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Remarks on bell-shaped lumps: stability and fermionic modes

arXiv:0803.1458 · doi:10.1103/PhysRevD.78.025014

Abstract

We consider non-topological, "bell-shaped" localized and regular solutions available in some 1+1 dimensional scalar field theories. Several properties of such solutions are studied, namely their stability and the occurence of fermion bound states in the background of a kink and a kink-anti-kink solutions of the sine-Gordon model.

8 pages, 4 figures