dorsal/arxiv
View SchemaThe $HeH^+$ molecular ion in a magnetic field
| Authors | A. V. Turbiner, N. L. Guevara |
|---|---|
| Categories | |
| ArXiv ID | physics/0703090 |
| URL | https://arxiv.org/abs/physics/0703090 |
| DOI | 10.1088/0953-4075/40/16/006 |
Abstract
A detailed study of the low-lying electronic states ${}^1\Si,{}^3\Si,{}^3\Pi,{}^3\De$ of the $\rm{HeH}^+$ molecular ion in parallel to a magnetic field configuration (when $\al$-particle and proton are situated on the same magnetic line) is carried out for $B=0-4.414\times 10^{13}$ G in the Born-Oppenheimer approximation. The variational method is employed using a physically adequate trial function. It is shown that the parallel configuration is stable with respect to small deviations for $\Si$-states. The quantum numbers of the ground state depend on the magnetic field strength. The ground state evolves from the spin-singlet ${}^1\Si$ state for small magnetic fields $B\lesssim 0.5 $ a.u. to the spin-triplet ${}^3\Si$ unbound state for intermediate fields and to the spin-triplet strongly bound $^3\Pi$ state for $B \gtrsim 15 $ a.u. When the $\rm{HeH}^+$ molecular ion exists, it is stable with respect to a dissociation.
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"abstract": "A detailed study of the low-lying electronic states\n${}^1\\Si,{}^3\\Si,{}^3\\Pi,{}^3\\De$ of the $\\rm{HeH}^+$ molecular ion in parallel\nto a magnetic field configuration (when $\\al$-particle and proton are situated\non the same magnetic line) is carried out for $B=0-4.414\\times 10^{13}$ G in\nthe Born-Oppenheimer approximation. The variational method is employed using a\nphysically adequate trial function. It is shown that the parallel configuration\nis stable with respect to small deviations for $\\Si$-states. The quantum\nnumbers of the ground state depend on the magnetic field strength. The ground\nstate evolves from the spin-singlet ${}^1\\Si$ state for small magnetic fields\n$B\\lesssim 0.5 $ a.u. to the spin-triplet ${}^3\\Si$ unbound state for\nintermediate fields and to the spin-triplet strongly bound $^3\\Pi$ state for $B\n\\gtrsim 15 $ a.u. When the $\\rm{HeH}^+$ molecular ion exists, it is stable with\nrespect to a dissociation.",
"arxiv_id": "physics/0703090",
"authors": [
"A. V. Turbiner",
"N. L. Guevara"
],
"categories": [
"physics.atom-ph"
],
"doi": "10.1088/0953-4075/40/16/006",
"title": "The $HeH^+$ molecular ion in a magnetic field",
"url": "https://arxiv.org/abs/physics/0703090"
},
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