Acta Physica Sinica

POLARIZABILITIES OF HIGH RYDBERG ALKALI ATOMS

HE XING-HONG, Baiwen Li, ZHANG CHENG-XIU, 中国科学院武汉物理研究所波谱与原子分子物理开放研究实验室

Published Jan 1, 1989• 14 citations

Abstract

A potential model for atoms is employed to calculate the scalar and tensor polarizabilities of Rydberg states (15≤n≤55) of Na, K, Rb and Cs. The results are very close to the experimental values. The scaling relations of the polarizabilities a = An*7 + Bn*6 are also established, and the results obtained from them also agree with experimental data satisfatorily.

DOI: 10.7498/aps.38.1717

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Acta Physica Sinica

POLARIZABILITIES OF HIGH RYDBERG ALKALI ATOMS

HE XING-HONG, Baiwen Li, ZHANG CHENG-XIU, 中国科学院武汉物理研究所波谱与原子分子物理开放研究实验室

Published Jan 1, 1989• 14 citations

Publisher

Abstract

A potential model for atoms is employed to calculate the scalar and tensor polarizabilities of Rydberg states (15≤n≤55) of Na, K, Rb and Cs. The results are very close to the experimental values. The scaling relations of the polarizabilities a = An7 + Bn6 are also established, and the results obtained from them also agree with experimental data satisfatorily.

DOI: 10.7498/aps.38.1717

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Zhangli Lai, Shichao Zhang, Qingdong Gou +1 more

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The scalar and tensor dynamic polarizabilities of the first excited $^{2}P_{1∕2,3∕2}$ states of the alkali-metal atoms $\mathrm{Na}$ , $\mathrm{K}$ , and $\mathrm{Rb}$ are calculated using relativistic many-body perturbation theory. Comparison with experimental measurements of the static polarizabilities suggests that the errors in the theoretical predictions do not exceed 1%. The dynamic polarizabilities at imaginary frequencies are employed to calculate the long-range van der Waals coefficients for the interaction of ground-state helium atoms with the excited alkali-metal atoms to a probable error of less than 2%.The scalar and tensor dynamic polarizabilities of the first excited $^{2}P_{1∕2,3∕2}$ states of the alkali-metal atoms $\mathrm{Na}$, $\mathrm{K}$, and $\mathrm{Rb}$ are calculated using relativistic many-body perturbation theory. Comparison with experimental measurements of the static polarizabilities suggests that the errors in the theoretical predictions do not exceed 1%. The dynamic polarizabilities at imaginary frequencies are employed to calculate the long-range van der Waals coefficients for the interaction of ground-state helium atoms with the excited alkali-metal atoms to a probable error of less than 2%.

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We report a comprehensive set of calculations of the lifetimes of Rydberg states in alkali-metal atoms, using realistic potentials to represent the atomic core. The effects due to core polarizability, spin-orbit interaction, and blackbody radiation are explicitly included. A complete cross reference listing of all available experimental lifetimes is also attempted. The results compare well with experiment for all principal quantum numbers $n$ examined and should provide guidance for future experimental investigations. The relation of the present approach to other works is discussed.We report a comprehensive set of calculations of the lifetimes of Rydberg states in alkali-metal atoms, using realistic potentials to represent the atomic core. The effects due to core polarizability, spin-orbit interaction, and blackbody radiation are explicitly included. A complete cross reference listing of all available experimental lifetimes is also attempted. The results compare well with experiment for all principal quantum numbers $n$ examined and should provide guidance for future experimental investigations. The relation of the present approach to other works is discussed.

Physical Review ADec 1, 1984316 citations

n{S}_{1/2}

n{P}_{1/2,3/2}

, and

n{D}_{3/2,5/2}

Rydberg states of Rb with principal quantum number

n

up to 140 employing a model potential and the

B

-spline expansion technique. We obtain the polarizabilities that are in good agreement with the existing theoretical and experimental data.

n{D}_{3/2,\phantom{\rule{0.16em}{0ex}}5/2}

states with large principal quantum numbers up to

n=50

. The calculations are performed within an effective one-electron approximation, based on the Dirac-Fock Hamiltonian with a semiempirical core-polarization potential. The obtained results are compared with those from a simpler semiempirical approach and with available experimental data.

The scalar and tensor dynamic polarizabilities of the first excited

^{2}P_{1∕2,3∕2}

states of the alkali-metal atoms

\mathrm{Na}

\mathrm{K}

, and

\mathrm{Rb}

are calculated using relativistic many-body perturbation theory. Comparison with experimental measurements of the static polarizabilities suggests that the errors in the theoretical predictions do not exceed 1%. The dynamic polarizabilities at imaginary frequencies are employed to calculate the long-range van der Waals coefficients for the interaction of ground-state helium atoms with the excited alkali-metal atoms to a probable error of less than 2%.

n

examined and should provide guidance for future experimental investigations. The relation of the present approach to other works is discussed.