CSM扩展对奇偶核正负宇称带的描述
The CSM extension for the description of positive and negative parity bands in even-odd nuclei
摘要：
用粒子核哈密顿量描述了$^{237}$ U和$^{239}$ Pu中最低宇称伴带$K^π=1/2^{\pm}$。与核心相关联的四极和八极玻色子哈密顿量与先前用于描述相邻奇偶同位素中的四个正宇称带和四个负宇称带的哈密顿量相同。奇核子的单粒子空间由三个球壳模型态组成，两个是正宇称态，一个是负宇称态。粒子-核哈密顿量由四极-四极、八极-八极、自旋-自旋和转动$\hat{I}^2$相互作用四项组成，其中$\hat {I}$表示总角动量。通过拟合两个能带中的四个特殊能量，确定了粒子-芯耦合哈密顿量中的参数。计算得到的激发能与相应的实验数据以及与其他方法得到的结果进行了比较。此外，我们寻找一些签名的静态八极形变所考虑的奇数同位素。
英文摘要：
A particle-core Hamiltonian is used to describe the lowest parity partner bands $K^π=1/2^{\pm}$ in $^{237}$U and $^{239}$Pu. The quadrupole and octupole boson Hamiltonian associated to the core is identical to the one previously used for the description of four positive and four negative parity bands in the neighboring even-even isotopes. The single particle space for the odd nucleon consists of three spherical shell model states, two of positive and one of negative parity. The particle-core Hamiltonian consists of four terms: a quadrupole-quadrupole, an octupole-octupole, a spin-spin and a rotational $\hat{I}^2$ interaction, with $\hat {I}$ denoting the total angular momentum. The parameters involved in the particle-core coupling Hamiltonian were fixed by fitting four particular energies in the two bands. The calculated excitation energies are compared with the corresponding experimental data as well as with those obtained with other approaches. Also, we searched for some signatures for a static octupole deformation in the considered odd isotopes.
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