Leading-order relativistic corrections to the rovibrational spectrum of H2 + and HD+ molecular ions

High-precision variational calculations of the operators for the relativistic corrections in the leading mα4 order are presented. The rovibrational states in the range of the total orbital angular momentum L=0-4 and vibrational quantum number v=0-10 for the H2+ and HD+ molecular ions are considered. We estimate that about 10 significant digits are obtained. This high precision is required for making theoretical predictions for transition frequencies at the level of 10-12 relative uncertainty. © 2019 American Physical Society.

Authors
Aznabayev D.T.1, 2, 3 , Bekbaev A.K.1, 4 , Korobov V.I. 1, 5
Journal
Physical Review A
Publisher
American Physical Society
Number of issue
1
Language
English
Status
Published
Link
External link
DOI
10.1103/PhysRevA.99.012501
Number
012501
Volume
99
Year
2019
Organizations
  • 1 Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, 141980, Russian Federation
  • 2 Institute of Nuclear Physics, Ministry of Energy of the Republic of Kazakhstan, Almaty, 050032, Kazakhstan
  • 3 L. N. Gumilyov Eurasian National University, Astana, 010000, Kazakhstan
  • 4 Al-Farabi Kazakh National University, Almaty, 050038, Kazakhstan
  • 5 Peoples' Friendship University of Russia, RUDN University, 6 Miklukho-Maklaya St., Moscow, 117198, Russian Federation
Keywords
Ion sources; Variational techniques; Orbital angular momentum; Relative uncertainty; Relativistic correction; Rovibrational spectrum; Rovibrational state; Transition frequencies; Variational calculation; Vibrational quantum number; Quantum theory
Date of creation
04.02.2019
Date of change
04.02.2019
Short link
https://repository.rudn.ru/en/records/article/record/36101/
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