描述奇偶核正负宇称带的CSM推广
The CSM extension for description of the positive and negative parity bands in even-odd nuclei
摘要：
用粒子核哈密顿量描述了$^{219}$ Ra、$^{237}$ U和$^{239}$ Pu中的最低宇称伴带$K^π=1/2^{\pm}$，以及$^{227}$ Ra中的三个宇称伴带$K^π=1/2^{\pm}, 3/2^{\pm}, 5/2^{\pm}$。核心是由一个四极和八极玻色子哈密顿量，这是以前用于描述四个积极和四个消极的宇称带在相邻的偶数-偶数同位素描述。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。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。这些态与集体变形基态和内禀γ带态的乘积通过角动量投影分别产生具有$K^π=1/2^{\pm},3/2^{\pm},5/2^{\pm}$的带。在投影态的空间中，计算所考虑的能带的能量。所得到的激发能与相应的实验数据，以及与其他方法获得的。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。计算得到的$^{219}$ Ra的支化比与相应的实验数据吻合得很好。
英文摘要：
A particle-core Hamiltonian is used to describe the lowest parity partner bands $K^π=1/2^{\pm}$ in $^{219}$Ra, $^{237}$U and $^{239}$Pu, and three parity partner bands, $K^π=1/2^{\pm}, 3/2^{\pm}, 5/2^{\pm}$, in $^{227}$Ra. The core is described by a quadrupole and octupole boson Hamiltonian which was previously used for the description of four positive and four negative parity bands in the neighboring even-even isotopes. 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 single particle space for the odd nucleon consists of three spherical shell model states, two of positive and one of negative parity. The product of these states with a collective deformed ground state and the intrinsic gamma band state generate, through angular momentum projection, the bands with $K^π=1/2^{\pm},3/2^{\pm},5/2^{\pm}$, respectively. In the space of projected states one calculates the energies of the considered bands. The resulting 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. The calculated branching ratios in $^{219}$Ra agree quite well with the corresponding experimental data.
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