Muonic three-body Coulomb systems in the hyperspherical approach
- Physikalisches Institut, Universitaet Bonn, D-53115 Bonn (Germany)
- Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna (Russia)
Muonic three-body bound states and resonances are treated within a hyperspherical adiabatic expansion scheme. A new method for determining the basis functions of this expansion is developed: decomposing these functions into Faddeev-type components, an equivalent treatment of all two-body contributions, and thus the correct asymptotics, are guaranteed. This approach is characterized by its high symmetry and a considerable reduction of the numerical effort. Using partial wave and {ital B}-spline expansions for the components, wave functions and energies of the {ital dt}{mu} and {ital d}{sup 3}He{mu} molecules are calculated in extreme and uncoupled adiabatic approximation. For {ital dt}{mu} good agreement with alternative calculations, which are based on a much higher number of expansion functions, is found, and the results for the {ital d}{sup 3}He{mu} system are rather close to variational calculations. {copyright} {ital 1996 The American Physical Society.}
- OSTI ID:
- 278509
- Journal Information:
- Physical Review A, Journal Name: Physical Review A Journal Issue: 2 Vol. 53; ISSN 1050-2947; ISSN PLRAAN
- Country of Publication:
- United States
- Language:
- English
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