Relativistic semiempirical-core-potential calculations of Sr+ using Laguerre and Slater spinors
Relativistic semiempirical-core-potential calculations of Sr+ using Laguerre and Slater spinors
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使用 Laguerre 和 Slater 旋量计算 Sr 的相对论半经验核心势
DOI：
10.1103/physreva.94.062514
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发表时间：
2016-12
期刊：
影响因子：
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通讯作者：
Michael W. J. Bromley
中科院分区：
文献类型：
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作者：
Jun Jiang;J Mitroy;Yong-Jun Cheng;Michael W. J. Bromley
用S旋量和L旋量对重碱金属原子和类碱离子的结构进行了相对论描述。核心波函数是通过使用S旋量基的狄拉克-福克计算定义的。然后在S旋量基础上补充了一大组L旋量，用于计算冻结核模型中的价波函数。通过计算几个低位氢本征态的能量和衰减率以及Z=60类氢离子的极化率，证明了L旋量方法的数值稳定性。然后用该方法计算了锶离子5s、4d和5p态的动态极化率。计算了不同跃迁对之间斯塔克位移为0的幻波长。确定5s→4d32和5s→4d52跃迁在417 nm附近的幻波长(接近5s→5pj跃迁的波长)将允许确定5s→5p12和5s→5p32跃迁的振荡器强度比。
A relativistic description of the structure of heavy alkali-metal atoms and alkali-like ions using S-spinors and L-spinors is developed. The core wave function is defined by a Dirac-Fock calculation using an S-spinor basis. The S-spinor basis is then supplemented with a large set of L-spinors for calculation of the valence wave function in a frozen-core model. The numerical stability of the L-spinor approach is demonstrated by computing the energies and decay rates of several low-lying hydrogen eigenstates, along with the polarizabilities of a Z=60 hydrogenic ion. The approach is then applied to calculate the dynamic polarizabilities of the 5s, 4d, and 5p states of Sr+. The magic wavelengths at which the Stark shifts between different pairs of transitions are 0 are computed. Determination of the magic wavelengths for the 5s→4d32 and 5s→4d52 transitions near 417 nm (near the wavelength for the 5s→5pj transitions) would allow determination of the oscillator strength ratio for the 5s→5p12 and 5s→5p32 transitions.