He{sub 2}{sup 2+} molecular ion can exist in a magnetic field

Journal Article · Fri Dec 15 04:00:00 EST 2006 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.74.063419· OSTI ID:20976512

Turbiner, A V; Guevara, N L ^[1]

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1. Instituto de Ciencias Nucleares, Universidad Nacional Autonoma de Mexico, Apartado Postal 70-543, 04510 Mexico, D.F. (Mexico)

We present a detailed study of the ground state of the Coulomb system ({alpha}{alpha}ee) which corresponds to the He{sub 2}{sup 2+} molecular ion in a magnetic field B=0-4.414x10{sup 13} G in parallel configuration (it is assumed that infinitely massive {alpha} particles are situated along a magnetic-field line). One uses a variational method, introducing a trial function which includes electronic correlation in the form exp({gamma}r{sub 12}), where {gamma} is a variational parameter. It is shown that the quantum numbers of the lowest total-energy state depend on the magnetic-field strength. This state evolves from the spin-singlet {sup 1}{sigma}{sub g} metastable state at 0{<=}B(less-or-similar sign)0.85 a.u. to a repulsive spin-triplet {sup 3}{sigma}{sub u} state for 0.85(less-or-similar sign)B(less-or-similar sign)1100 a.u. and, finally, to a stable strongly bound spin-triplet {sup 3}{pi}{sub u} state at stronger fields B(greater-or-similar sign)1100 a.u. The lowest vibrational energy for the latter case is calculated.

• OSTI ID: 20976512
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 6 Vol. 74; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ALPHA PARTICLES
COMPUTER CALCULATIONS
CONFIGURATION
CORRELATIONS
FUNCTIONS
GROUND STATES
HELIUM IONS
MAGNETIC FIELDS
METASTABLE STATES
MOLECULAR IONS
QUANTUM NUMBERS
SPIN
TRIPLETS
VARIATIONAL METHODS
VIBRATIONAL STATES