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

2025/11/10 by Komasa, Jacek
Physics and Astronomy · #Advanced Chemical Physics Studies #Atomic and Molecular Physics #Chemical Physics (physics.chem-ph) #FOS: Physical sciences #Quantum and Classical Electrodynamics

paper · doi:10.48550/arxiv.2511.07053

openalex publication_date 2025/11/10 · openalex created_date 2025/11/12 · openalex updated_date 2026/07/28

Abstract

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 ⟨ ren-3⟩ 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 10-5cm-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.

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