Relativistic Three-Particle Dynamical Equations I. Theoretical Development

Minimal Relativistic Three Particle Equations

Relativistic three-particle scattering equations.

We derive a set of relativistic three-particle scattering equations in the three-particle c.m. frame employing a relativistic three-particle propagator suggested long ago by Ahmadzadeh and Tjon in the c.m. frame of a two-particle subsystem. We make the coordinate transformation of this propagator from the c.m. frame of the two-particle subsystem to the three-particle c.m. frame. We also point o...

X iv : n uc l - th / 9 31 10 35 v 2 2 9 N ov 1 99 3 Relativistic three - particle dynamical equations : I . Theoretical development

Starting from the two-particle Bethe-Salpeter equation in the ladder approximation and integrating over the time component of momentum, we rederive three dimensional scattering integral equations satisfying constraints of relativistic unitarity and covariance, first derived by Weinberg and by Blankenbecler and Sugar. These two-particle equations are shown to be related by a transformation of va...

Relativistic particle in a three-dimensional box

Pedro Alberto , Saurya Das , and Elias C. Vagenas 3‡ Departamento de F́ısica and Centro de F́ısica Computacional, Universidade de Coimbra, P-3004-516 Coimbra, Portugal Theoretical Physics Group, Dept of Physics and Astronomy, University of Lethbridge, 4401 University Drive, Lethbridge, Alberta, Canada T1K 3M4 and Research Center for Astronomy and Applied Mathematics, Academy of Athens, Soranou Ef...

Relativistic parsec–scale jets: I. Particle acceleration

We develop a theory of particle acceleration inside relativistic rotating electron-positron force–free jets with spiral magnetic fields. We considered perturbation of the stationary magnetic field structure and found that acceleration takes place in the regions where the Alfvén resonant condition with the eigenmodes in the jet is fulfilled, i.e. where the local Alfvén speed is equal to the phas...