Relativistic recoil corrections of order <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>m</mi><msup><mrow><mo>(</mo><mi>Z</mi><mi>α</mi><mo>)</mo></mrow><mn>6</mn></msup><mrow><mo>(</mo><mi>m</mi><mo>/</mo><mi>M</mi><mo>)</mo></mrow></mrow></math>: Hydrogenlike atoms and hydrogen molecular ions

V. I. Korobov

doi:10.1103/ctjy-f8ft

Relativistic recoil corrections of order $m {(Z α)}^{6} (m / M)$ : Hydrogenlike atoms and hydrogen molecular ions

V. I. Korobov ^*

Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna 141980, Russia

^*Contact author: korobov@theor.jinr.ru

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Phys. Rev. A 112, 022808 – Published 11 August, 2025

DOI: https://doi.org/10.1103/ctjy-f8ft

Abstract

The finite operators are derived for the relativistic recoil corrections of order $m α^{6} (m / M)$ to spin-averaged energy levels in hydrogenlike atoms and ions in two- and three-body formalisms beyond the adiabatic approximation. Results are presented in a form suitable for numerical evaluation.

Physics Subject Headings (PhySH)

Atomic & molecular structure

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Physical Review A

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Relativistic recoil corrections of order $m {(Z α)}^{6} (m / M)$ : Hydrogenlike atoms and hydrogen molecular ions

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Relativistic recoil corrections of order m(Zα)6(m/M): Hydrogenlike atoms and hydrogen molecular ions

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Relativistic recoil corrections of order $m {(Z α)}^{6} (m / M)$ : Hydrogenlike atoms and hydrogen molecular ions