Nonadiabatic, Relativistic, and Leading-Order QED Corrections for Rovibrational Intervals of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>He</mml:mi></mml:mrow><mml:mprescripts/><mml:none/><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:mmultiscripts></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math> (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>X</mml:mi><mml:mtext> </mml:mtext><mml:msubsup><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">Σ</mml:mi></mml:mrow><mml:mprescripts/><mml:none/><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:mmultiscripts></mml:mrow><mml:mrow><mml:mi>u</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math>)
Dávid Ferenc, V. I. Korobov, Edit Mátyus
Abstract
The rovibrational intervals of the ^{4}He_{2}^{+} molecular ion in its X ^{2}Σ_{u}^{+} ground electronic state are computed by including the nonadiabatic, relativistic, and leading-order quantum-electrodynamics corrections. Good agreement of theory and experiment is observed for the rotational excitation series of the vibrational ground state and the fundamental vibration. The lowest-energy rotational interval is computed to be 70.937 69(10) cm^{-1} in agreement with the most recently reported experimental value, 70.937 589(23)(60)_{sys} cm^{-1} [L. Semeria et al., Phys. Rev. Lett. 124, 213001 (2020)PRLTAO0031-900710.1103/PhysRevLett.124.213001].
Topics & Concepts
Rotational–vibrational spectroscopyPhysicsAdiabatic processAtomic physicsGround stateOrder (exchange)ExcitationQuantum mechanicsExcited stateEconomicsFinanceCold Atom Physics and Bose-Einstein CondensatesAtomic and Molecular PhysicsAdvanced Frequency and Time Standards