Analytical expressions of non-relativistic static multipole polarizabilities for hydrogen-like ions

doi:10.1088/1674-1056/ab75d0

Abstract Analytical formulas for the static multipole polarizabilities of hydrogen-like ions are derived by using the analytical wave functions and the reduced Green function and by applying a numerical fitting procedure. Our results are then applied to the studies of blackbody radiation shifts to atomic energy levels at different temperatures. Our analytical results can be served as a benchmark for other theoretical methods.

Keywords: polrizabilities analytical formula hydrogen-like ions

Received: 13 December 2019
Revised: 16 January 2020
Accepted manuscript online:

PACS:

31.15.ap

(Polarizabilities and other atomic and molecular properties)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11674253, 11474316, and 91636216).

Corresponding Authors: Haoxue Qiao
E-mail: qhx@whu.edu.cn

Cite this article:

Xuesong Mei(梅雪松), Wanping Zhou(周挽平), Zhenxiang Zhong(钟振祥), Haoxue Qiao(乔豪学) Analytical expressions of non-relativistic static multipole polarizabilities for hydrogen-like ions 2020 Chin. Phys. B 29 043101

[1]	Yan Z C 2000 Phys. Rev. A 62 052502
[2]	Bhatti M I, Coleman K D and Perger W F 2003 Phys. Rev. A 4 044503
[3]	Cohen S and Themelis S I 2006 J. Chem. Phys. 124 134106
[4]	Tang L Y, Zhang Y H, Zhang X Z, Jiang J and Mitroy J 2012 Phys. Rev. A 86 012505
[5]	Swainson R A and Drake G W F 1991 J. Phys. A 24 79
[6]	Swainson R A and Drake G W F 1991 J. Phys. A 24 95
[7]	Swainson R A and Drake G W F 1991 J. Phys. A 24 1801
[8]	Krylovetsky A A and Manakov N L and Marmo S I 2001 J. Exp. Theor. Phys. 92 37
[9]	Baye D 2012 Phys. Rev. A 86 062514
[10]	Kamenski A A and Ovsiannikov V D 2014 J. Phys. B: At. Mol. Opt. Phys.47 095002
[11]	Buckingham A D 1967 Adv. Chem. Phys. 12 107
[12]	Berestetskii V B, Lifshitz E M and Pitaevskii L P 2008 Quantum Electrodynamics (2nd Edn.) (Singapore: Elsevier) pp. 166–168
[13]	Jentschura U D and Haas M 2008 Phys. Rev. A 78 042504
[14]	Farley J W and Wing W H 1981 Phys. Rev. A 23 2397
[15]	Donoghue J F and Holstein B R 1983 Phys. Rev. D 28 340
[16]	Solovyev D and Labzowsky L and Plunien G 2015 Phys. Rev. A 92 022508
[17]	Zhou W P, Mei X S and Qiao H X 2001 J. Phys. B 50 105001
[18]	Wang Z X and Guo D R 2000 Introduction to Special Functions (Chinese edition) (Beijing: Peking University Press) p. 321

[1]	P-branch emission spectra of the A¹ $Π$ –X¹Σ⁺ system of IrN Fan Qun-Chao(樊群超), Sun Wei-Guo(孙卫国), Li Hui-Dong(李会东), and Feng Hao(冯灏) . Chin. Phys. B, 2012, 21(2): 023301.
[2]	Analytical formulae and recurrence relations of bound-continuous transition matrix element for Coulomb wavefunctions Chen Chang-Yuan (陈昌远), Sun Dong-Sheng (孙东升), Lu Fa-Lin (陆法林). Chin. Phys. B, 2005, 14(1): 37-41.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Analytical expressions of non-relativistic static multipole polarizabilities for hydrogen-like ions

Cite this article:

Online attention