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arXiv 1602.01933nucl-th
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用粒子数守恒方法研究奇- $Z$转铁核$^{255}$ Lr的转动性质

Rotational Properties of the Odd-$Z$ Transfermium Nucleus $^{255}$Lr by a Particle-number-conserving Method in the Cranked Shell Model

Yu-Chun Li, Xiao-Tao He

备注：
arXiv admin note: text overlap with arXiv:1208.1156 by other authors
发表信息：
Sci. China: Phys., Mech. Astron. 59 (2016) 672011
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摘要：

用推转壳模型（CSM）和粒子数守恒（PNC）方法处理配对关联，研究了实验观测到的奇核$Z$核$^{255}$ Lr中基于$1/2^{-}[521]$ Nilsson态的基态带和基于$7/2^{-}[514]$ Nilsson态的第一激发带.这是第一次对这些转动带进行详细的理论研究。PNC-CSM的计算结果很好地再现了实验的运动学和动力学转动惯量（$\mathcal{J}^{(1)}$和$\mathcal{J}^{(2)}$）与旋转频率的关系。通过比较从不同自旋归属中提取的运动学转动惯量$\mathcal{J}^{(1)}$的理论值和实验值，将自旋$17/2^{-}\rightarrow13/2^{-}$归属于$1/2^{-}[521]$带的最低的$196.6(5)$ keV跃迁，将自旋$15/2^{-}\rightarrow11/2^{-}$归属于$7/2^{-}[514]$带的$189(1)$ keV跃迁.质子$N=7$主壳层包括在计算中。高自旋的$-j$低$-Ω$轨道$1j_{15/2}$ $ (1/2^{-}[770])$的入侵者导致$7/2^{-}[514]$ $α=-1/2$（$α=+1/2$）带在$\hbarω\approx0.20$（$\hbarω\approx0.25$）MeV处的带交叉，以及$1/2^{-}[521]$ $α=-1/2$带在$\hbarω\approx0.175$ MeV处的带交叉。进一步的研究表明，带交叉频率是四极形变依赖。

英文摘要：

Experimentally observed ground state band based on the $1/2^{-}[521]$ Nilsson state and the first exited band based on the $7/2^{-}[514]$ Nilsson state in the odd-$Z$ nucleus $^{255}$Lr are studied by the cranked shell model (CSM) with the paring correlations treated by the particle-number-conserving (PNC) method. This is the first time the detailed theoretical investigations being performed on these rotational bands. Both the experimental kinematic and dynamic moment of inertia ($\mathcal{J}^{(1)}$ and $\mathcal{J}^{(2)}$) versus rotational frequency are reproduced quite well by the PNC-CSM calculations. By comparing the theoretical kinematic moment of inertia $\mathcal{J}^{(1)}$ with the experimental ones extracted from different spin assignments, the spin $17/2^{-}\rightarrow13/2^{-}$ is assigned to the lowest-lying $196.6(5)$ keV transition of the $1/2^{-}[521]$ band, and $15/2^{-}\rightarrow11/2^{-}$ to the $189(1)$ keV transition of the $7/2^{-}[514]$ band, respectively. The proton $N=7$ major shell is included in the calculations. The intruder of the high$-j$ low$-Ω$ orbitals $1j_{15/2}$ $ (1/2^{-}[770])$ at the high spin leads to the band-crossing at $\hbarω\approx0.20$ ($\hbarω\approx0.25$) MeV for the $7/2^{-}[514]$ $α=-1/2$ ($α=+1/2$) band, and at $\hbarω\approx0.175$ MeV for the $1/2^{-}[521]$ $α=-1/2$ band, respectively. Further investigations show that the band-crossing frequencies are quadrupole deformation dependent.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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