2025/12/19 by Kehinde Ogundipe, Bilguun Bayarsaikhan, Ogundipe, Kehinde +1
Physics and Astronomy · #Nonlinear Photonic Systems #Cold Atom Physics and Bose-Einstein Condensates #Topological Materials and Phenomena
paper · doi:10.48550/arxiv.2512.17746
We calculate the leading order amplitude and probability for the elastic scattering of an elementary meson and a kink in the ϕ4 double-well model. Classically, the kink is reflectionless, and so the leading contribution arises at one loop. At this order, the scattering amplitude exhibits a pole when the incoming meson energy is twice the shape mode energy, corresponding to the excitation of an unstable resonance with the twice excited shape mode. We expect that higher order corrections will give this resonance a width equal to the inverse of the known lifetime of this unstable excitation.