Scattering of Solitons in Derivative Nonlinear Schrödinger Model

Details Scattering of Solitons in Derivative Nonlinear Schrödinger Model Scattering of Solitons in Derivative Nonlinear Schrödinger Model

1996-07-31

arxiv.org/abs/hep-th/9607242v1

Phys.Lett. B388 (1996) 621-625

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, Latex

Scientific paper

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 Schr\"{o}dinger 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.

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