基于$SU(1,1)$过渡哈密顿量和$O(6)$ -Casimir算符的混合体系对$^{112}$ Cd核入侵态的精确描述
The exact description of intruder states in $^{112}$Cd nucleus by using a mixing formalism based on $SU(1,1)$ transitional Hamiltonian and $O(6)$-Casimir operator
摘要：
本文利用具有$U(5)\leftrightarrow(6)$跃迁的跃迁哈密顿量改进了$^{112}$ Cd核能谱和四极跃迁率的理论预言。为了达到这个目的，我们在仿射$SU(1,1)$代数中加入了$O(6)$ -Casimir算符和混合哈密顿量，以提高描述该核的4个$^+_2$和2个$^+_3$侵入能级的精确性.我们还考虑了正则态和入侵态的波函数，作为$N$和$N+2$玻色子空间的组合。结果证实了使用这种混合方法的优点，并以高精度描述能量和跃迁速率
英文摘要：
In this paper, we used a transitional Hamiltonian which has $U(5)\leftrightarrow(6)$ transition to improve theoretical predictions for energy spectra and quadrupole transition rates of $^{112}$Cd nucleus. To this aim, the transitional Hamiltonian in the affine $SU(1,1)$ algebra has been extended by adding the $O(6)$-Casimir operator and mixing Hamiltonian to increase exactness in the description of 4$^+_2$ and 2$^+_3$ intruder levels of this nucleus. We also considered the wave functions of both regular and intruder states, as a combination in the $N$ and $N+2$ boson spaces. The results confirm the advantages of using such mixing approaches and describing the energy and transition rates with high accuracy
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