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A: Fachverband Atomphysik

A 15: Poster I

A 15.20: Poster

Dienstag, 12. März 2024, 17:00–19:00, Tent A

Precise FEM-solution of Dirac equation and the calculation of the electron bound-g-factor for H₂⁺ molecular ion. — •Ossama Kullie — 1 Theoretical Physics, Institute of Physics, University of Kassel

A new generation of experiments is under way aiming at performing high-resolution spectroscopy of molecular hydrogen ions in Penning traps. In some of these traps, the internal state of the molecule is detected via the spin state, using electron spin resonance excitation. In order to perform this excitation, knowledge of the resonance frequency is required. The frequency depends on the bound-g-factor of the electron in the molecule. We calculate this g-factor by perturbatively evaluating the Zeeman energy of the electron in a weak magnetic field. Our FEM-solution of the two-center Dirac equation using 2-spinor minmax method, is highly accurate and the resulting wave function is used to calculate the electron bound-g-factor for H₂⁺ molecular ion. We present results for the two (magnetic) field orientations, parallel and perpendicular to the molecule orientation (internuclear axis). [1] O. Kullie and S. tchiller, Phys. Rev. A 105, 052801 (2022). [2] O. Kullie, J. of Mol. Struc., submitted (2023). [2] O. Kullie and S. Schiller, in progress.

Keywords: FEM-solution of the two-center Dirac equation; High precision solution of the Dirac equation; Relativistic effects and QED corrections; Bound-g-factor of the electron; Zeeman effect