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Chiral Solitons in a Current Coupled Schrödinger Equation With Self Interaction

arXiv:cond-mat/9808239 · doi:10.1103/PhysRevD.58.107703

Abstract

Recently non-topological chiral soliton solutions were obtained in a derivatively coupled non-linear Schrödinger model in 1+1 dimensions. We extend the analysis to include a more general self-coupling potential (which includes the previous cases) and find chiral soliton solutions. Interestingly even the magnitude of the velocity is found to be fixed. Energy and U(1) charge associated with this non-topological chiral solitons are also obtained.

8 pages, no figure, to appear in Phys. Rev. D