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).
Adhikari, S K;
[1]
Gibson, W L
[2]
- Instituto de Fisica Teorica (IFT), Sao Paulo, SP (Brazil)
- Sydney Univ. (Australia). School of Mathematics and Statistics
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}
}
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}
}