Spectral analysis of Dirac operators for fermion scattering on topological solitons in the nonlinear $O(3)$ $\ddot{I}ƒ$-model

Daiju Funakawa, Satoshi Okumura, Yuki Ueda

We investigate the existence of discrete positive or negative energy ground states of the Dirac operator $H$ which describe the fermion scattering on topological solitons in the no…