Single-channel quantum-defect theory for the description of doubly excited states of helium

Journal Article · Sat Oct 31 23:00:00 EST 1992 · Physical Review A. General Physics; (United States)

DOI:https://doi.org/10.1103/PhysRevA.46.5489· OSTI ID:6948064

Sun, J Q; Lin, C D ^[1]

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1. Department of Physics, Kansas State University, Manhattan, Kansas 66506-2601 (United States)

A single-channel quantum-defect theory for the doubly excited states of helium is formulated in hyperspherical coordinates. For doubly excited states associated with each excited He{sup +}({ital N}) threshold, the outer electron experiences asymptotically a combined Coulomb and dipole potential, {minus}1/{ital R}+{alpha}/{ital R}{sup 2}. The two independent solutions in the asymptotic region for energies below and above the threshold are explicitly given for both the attractive and the repulsive dipole potentials. Quantum defects for {sup 1}{ital P}{degree} doubly excited states of five channels in the {ital N}=3 manifold and of the dominant channels below the {ital N}=2, 3, and 4 thresholds of He{sup +} are calculated in a single-channel hyperspherical potential, and the results are compared with quantum defects extracted from other theoretical calculations and recent experimental results. Procedures for obtaining diabatic curves from the adiabatic potentials are also discussed.

• OSTI ID: 6948064
• Journal Information: Physical Review A. General Physics; (United States), Journal Name: Physical Review A. General Physics; (United States) Vol. 46:9; ISSN 1050-2947; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

664200* -- Spectra of Atoms & Molecules & their Interactions with Photons-- (1992-)
74 ATOMIC AND MOLECULAR PHYSICS
ASYMPTOTIC SOLUTIONS
CHARGED PARTICLES
COULOMB FIELD
DIABATIC APPROXIMATION
DIPOLES
ELECTRIC FIELDS
ENERGY LEVELS
EXCITED STATES
FUNCTIONS
HELIUM IONS
IONS
MULTIPOLES
WAVE FUNCTIONS