Two-body $P$-state energies at $α^6$ order

Fuente: arXiv
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Main Authors: Patkóš, Vojtěch, Yerokhin, Vladimir A., Pachucki, Krzysztof
Format: Preprint
Published: 2024
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author Patkóš, Vojtěch
Yerokhin, Vladimir A.
Pachucki, Krzysztof
author_facet Patkóš, Vojtěch
Yerokhin, Vladimir A.
Pachucki, Krzysztof
contents We present an analytical calculation of the complete $α^6$ correction to energies of $nP$-levels of two-body systems consisting of the spin-$0$ or $1/2$ extended-size particles with arbitrary masses and magnetic moments. The obtained results apply to a wide class of two-body systems such as hydrogen, positronium, muonium, and pionic or aniprotonic helium ion. We found an additional $α^6$ correction for $nP$-levels of positronium, which was previously overlooked. Our results are also relevant for light muonic atoms, whose accurate theoretical predictions are required for extracting the nuclear charge radii.
format Preprint
id arxiv_https___arxiv_org_abs_2401_05922
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Two-body $P$-state energies at $α^6$ order
Patkóš, Vojtěch
Yerokhin, Vladimir A.
Pachucki, Krzysztof
Atomic Physics
We present an analytical calculation of the complete $α^6$ correction to energies of $nP$-levels of two-body systems consisting of the spin-$0$ or $1/2$ extended-size particles with arbitrary masses and magnetic moments. The obtained results apply to a wide class of two-body systems such as hydrogen, positronium, muonium, and pionic or aniprotonic helium ion. We found an additional $α^6$ correction for $nP$-levels of positronium, which was previously overlooked. Our results are also relevant for light muonic atoms, whose accurate theoretical predictions are required for extracting the nuclear charge radii.
title Two-body $P$-state energies at $α^6$ order
topic Atomic Physics
url https://arxiv.org/abs/2401.05922