Abstract
Starting from the two-particle Bethe-Salpeter equation in the ladder approximation and integrating over the time component of momentum, three dimensional scattering integral equations satisfying constrains of relativistic unitarity and covariance are rederived. These equations were first derived by Weinberg and by Blankenbecler and Sugar. These two-particle equations are shown to be related by a transformation of variables. Hence it is shown to perform and relate dynamical calculation using these two equations. Similarly, starting from the Bethe-Salpeter-Faddeev equation for the three-particle system and integrating over the time component of momentum, several three dimensional three-particle scattering equations satisfying constraints of relativistic unitary and covariance are derived. Two of these three-particle equations are related by a transformation of variables as in the two-particle case. The three-particle equations obtained are very practical and suitable for performing relativistic scattering calculations. (author).
Adhikari, S K;
Tomio, L;
[1]
Frederico, T
[2]
- Instituto de Fisica Teorica (IFT), Sao Paulo, SP (Brazil)
- Centro Tecnico Aeroespacial (CTA-IEAv), Sao Jose dos Campos, SP (Brazil). Inst. de Estudos Avancados
Citation Formats
Adhikari, S K, Tomio, L, and Frederico, T.
Relativistic three-particle dynamical equations: I. Theoretical development.
Brazil: N. p.,
1993.
Web.
Adhikari, S K, Tomio, L, & Frederico, T.
Relativistic three-particle dynamical equations: I. Theoretical development.
Brazil.
Adhikari, S K, Tomio, L, and Frederico, T.
1993.
"Relativistic three-particle dynamical equations: I. Theoretical development."
Brazil.
@misc{etde_10130693,
title = {Relativistic three-particle dynamical equations: I. Theoretical development}
author = {Adhikari, S K, Tomio, L, and Frederico, T}
abstractNote = {Starting from the two-particle Bethe-Salpeter equation in the ladder approximation and integrating over the time component of momentum, three dimensional scattering integral equations satisfying constrains of relativistic unitarity and covariance are rederived. These equations were first derived by Weinberg and by Blankenbecler and Sugar. These two-particle equations are shown to be related by a transformation of variables. Hence it is shown to perform and relate dynamical calculation using these two equations. Similarly, starting from the Bethe-Salpeter-Faddeev equation for the three-particle system and integrating over the time component of momentum, several three dimensional three-particle scattering equations satisfying constraints of relativistic unitary and covariance are derived. Two of these three-particle equations are related by a transformation of variables as in the two-particle case. The three-particle equations obtained are very practical and suitable for performing relativistic scattering calculations. (author).}
place = {Brazil}
year = {1993}
month = {Nov}
}
title = {Relativistic three-particle dynamical equations: I. Theoretical development}
author = {Adhikari, S K, Tomio, L, and Frederico, T}
abstractNote = {Starting from the two-particle Bethe-Salpeter equation in the ladder approximation and integrating over the time component of momentum, three dimensional scattering integral equations satisfying constrains of relativistic unitarity and covariance are rederived. These equations were first derived by Weinberg and by Blankenbecler and Sugar. These two-particle equations are shown to be related by a transformation of variables. Hence it is shown to perform and relate dynamical calculation using these two equations. Similarly, starting from the Bethe-Salpeter-Faddeev equation for the three-particle system and integrating over the time component of momentum, several three dimensional three-particle scattering equations satisfying constraints of relativistic unitary and covariance are derived. Two of these three-particle equations are related by a transformation of variables as in the two-particle case. The three-particle equations obtained are very practical and suitable for performing relativistic scattering calculations. (author).}
place = {Brazil}
year = {1993}
month = {Nov}
}