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

Journal Article · Mon Sep 01 00:00:00 EDT 2003 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.68.032511· OSTI ID:20640173

Eskandari, M R ^[1]; Mahdavi, M ^[1]

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1. Physics Department, Shiraz University, Shiraz 71454, Iran (Iran, Islamic Republic of)

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.

• OSTI ID: 20640173
• Journal Information: Physical Review. A, Vol. 68, Issue 3; Other Information: DOI: 10.1103/PhysRevA.68.032511; (c) 2003 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ADIABATIC APPROXIMATION
BINDING ENERGY
BOUND STATE
EIGENFUNCTIONS
EIGENVALUES
EXPANSION
GROUND STATES
MUONIC MOLECULES
PARTIAL WAVES
THREE-BODY PROBLEM
TWO-BODY PROBLEM
VARIATIONAL METHODS