Leading asymptotic terms of the three-body Coulomb scattering wave function

Journal Article · Sun Jan 15 04:00:00 EST 2006 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.73.0· OSTI ID:20786717

Mukhamedzhanov, A M; Pirlepesov, F ^[1]; Kadyrov, A S ^[2]

---

1. Cyclotron Institute, Texas A and M University, College Station, Texas 77843 (United States)
2. Centre for Atomic, Molecular and Surface Physics, Division of Science and Engineering, Murdoch University, Perth 6150 (Australia)

The asymptotic wave function derived by Alt and Mukhamedzhanov [Phys. Rev. A47, 2004 (1993)] and Mukhamedzhanov and Lieber [Phys. Rev. A54, 3078 (1996)] has been refined in the region where the pair ({beta},{gamma}) remains close to each other while the third particle {alpha} is far away from them ({rho}{sub {alpha}}{yields}{infinity},r{sub {alpha}}/{rho}{sub {alpha}}{yields}0). The improved wave function satisfies the Schroedinger equation up to the terms of order O(1/{rho}{sub {alpha}}{sup 3}), provides the leading asymptotic terms of the three-body scattering wave function with Coulomb interactions, and gives further insight into the continuum behavior of the three-charged-particle wave function, and helps to obtain the 3{yields}3 scattered wave. This opens up further ways of solving and analyzing the three-body Schroedinger equation by numerical means.

• OSTI ID: 20786717
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 1 Vol. 73; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
CHARGED PARTICLES
COULOMB SCATTERING
POTENTIAL SCATTERING
S MATRIX
SCHROEDINGER EQUATION
THREE-BODY PROBLEM
WAVE FUNCTIONS