Relativistic corrections of order <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>m</mi><msup><mi>α</mi><mn>6</mn></msup></mrow></math>: Singular operators and regularization

V. I. Korobov

doi:10.1103/l5hv-yx2p

Relativistic corrections of order $m α^{6}$ : Singular operators and regularization

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, 022813 – Published 14 August, 2025Erratum Phys. Rev. A 113, 029901 (2026)

DOI: https://doi.org/10.1103/l5hv-yx2p

Abstract

The finite operators are derived for the nonrecoil [leading order in the $(m / M)$ expansion] relativistic corrections in hydrogenlike atoms and ions at order $m α^{6}$ in the two- and three-body formalisms beyond the adiabatic approximation. Singular operators that appear in the derivation are analyzed, and various regularization methods are discussed.

Physics Subject Headings (PhySH)

Atomic spectra

Erratum

Erratum: Relativistic corrections of order $m α^{6}$ : Singular operators and regularization [Phys. Rev. A 112, 022813 (2025)]

V. I. Korobov

Phys. Rev. A 113, 029901 (2026)

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Physical Review A

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Relativistic corrections of order $m α^{6}$ : Singular operators and regularization

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Erratum: Relativistic corrections of order $m α^{6}$ : Singular operators and regularization [Phys. Rev. A 112, 022813 (2025)]

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Relativistic corrections of order mα6: Singular operators and regularization

Abstract

Physics Subject Headings (PhySH)

Erratum

Erratum: Relativistic corrections of order mα6: Singular operators and regularization [Phys. Rev. A 112, 022813 (2025)]

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Relativistic corrections of order $m α^{6}$ : Singular operators and regularization

Erratum: Relativistic corrections of order $m α^{6}$ : Singular operators and regularization [Phys. Rev. A 112, 022813 (2025)]