The scattering matrix from bound state solutions

K-Matrix Formalism for Three-Body Scattering and Bound-State Scattering

In this paper we introduce K matrix for three-body scattering and develop the K-matrix formalism corresponding to Faddeev's T-matrix formalism.l) In a previous paper ) (which is referred to, hereinafter, as A), brief but extensive explanations have been given for Faddeev's T-matrix formalism. The K-matrix formalism will be described in parallel with it. The symbols in A are also used here witho...

Scattering and bound-state solutions to the wave equation for one electron in the presence of a physical dipole

Static scattering from polyelectrolyte solutions

2014 The static scattering intensity from a system composed of charged, coiled polyions, counterions and coions is investigated theoretically. The polyion configuration is described by a wormlike chain form factor having a persistence length and an excluded volume parameter obtained from Odijk’s theory. Counterion condensation is accounted for in both, the interactions between polymer segments ...

Magnon Bound-state Scattering in Gauge and String Theory

It has been shown that, in the infinite length limit, the magnons of the gauge theory spin chain can form bound states carrying one finite and one strictly infinite R-charge. These bound states have been argued to be associated to simple poles of the multi-particle scattering matrix and to world sheet solitons carrying the same charges. Classically, they can be mapped to the solitons of the com...

Electromagnetic scattering from relativistic bound states.

The quasipotential formalism for elastic scattering from relativistic bound states is formulated based on the instant constraint in the Breit frame. The quasipotential electromagnetic current is derived from Mandelstam's vepoint kernel and obeys a two-body Ward identity. Breit-frame wave functions are obtained directly by solving integral equations with nonzero total threemomentum, thus accompl...