Bonn 2025 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 64: Poster – Precision Spectroscopy of Atoms and Ions (joint session A/Q)
Q 64.3: Poster
Thursday, March 13, 2025, 17:00–19:00, Tent
Precise solution of Dirac equation and the calculation of the electron bound-g-factor for H2+ molecular ion — •Ossama Kullie1, Hougo D. Nogueira2, and Jean-Philippe Karr2,3 — 1Mathematics and Natural Sciences. University of Kassel, 34132 Kassel, Germany — 2Laboratoire Kastler Brossel, Sorbonne Université, CNRS, ENS-Université PSL, Collège de France, Paris, France. — 3Université d’Évry-Val d’Essonne, Evry, France
A new generation of experiments is aiming at performing high-resolution spectroscopy of molecular hydrogen ions H2+ in Penning traps [2]. In these experiments the internal state of the molecule is detected via the dependence of spin-flip transition frequencies on vibrational and rotational degrees of freedom. This requires precise knowledge of these transition frequencies, which depend on the g-factor of the bound electron in the molecule. In the present work we calculate the relativistic g-factor using relativistic wave functions obtained by solving the Dirac equation for H2+ with high precision in the Born-Oppenheimer approximation [3,4]. Together with nonadiabatic and recoil corrections at the leading order [5] evaluated by solving the three-body Schrödinger equation [6] as well as leading radiative corrections, these results allow for very accurate predictions of the bound-electron g-factor. [1] M. R. Schenkel et. al. Nat. Phys. 20, 383 (2024). [2] E. G. Myers, PRA 98, 010101(R) (2018). [3] O. Kullie et. al. PRA 105, 052801 (2022). [4] H. D. Nogueira et. al. PRA 105, L060801 (2022). [5] J.-Ph. Karr, PRA 104, 032822 (2021). [6] V. I. Korobov, Mol. Phys. 116, 93 (2018).
Keywords: high-resolution spectroscopy of molecular ions; solution of Dirac equation; bound-g-factor of H2+ molecular ion; Relativistic effect; nonadiabatic and recoil correction