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arXiv 1104.3200nucl-th
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λ超子对原子核集体激发的杂质效应

Impurity effect of Lambda hyperon on collective excitations of atomic nuclei

J. M. Yao, Z. P. Li, K. Hagino, M. Thi Win, Y. Zhang, J. Meng

摘要:

在非相对论能量密度泛函理论框架下,以$^{24}$ Mg的基态转动带为例,研究了$^{24}$超子杂质效应对原子核集体激发的影响.为此,我们考虑到相关的恢复破碎的对称性和波动的集体变量通过解决本征值问题的五维集体哈密顿四极振动和旋转自由度。集体哈密顿量的参数确定与约束平均场计算使用SGII Skyrme力的三轴形状。我们比较了低自旋谱的$^{24}$镁与频谱内相同的原子核$^{25}_Λ$镁。研究发现,尽管对质子平均半径的收缩效应仅为$\sim0.5%$,但$Λ$超子主要是通过软化势能面使基态带向球形方向伸展,使$B(E2:2^+_1 \rightarrow 0^+_1)$值减小.

英文摘要:

Taking the ground state rotational band in $^{24}$Mg as an example, we investigate the impurity effect of $Λ$ hyperon on collective excitations of atomic nuclei in the framework of non-relativistic energy density functional theory. To this end, we take into account correlations related to the restoration of broken symmetries and fluctuations of collective variables by solving the eigenvalue problem of a five-dimensional collective Hamiltonian for quadrupole vibrational and rotational degrees of freedom. The parameters of the collective Hamiltonian are determined with constrained mean-field calculations for triaxial shapes using the SGII Skyrme force. We compare the low-spin spectrum for $^{24}$Mg with the spectrum for the same nucleus inside $^{25}_Λ$Mg. It is found that the $Λ$ hyperon stretches the ground state band and reduces the $B(E2:2^+_1 \rightarrow 0^+_1)$ value by $\sim 9%$, mainly by softening the potential energy surface towards the spherical shape, even though the shrinkage effect on the average proton radius is only $\sim0.5%$.

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