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Low-energy behaviour of few-particle scattering amplitudes in two dimensions

Technical Report:

Abstract

A study of the analytic behavior of different few-particle scattering amplitudes at low energies in two space dimensions is presented. Such a study is of use in modeling and understanding different is presented. Such a study is of use in modeling and understanding different few-particle processes at low energies. A detailed discussion of the energy and the momentum dependence of the partial-wave on-the-energy-shell and off-the-energy-shell two-particle t matrices is given. These t matrix element tend to zero as the energy and momentum variables tend to zero. he multiple scattering series is used to show that the connected three-to-three amplitudes diverge in the low energy-momentum limit. Unitarity relations are used logarithmic singularities at the m particle breakup threshold. The sub energy singularity in the two-to-three amplitudes is also studied, and comments are made on some applications of the present study in different problems of physical interest. (author).
Authors:
Adhikari, S K; [1]  Gibson, W L [2] 
  1. Instituto de Fisica Teorica (IFT), Sao Paulo, SP (Brazil)
  2. Sydney Univ. (Australia). School of Mathematics and Statistics
Publication Date:
Jun 01, 1992
Product Type:
Technical Report
Report Number:
IFT-P-024/92
Reference Number:
SCA: 661100; PA: AIX-24:003165; SN: 93000913683
Resource Relation:
Other Information: PBD: Jun 1992
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; SCATTERING AMPLITUDES; PARTIAL WAVES; SINGULARITY; ENERGY; GREEN FUNCTION; LIPPMANN-SCHWINGER EQUATION; MULTIPLE SCATTERING; S MATRIX; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10108971
Research Organizations:
Instituto de Fisica Teorica (IFT), Sao Paulo, SP (Brazil)
Country of Origin:
Brazil
Language:
English
Other Identifying Numbers:
Other: ON: DE93609834; TRN: BR9230424003165
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
[28] p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Adhikari, S K, and Gibson, W L. Low-energy behaviour of few-particle scattering amplitudes in two dimensions. Brazil: N. p., 1992. Web.
Adhikari, S K, & Gibson, W L. Low-energy behaviour of few-particle scattering amplitudes in two dimensions. Brazil.
Adhikari, S K, and Gibson, W L. 1992. "Low-energy behaviour of few-particle scattering amplitudes in two dimensions." Brazil.
@misc{etde_10108971,
title = {Low-energy behaviour of few-particle scattering amplitudes in two dimensions}
author = {Adhikari, S K, and Gibson, W L}
abstractNote = {A study of the analytic behavior of different few-particle scattering amplitudes at low energies in two space dimensions is presented. Such a study is of use in modeling and understanding different is presented. Such a study is of use in modeling and understanding different few-particle processes at low energies. A detailed discussion of the energy and the momentum dependence of the partial-wave on-the-energy-shell and off-the-energy-shell two-particle t matrices is given. These t matrix element tend to zero as the energy and momentum variables tend to zero. he multiple scattering series is used to show that the connected three-to-three amplitudes diverge in the low energy-momentum limit. Unitarity relations are used logarithmic singularities at the m particle breakup threshold. The sub energy singularity in the two-to-three amplitudes is also studied, and comments are made on some applications of the present study in different problems of physical interest. (author).}
place = {Brazil}
year = {1992}
month = {Jun}
}