Scattering of Solitons in Derivative Nonlinear Schrödinger Model

Abstract

We show that the chiral soliton model recently introduced by Aglietti et al. can be made integrable by adding an attractive potential with a fixed coefficient. The modified model is equivalent to the derivative nonlinear Schrödinger model which does not possess parity and Galilean invariance. We obtain explicit one and two classical soliton solutions and show that in the weak coupling limit, they correctly reproduce the bound state energy as well as the time delay of two-body quantum mechanics of the model.

8 pages, Latex

References in corpus (2)

• Anyons and Chiral Solitons on a Line
• 1D generalized statistics gas: A gauge theory approach

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• Quantum bound states for a derivative nonlinear Schrodinger model and number theory
• Clusters of bound particles in the derivative delta-function Bose gas
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