The exotic $H_3^{2+}$ ion in a strong magnetic field. Linear configuration

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dc.creatorTurbiner, A. V.
dc.creatorVieyra, J. C. López
dc.creatorGuevara, N. L.
dc.date2004-06-22
dc.date.accessioned2026-07-07T10:27:14Z
dc.date.available2026-07-07T10:27:14Z
dc.descriptionAn accurate study of the lowest $1σ_g$ and the low-lying excited $1σ_u$, $1π_{u,g}$, $1δ_{g,u}$ electronic states of the exotic molecular ion $H_3^{2+}$ in linear configuration parallel to a magnetic field is carried out. The magnetic field ranges from $10^{10}$ G up to $4.414 \times 10^{13}$ G where non-relativistic considerations are justified. The variational method is exploited and the {\it same} trial function is used for different magnetic fields. It is shown that the states of positive $z$-parity $1σ_g, 1π_u, 1δ_{g}$ are bound states of the $H_3^{2+}$ exotic ion for all magnetic fields studied. We also demonstrate that for magnetic fields $B\gtrsim 2.35\times 10^{12}$ G the potential energy surface well corresponding to the $1σ_g$ state contains at least one longitudinal vibrational state. It is also shown that the negative $z$-parity states $1σ_u, 1π_g, 1δ_{u}$, are purely repulsive in the whole range of magnetic fields studied, $B=10^{10}- 4.414 \times 10^{13}$ G.
dc.description26 pages, 6 figures, 4 tables
dc.identifierhttps://arxiv.org/abs/astro-ph/0406473
dc.identifierhttp://arxiv.org/abs/astro-ph/0406473
dc.identifierPhys.Rev.A72:023403,2005
dc.identifierdoi:10.1103/PhysRevA.72.023403
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/177095
dc.subjectAstrophysics
dc.subjectAtomic Physics
dc.subjectQuantum Physics
dc.titleThe exotic $H_3^{2+}$ ion in a strong magnetic field. Linear configuration
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