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Precision spectroscopy of the fine structure in the a3Σu+(ν=0) and c3Σg+(ν=4) states of the helium dimer

V. Wirth and M. Holdener

F. Merkt*

  • Institute of Molecular Physical Science, ETH Zurich, Zurich, Switzerland

  • Institute of Molecular Physical Science, ETH Zurich, Zurich, Switzerland; Quantum Center, ETH Zurich, Zurich, Switzerland; and Department of Physics, ETH Zurich, Zurich, Switzerland

  • *Contact author: frederic.merkt@phys.chem.ethz.ch

Phys. Rev. A 112, 032807 – Published 15 September, 2025

DOI: https://doi.org/10.1103/g7sb-44d6

Abstract

With four electrons, He2 is one of very few molecules for which first-principles quantum-chemical calculations that include the treatment of nonadiabatic, relativistic, and quantum-electrodynamics corrections are possible. Precise spectroscopic measurements are needed as references to test these calculations. We report here on a spectroscopic measurement of the c3Σg+←a3Σu+ electronic transition of He24 at a precision (Δν/ν) of 2.5×10−10 and with full resolution of the rotational, spin-spin, and spin-rotational fine structures. The focus of the investigation is placed on the measurement and analysis of transitions to the rotational levels of the c3Σg+(v=4) state, which are located energetically above the He(1S01)+He(2S13) dissociation limit and can decay by tunneling predissociation through a barrier in the potential of the c state. The new data include a full set of the energy levels of the a3Σu+(v=0) and c3Σg+(v=4) states with rotational quantum numbers N up to 9 and 10, respectively, and full sets of fine-structure intervals in these levels for comparison with the results of first-principles calculations carried out in a parallel investigation [Rácsai, Jeszenszki, Margócsy, and Mátyus, arXiv:2506.23879v1 [physics.chem-ph]. The new data were combined with data from earlier measurements of the spectrum of the c−a band system of He24 to derive full sets of molecular constants for the a3Σu+(v=0) and c3Σg+(v=4) states with much improved precision over previous experimental results. A pronounced broadening of the linewidths of the transitions to the c3Σg+(v=4,N=10) fine-structure levels is attributed to tunneling predissociation through a barrier in the potential of the c state and is quantitatively accounted for by calculations of the predissociation widths.

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