Projection-operator calculations of the lowest e/sup -/-He resonance

Journal Article · Sun Nov 30 23:00:00 EST 1986 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.34.4591· OSTI ID:7104935

Berk, A; Bhatia, A K; Junker, B R; Temkin, A

Results for the lowest (Schulz) autodetaching state of He/sup -/ (1s(2s)/sup 2/) are reported. The calculation utilizes the full projection-operator formalism as explicitly developed by Temkin and Bhatia (Phys. Rev. A 31, 1259 (1985)). Eigenvalues, scrE = , are calculated using projection operators Q depending on increasingly elaborate target wave functions going up to a 10-term Hylleraas-form, and a configuration-interaction total wave function Phi of 40 configurations. Results are well converged, but our best value is --0.13 eV above the experimental position at 19.37 eV. We conclude that the shift (..delta..) in the Feshbach formalism gives a large contribution (relative to the width) to the position E/sub r/ ( = scrE+..delta..). An appendix is devoted to the evaluation of the most complicated type of three-center integral involved in the calculation.

• Research Organization: Atomic Physics Office, Laboratory for Astronomy and Solar Physics, NASA/Goddard Space Flight Center, Greenbelt, Maryland 20771
• OSTI ID: 7104935
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 34:6; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

640302* -- Atomic
Molecular & Chemical Physics-- Atomic & Molecular Properties & Theory
74 ATOMIC AND MOLECULAR PHYSICS
ANIONS
CALCULATION METHODS
CHARGED PARTICLES
EIGENVALUES
ELECTRON ATTACHMENT
FUNCTIONS
HELIUM IONS
IONS
MATHEMATICAL OPERATORS
PROJECTION OPERATORS
RESONANCE
RITZ METHOD
WAVE FUNCTIONS