Complete Feshbach-type calculations of energy positions and widths of autoionizing states in Li-like atoms

Journal Article · Sun Aug 15 04:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.022501· OSTI ID:21448484

Cardona, Juan Carlos; Sanz-Vicario, Jose Luis ^[1]; Martin, Fernando ^[2]

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1. Grupo de Fisica Atomica y Molecular, Instituto de Fisica, Universidad de Antioquia, Medellin (Colombia)
2. Departamento de Quimica, Modulo 13, Universidad Autonoma de Madrid, E-28049 Madrid (Spain)

Applications of the Feshbach formalism to systems of more than two active electrons are very scarce due to practical limitations in the construction of the projection operators P and Q that are inherent to the theory. As a consequence, most previous applications rely on the use of approximate quasiprojection operators, whose theoretical justification is not yet clear. In this work, an implementation of the Feshbach formalism for three-electron atoms is presented that includes all the ingredients of the original formalism. Energy positions and autoionization widths of the lowest {sup 2}S{sup e}, {sup 2}P{sup o}, and {sup 2}D{sup e} autoionizing states of Li and Ne{sup 7+} have been evaluated. The results show that the use of quasiprojection operators is justified for the evaluation of resonant positions. However, for the {sup 2}S{sup e} states of Li, the use of quasiprojection operators can lead to errors in the autoionization widths of the order of 100%.

• OSTI ID: 21448484
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 82; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ALKALI METALS
APPROXIMATIONS
ATOMS
AUTOIONIZATION
CALCULATION METHODS
CHARGED PARTICLES
D STATES
ELECTRONS
ELEMENTARY PARTICLES
ELEMENTS
ENERGY LEVELS
FERMIONS
IONIZATION
IONS
LEPTONS
LITHIUM
MATHEMATICAL OPERATORS
METALS
MULTICHARGED IONS
NEON IONS
P STATES
PROJECTION OPERATORS
S STATES