An improved asymptotic wavefunction for three charged particles in the continuum

Journal Article · Wed May 01 00:00:00 EDT 1996 · Bulletin of the American Physical Society

OSTI ID:394154

Lieber, M; Mukhamedzhanov, A M ^[1]

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1. Texas A&M Univ., College Station, TX (United States)

The authors present an improved version of the wave function derived by Alt and Mukhamedzhanov which satisfies the Schroedinger equation up to terms of order O(1/p{sub {alpha}}{sup 2}) in the region where the pair {alpha} = ({beta} {gamma}) remains close while the third particle {alpha} moves to infinity ({rho}{sub {alpha}} {r_arrow} {infinity}). The new wavefunction contains all zeroth and first order terms O(1/p{sub {alpha}}) and matches smoothly to Redmond`s asymptotic function and the Redmond-Merkuriev wave function, when all three particles are well separated.

• DOE Contract Number: FG03-93ER40773
• OSTI ID: 394154
• Report Number(s): CONF-9605105--
• Journal Information: Bulletin of the American Physical Society, Journal Name: Bulletin of the American Physical Society Journal Issue: 3 Vol. 41; ISSN BAPSA6; ISSN 0003-0503
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ASYMPTOTIC SOLUTIONS
CHARGED PARTICLES
THREE-BODY PROBLEM
WAVE FUNCTIONS