High-precision quantum dynamics of He2 over the b 3Πg–c electronic subspace by including non-adiabatic, relativistic, and QED corrections and couplings

Relativistic, quantum electrodynamics, and non-adiabatic corrections and couplings are computed for the b 3Πg and electronic states of the helium dimer. The underlying Born–Oppenheimer potential energy curves are converged to 1 ppm (1: 106) relative precision using a variational explicitly correlated Gaussian approach. The quantum nuclear motion is computed over the b 3Πg– (and B 1Πg– ⁠) 9-(12-)dimensional electronic-spin subspace coupled by non-adiabatic and relativistic (magnetic) interactions. The electron’s anomalous magnetic moment is also included; its effect is expected to be visible in high-resolution experiments. The computed rovibronic energy intervals are in excellent agreement with the available high-resolution spectroscopy data, including the rovibronic b 3Πg-state fine structure. Fine-structure splittings are also predicted for the levels, which have not been fully resolved experimentally, yet.

Publication Details

Journal
Repository of the Academy's Library (Library of the Hungarian Academy of Sciences)
Published
2025-08-28
Primary Topic
Atomic and Molecular Physics
Type
article
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article

High-precision quantum dynamics of He2 over the b 3Πg–c electronic subspace by including non-adiabatic, relativistic, and QED corrections and couplings

Repository of the Academy's Library (Library of the Hungarian Academy of Sciences)
Atomic and Molecular Physics
article

High-precision quantum dynamics of He2 over the b 3Πg–c electronic subspace by including non-adiabatic, relativistic, and QED corrections and couplings

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Abstract

Relativistic, quantum electrodynamics, and non-adiabatic corrections and couplings are computed for the b 3Πg and electronic states of the helium dimer. The underlying Born–Oppenheimer potential energy curves are converged to 1 ppm (1: 106) relative precision using a variational explicitly correlated Gaussian approach. The quantum nuclear motion is computed over the b 3Πg– (and B 1Πg– ⁠) 9-(12-)dimensional electronic-spin subspace coupled by non-adiabatic and relativistic (magnetic) interactions. The electron’s anomalous magnetic moment is also included; its effect is expected to be visible in high-resolution experiments. The computed rovibronic energy intervals are in excellent agreement with the available high-resolution spectroscopy data, including the rovibronic b 3Πg-state fine structure. Fine-structure splittings are also predicted for the levels, which have not been fully resolved experimentally, yet.

Repository of the Academy's Library (Library of the Hungarian Academy of Sciences)
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High-precision quantum dynamics of He2 over the b 3Πg–c electronic subspace by including non-adiabatic, relativistic, and QED corrections and couplings · Repository of the Academy's Library (Library of the Hungarian Academy of Sciences) (2025) | TGRS Research Map | TGRS