Rovibrational computations for the He$_2$ a $^3Σ_\mathrm{u}^+$ state including non-adiabatic, relativistic, and QED corrections

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Main Authors: Margócsy, Ádám, Rácsai, Balázs, Jeszenszki, Péter, Mátyus, Edit
Format: Preprint
Published: 2025
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author Margócsy, Ádám
Rácsai, Balázs
Jeszenszki, Péter
Mátyus, Edit
author_facet Margócsy, Ádám
Rácsai, Balázs
Jeszenszki, Péter
Mátyus, Edit
contents A potential energy curve (PEC) accurate to a fraction of 1 ppm ($1:10^6$) is computed for the $^3Σ_\mathrm{u}^+$ state of He$_2$ endowed with relativistic and QED corrections. The nuclear Schrödinger equation is solved on this PEC with diagonal Born-Oppenheimer and non-adiabatic mass corrections to obtain highly accurate rotational-vibrational levels. The computed rovibrational intervals and fine-structure splittings, spanning over several orders of magnitude in energy, are found to be in remarkable agreement with available high-resolution spectroscopy data.
format Preprint
id arxiv_https___arxiv_org_abs_2506_19116
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Rovibrational computations for the He$_2$ a $^3Σ_\mathrm{u}^+$ state including non-adiabatic, relativistic, and QED corrections
Margócsy, Ádám
Rácsai, Balázs
Jeszenszki, Péter
Mátyus, Edit
Chemical Physics
A potential energy curve (PEC) accurate to a fraction of 1 ppm ($1:10^6$) is computed for the $^3Σ_\mathrm{u}^+$ state of He$_2$ endowed with relativistic and QED corrections. The nuclear Schrödinger equation is solved on this PEC with diagonal Born-Oppenheimer and non-adiabatic mass corrections to obtain highly accurate rotational-vibrational levels. The computed rovibrational intervals and fine-structure splittings, spanning over several orders of magnitude in energy, are found to be in remarkable agreement with available high-resolution spectroscopy data.
title Rovibrational computations for the He$_2$ a $^3Σ_\mathrm{u}^+$ state including non-adiabatic, relativistic, and QED corrections
topic Chemical Physics
url https://arxiv.org/abs/2506.19116