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New adiabatic representation for three-body scattering problem

Technical Report:

Abstract

A new adiabatic representation of the three-body wave function obtained in terms of the local adiabatic expansions of the Faddeev components is investigated. As a result, we construct a unique adiabatic basis describing all possible channels of the three-body system with inclusion of break-up and rearrangement ones. Moreover, we give a complete classification of the basis states and the corresponding surface functions. The implementation of simple geometrical and spectral arguments allows us to work out a global adiabatic approach to the three-body scattering problem for the class of pair short-range potentials. Therein we formulate the three-body scattering problem by consistently reducing it to the multichannel radial and parametric quasiangular ones, including the correct boundary conditions with account of break-up and rearrangement processes. We also state the inverse three-body problem. 25 refs.
Publication Date:
Dec 31, 1991
Product Type:
Technical Report
Report Number:
JINR-E-4-91-379
Reference Number:
SCA: 661100; PA: AIX-24:008093; SN: 93000932834
Resource Relation:
Other Information: PBD: 1991
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; THREE-BODY PROBLEM; ADIABATIC APPROXIMATION; BOUNDARY CONDITIONS; EIGENVALUES; FADDEEV EQUATIONS; HAMILTONIANS; INVERSE SCATTERING PROBLEM; S MATRIX; SCATTERING AMPLITUDES; SCHROEDINGER EQUATION; TRANSITION AMPLITUDES; WAVE FUNCTIONS; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10119410
Research Organizations:
Joint Inst. for Nuclear Research, Dubna (Russian Federation). Lab. of Theoretical Physics
Country of Origin:
JINR
Language:
English
Other Identifying Numbers:
Other: ON: DE93612975; TRN: RU9207067008093
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
[40] p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Markovski, B L, Suz`ko, A A, and Vinitskij, S I. New adiabatic representation for three-body scattering problem. JINR: N. p., 1991. Web.
Markovski, B L, Suz`ko, A A, & Vinitskij, S I. New adiabatic representation for three-body scattering problem. JINR.
Markovski, B L, Suz`ko, A A, and Vinitskij, S I. 1991. "New adiabatic representation for three-body scattering problem." JINR.
@misc{etde_10119410,
title = {New adiabatic representation for three-body scattering problem}
author = {Markovski, B L, Suz`ko, A A, and Vinitskij, S I}
abstractNote = {A new adiabatic representation of the three-body wave function obtained in terms of the local adiabatic expansions of the Faddeev components is investigated. As a result, we construct a unique adiabatic basis describing all possible channels of the three-body system with inclusion of break-up and rearrangement ones. Moreover, we give a complete classification of the basis states and the corresponding surface functions. The implementation of simple geometrical and spectral arguments allows us to work out a global adiabatic approach to the three-body scattering problem for the class of pair short-range potentials. Therein we formulate the three-body scattering problem by consistently reducing it to the multichannel radial and parametric quasiangular ones, including the correct boundary conditions with account of break-up and rearrangement processes. We also state the inverse three-body problem. 25 refs.}
place = {JINR}
year = {1991}
month = {Dec}
}