Widths of the doubly excited resonances of two-electron atoms below the [ital n]=2 threshold

Journal Article · Thu Dec 31 23:00:00 EST 1992 · Physical Review A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.47.705· OSTI ID:7118978

Chang, T N ^[1]

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1. Department of Physics, University of Southern California, Los Angeles, California 90089-0484 (United States)

We present an alternative theoretical procedure for the positions and widths of the doubly excited resonances of a two-electron atom based on a configuration-interaction procedure for [ital continuum] by using a [ital B]-spline-based finite basis set. More specifically, by examining the energy variation of the probability density corresponding to the singly excited ionization channel, the resonant energy [ital E][sub [ital r]] of the doubly excited autoionization state can be directly linked to the energy at the minimum probability density. The width of the resonance can be identified with the energy separation between two energies, which are located on the opposite side of the center of the resonance and each corresponds to a probability density twice the minimum value at [ital E][sub [ital r]]. The effectiveness of this procedure is demonstrated by the excellent agreement between our calculated widths of the Feshbach resonance for H[sup [minus]] and He below the [ital n]=2 threshold and the ones from the most accurate existing theoretical calculations.

• OSTI ID: 7118978
• Journal Information: Physical Review A; (United States), Journal Name: Physical Review A; (United States) Vol. 47:1; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

664100* -- Theory of Electronic Structure of Atoms & Molecules-- (1992-)
74 ATOMIC AND MOLECULAR PHYSICS
ABSORPTION
ATOMS
CALCULATION METHODS
ELEMENTS
ENERGY
ENERGY LEVELS
EXCITED STATES
FLUIDS
GASES
HELIUM
ISOELECTRONIC ATOMS
LEVEL WIDTHS
MANY-BODY PROBLEM
NONMETALS
RARE GASES
RESONANCE ABSORPTION
SORPTION
THRESHOLD ENERGY
TWO-BODY PROBLEM