We study topological index N = 2, 5 soliton head-on collisions in the CP1 sigma model on a flat torus T2. Only for tightly localised N = 5 configurations at the initial time do we observe π/5 scattering, but for N = 2 the scattering proceeds at π/2, regardless.

Scattering, Sigma model, Soliton, Topological charge
WSEAS Transactions on Mathematics
School of Mathematics and Statistics

Cova, R.J. (Ramón J.), Amundsen, D, & Zakrzewski, W.J. (2005). Modified π/N scattering on T2. WSEAS Transactions on Mathematics, 4(3), 304–311.