Electron-nucleus Araki-Sucher correction in the hydrogen molecule isotopologues

Fuente: arXiv
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Main Author: Komasa, Jacek
Format: Preprint
Published: 2025
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author Komasa, Jacek
author_facet Komasa, Jacek
contents The quantum electrodynamic Araki-Sucher correction arising from the interaction between electrons and nuclei is calculated for rovibrational energy levels of the hydrogen molecule and its isotopologues. The corresponding expectation value $\langle r_{en}^{-3}\rangle$ is evaluated across a wide range of internuclear distances using the Born-Oppenheimer approximation. The electronic wave function is represented as a linear combination of explicitly correlated Gaussian basis functions. This correction contributes approximately tenths of a megahertz (about $10^{-5}$cm$^{-1}$) to the dissociation energy of rovibrational levels and to the transitions between them. Given recent spectroscopic measurements with an accuracy of 10 kHz, this correction is necessary to achieve sub-MHz agreement between theory and experiment.
format Preprint
id arxiv_https___arxiv_org_abs_2511_07053
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Electron-nucleus Araki-Sucher correction in the hydrogen molecule isotopologues
Komasa, Jacek
Chemical Physics
The quantum electrodynamic Araki-Sucher correction arising from the interaction between electrons and nuclei is calculated for rovibrational energy levels of the hydrogen molecule and its isotopologues. The corresponding expectation value $\langle r_{en}^{-3}\rangle$ is evaluated across a wide range of internuclear distances using the Born-Oppenheimer approximation. The electronic wave function is represented as a linear combination of explicitly correlated Gaussian basis functions. This correction contributes approximately tenths of a megahertz (about $10^{-5}$cm$^{-1}$) to the dissociation energy of rovibrational levels and to the transitions between them. Given recent spectroscopic measurements with an accuracy of 10 kHz, this correction is necessary to achieve sub-MHz agreement between theory and experiment.
title Electron-nucleus Araki-Sucher correction in the hydrogen molecule isotopologues
topic Chemical Physics
url https://arxiv.org/abs/2511.07053