Calculation of binding energy for muonic three-body systems in the hyperspherical approach

Muonic three-body bound states are investigated within a hyperspherical adiabatic expansion representation. We have used a method for determining the basis functions of the expansion, which consists of decomposing these functions into Faddeev-type components and an equivalent treatment of all two-bo...

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Bibliographic Details
Published in:Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2003-09, Vol.68 (3), Article 032511
Main Authors: Eskandari, M. R., Mahdavi, M.
Format: Article
Language:English
Subjects:
ADIABATIC APPROXIMATION
ATOMIC AND MOLECULAR PHYSICS
BINDING ENERGY
BOUND STATE
EIGENFUNCTIONS
EIGENVALUES
EXPANSION
GROUND STATES
MUONIC MOLECULES
PARTIAL WAVES
THREE-BODY PROBLEM
TWO-BODY PROBLEM
VARIATIONAL METHODS
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Summary:Muonic three-body bound states are investigated within a hyperspherical adiabatic expansion representation. We have used a method for determining the basis functions of the expansion, which consists of decomposing these functions into Faddeev-type components and an equivalent treatment of all two-body contributions. Through this approach, and using partial waves for components, the binding energy of the ground state and the lowest eigenpotentials for the muonic molecules (pd{mu},pt{mu},dt{mu}) are calculated in extreme and uncoupled adiabatic approximation. The obtained results are very close to variational calculations.
ISSN:1050-2947
1094-1622
DOI:10.1103/PhysRevA.68.032511