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Three-body theory of the effective interaction between a particle and a two-particle bound system

Abstract

Based on the Francis-Watson definition and the Faddeev integral-equation method, the three-body formalism of the effective interaction between a particle and a two-particle bound system has been developed. As an example, a three-body model with interaction chosen in the form of the sum of two pair potentials (namely a short-range (separable) potential and the Coulomb one) is considered. A new non-perturbative three-body method for studying asymptotic behaviour of the polarization potential at large distances of a particle to a two-particle complex is suggested. The formula for the electric dipole polarizability of the two-particle system is derived. (author). 23 refs.
Publication Date:
Dec 31, 1993
Product Type:
Technical Report
Report Number:
ITP-93-24E
Reference Number:
SCA: 663300; PA: AIX-25:020042; EDB-94:041078; ERA-19:013711; NTS-94:015778; SN: 94001160531
Resource Relation:
Other Information: PBD: 1993
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; THREE-BODY PROBLEM; PAIRING INTERACTIONS; ASYMPTOTIC SOLUTIONS; BOUND STATE; COMPOSITE MODELS; COULOMB FIELD; FADDEEV EQUATIONS; HAMILTONIANS; LIPPMANN-SCHWINGER EQUATION; PARTICLES; POLARIZABILITY; SCATTERING; WAVE FUNCTIONS; 663300; NUCLEAR REACTIONS AND SCATTERING, GENERAL
OSTI ID:
10130799
Research Organizations:
AN Ukrainskoj SSR, Kiev (Ukraine). Inst. Teoreticheskoj Fiziki
Country of Origin:
Ukraine
Language:
English
Other Identifying Numbers:
Other: ON: DE94616993; TRN: UA9400078020042
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
28 p.
Announcement Date:
Jul 04, 2005

Citation Formats

Kharchenko, V F, and Shadchin, S A. Three-body theory of the effective interaction between a particle and a two-particle bound system. Ukraine: N. p., 1993. Web.
Kharchenko, V F, & Shadchin, S A. Three-body theory of the effective interaction between a particle and a two-particle bound system. Ukraine.
Kharchenko, V F, and Shadchin, S A. 1993. "Three-body theory of the effective interaction between a particle and a two-particle bound system." Ukraine.
@misc{etde_10130799,
title = {Three-body theory of the effective interaction between a particle and a two-particle bound system}
author = {Kharchenko, V F, and Shadchin, S A}
abstractNote = {Based on the Francis-Watson definition and the Faddeev integral-equation method, the three-body formalism of the effective interaction between a particle and a two-particle bound system has been developed. As an example, a three-body model with interaction chosen in the form of the sum of two pair potentials (namely a short-range (separable) potential and the Coulomb one) is considered. A new non-perturbative three-body method for studying asymptotic behaviour of the polarization potential at large distances of a particle to a two-particle complex is suggested. The formula for the electric dipole polarizability of the two-particle system is derived. (author). 23 refs.}
place = {Ukraine}
year = {1993}
month = {Dec}
}