Relativistic Mechanical Model for Three-Particle System

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...

A Minimal Relativistic Model for the Three Nucleon System*

. A start is made on disentangling relativistic kinematic effects from “three body forces” by presenting a minimal relativistic model in which the internal mesonic degree of freedom is treated on the same footing as the nucleonic degrees of freedom. The meson is not allowed to appear asymptotically, specifying the two-nucleon “off shell” amplitudes which can be used to calculate the three nucle...

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...

Quantum Mechanical Motion of Relativistic Particle in Non-Continuous Spacetime

The quantum mechanical motion of a relativistic particle in a noncontinuous spacetime is investigated. The spacetime model is a dense, rationale subset of two-dimensional Minkowski spacetime. Solutions of the Dirac equation are calculated using a generalized version of Feynman’s checkerboard model. They turn out to be closely related to the continuum propagator.