(Anti-)Stokes Scattering on Kinks

Abstract

At leading order, there are three inelastic scattering processes beginning with a quantum kink and a fundamental meson. Meson multiplication, in which the final state is a kink and two mesons, was treated recently. In this note we treat the other two, (anti)-Stokes scattering, in which the kink's shape mode is (de-)excited and the final state contains one meson. In the case of a general scalar kink, we find analytic formulas for the forward and backward scattering amplitudes and probabilities as functions of the momentum of the incident meson. The general results are then specialized to the kink of the ${\varphi }^4$ double-well model.

20 pages, 5 PDF figures

References in corpus (7)

• Quantum Radiation of Oscillons
• Oscillons and Quasi-breathers in the ϕ^4 Klein-Gordon model
• Spectral Walls in Soliton Collisions
• Collective coordinate model of kink-antikink collisions in ${\varphi }^4$ theory
• Negative radiation pressure exerted on kinks
• Collisions of kinks in deformed ${\phi }^4$ and ${\phi }^6$ models
• Scattering of kinks in the $B{\phi }^4$ model