Hyperfine structure in the H2+ and HD+ molecular ions at order mα6

被引:21
作者
Korobov, Vladimir, I [1 ]
Karr, Jean-Philippe [2 ,3 ]
Haidar, Mohammad [2 ]
Zhong, Zhen-Xiang [4 ]
机构
[1] Joint Inst Nucl Res, Bogoliubov Lab Theoret Phys, Dubna 141980, Russia
[2] ENS Univ PSL, Sorbonne Univ, Lab Kastler Brossel, CNRS,Coll France, 4 Pl Jussieu, F-75005 Paris, France
[3] Univ Paris Saclay, Univ Evry Val dEssonne, Blvd Francois Mitterrand, F-91000 Evry, France
[4] Chinese Acad Sci, Wuhan Inst Phys & Math, State Key Lab Magnet Resonance & Atom & Mol Phys, Div Theoret & Interdisciplinary Res, Wuhan 430071, Peoples R China
基金
中国国家自然科学基金; 俄罗斯基础研究基金会;
关键词
HELIUM; INTEGRALS;
D O I
10.1103/PhysRevA.102.022804
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
A complete effective Hamiltonian for relativistic corrections at orders m alpha(6) and m alpha(6) (m/M) in a one-electron molecular system is derived from the nonrelativistic QED Lagrangian. It includes spin-independent corrections to the energy levels and spin-spin scalar interactions contributing to the hyperfine splitting, both of which had been studied previously. In addition, corrections to electron spin-orbit and spin-spin tensor interactions are obtained. This allows the improvement of the hyperfine structure theory in hydrogen molecular ions. Improved values of the spin-orbit hyperfine coefficient are calculated for a few transitions of current experimental interest.
引用
收藏
页数:14
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共 41 条
  • [1] Precise test of quantum electrodynamics and determination of fundamental constants with HD+ ions
    Alighanbari, S.
    Giri, G. S.
    Constantin, F. L.
    Korobov, V., I
    Schiller, S.
    [J]. NATURE, 2020, 581 (7807) : 152 - +
  • [2] [Anonymous], 2006, Atomic, Molecular, and Optical Physics Handbook
  • [3] [Anonymous], QUANTUM ELECTRODYNAM
  • [4] THE HYPERFINE STRUCTURE OF HYDROGEN
    ARNOWITT, R
    [J]. PHYSICAL REVIEW, 1953, 92 (04): : 1002 - 1009
  • [5] High-precision calculation of the hyperfine structure of the HD+ ion
    Bakalov, Dimitar
    Korobov, Vladimir I.
    Schiller, Stephan
    [J]. PHYSICAL REVIEW LETTERS, 2006, 97 (24)
  • [6] RELATIVISTIC CORRECTION TO THE LAMB SHIFT
    BARANGER, M
    BETHE, HA
    FEYNMAN, RP
    [J]. PHYSICAL REVIEW, 1953, 92 (02): : 482 - 501
  • [7] SOME RECOIL CORRECTIONS TO THE HYDROGEN HYPERFINE SPLITTING
    BODWIN, GT
    YENNIE, DR
    [J]. PHYSICAL REVIEW D, 1988, 37 (02): : 498 - 523
  • [8] EFFECTIVE LAGRANGIANS FOR BOUND-STATE PROBLEMS IN QED, QCD, AND OTHER FIELD-THEORIES
    CASWELL, WE
    LEPAGE, GP
    [J]. PHYSICS LETTERS B, 1986, 167 (04) : 437 - 442
  • [9] ANGULAR INTEGRALS AND RADIAL RECURRENCE RELATIONS FOR 2-ELECTRON MATRIX-ELEMENTS IN HYLLERAAS COORDINATES
    DRAKE, GWF
    [J]. PHYSICAL REVIEW A, 1978, 18 (03): : 820 - 826
  • [10] Eides M. I., 2007, SPRINGER TRACTS MODE, V222