Effect of antiprotons on hydrogen-like ions in external magnetic fields

• URL: http://arxiv.org/abs/2407.02105v1
• Date: Tue, 2 Jul 2024 09:45:32 GMT
• Title: Effect of antiprotons on hydrogen-like ions in external magnetic fields
• Authors: A. Anikin, A. Danilov, D. Glazov, A. Kotov, D. Solovyev,
• Abstract summary: We investigate quasi-molecular compounds consisting of one antiproton and one hydrogen-like ion. For the calculations, the Dirac equation with two-center potential is solved numerically using the dual-kinetically balanced finite-basis-set method.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In the present work, quasi-molecular compounds consisting of one antiproton ($\bar{p}$) and one hydrogen-like ion are investigated: $\mathrm{He}^{+} - \bar{p}$, $\mathrm{Li}^{2+} - \bar{p}$, $\mathrm{C}^{5+} - \bar{p}$, $\mathrm{S}^{15+} - \bar{p}$, $\mathrm{Kr}^{35+} - \bar{p}$, $\mathrm{Ho}^{66+} - \bar{p}$, $\mathrm{Re}^{74+} - \bar{p}$, $\mathrm{U}^{91+} - \bar{p}$. For the calculations, the Dirac equation with two-center potential is solved numerically using the dual-kinetically balanced finite-basis-set method adapted to systems with axial symmetry (A-DKB). Adiabatic potential curves are constructed for the ground state of the above quasi-molecular compounds in the framework of the A-DKB approach. Calculations were also performed for the case of an external magnetic field (the field is taken into account non-perturbatively). Zeeman shifts of the quasi-molecular terms are obtained for a homogeneous magnetic field with a strength of the laboratory order (up to 100 Tesla) directed along the axis of the molecule.

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