Self-Consistent Coupled Multiple-Scattering Equations for Particle-Particle and Particle-Hole Interactions

Scattering of solitons for coupled wave-particle equations

We establish a long time soliton asymptotics for a nonlinear system of wave equation coupled to a charged particle. The coupled system has a six-dimensional manifold of soliton solutions. We show that in the large time approximation, any solution, with an initial state close to the solitary manifold, is a sum of a soliton and a dispersive wave which is a solution to the free wave equation. It i...

Self-consistent, Poincaré-invariant and unitary three-particle scattering theory.

A covariant formalism for the scattering of three distinguishable scalar particles is developed. Lorentz invariance in the form of velocity conservation and a parametric relation between the twoand three-body off-shell continuations in energy are introduced in order to satisfy unitarity and physical clustering. The three-body invariant probability amplitude is derived from the two-body transiti...

Consistent Three Particle Equations Using Only Two Particle Observables

It is shown that the zero range limit of the Karlsson-Zeiger equations uniquely define unitary three particle amplitudes using only the observable phase shifts and binding energies of the two particle subsystems. Submitted to Physical Review Letters * Work supported by the Department of Energy, contract DE-AC03-76SF00515. Iftwe understood the forces between two hadrons, we should at least be ab...

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...

Self-consistent phases in topological particle theory.