating molecular $α$-cluster models. The addition of a further neutron, however, restores the original $α$-cluster g-factors, except for the semi-magic isotopes, in which the deviations from $g \approx + 0.5$ can be associated with the relevant shell closures. Secondly, we analyze the same observable in the framework of a macroscopic $α$-cluster model on a finite lattice of side length $L$. We focus on the discretization effects induced in the magnetic dipole moments of the $2_1^+$ and the $3_1^-$ states of ${}^{12}\mathrm{C}$ at different values of the lattice spacing $a$.
