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

Fuente: arXiv
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Autores principales: Anikin, A., Danilov, A., Glazov, D., Kotov, A., Solovyev, D.
Formato: Preprint
Publicado: 2024
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author Anikin, A.
Danilov, A.
Glazov, D.
Kotov, A.
Solovyev, D.
author_facet Anikin, A.
Danilov, A.
Glazov, D.
Kotov, A.
Solovyev, D.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2407_02105
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Effect of antiprotons on hydrogen-like ions in external magnetic fields
Anikin, A.
Danilov, A.
Glazov, D.
Kotov, A.
Solovyev, D.
Atomic Physics
Chemical Physics
Quantum Physics
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.
title Effect of antiprotons on hydrogen-like ions in external magnetic fields
topic Atomic Physics
Chemical Physics
Quantum Physics
url https://arxiv.org/abs/2407.02105