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(Anti-)Stokes Scattering on Kinks
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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 $\phi^4$ double-well model.
Forward citations
Cited by 2 Pith papers
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Kink collisions in a two-dimensional gravity model
In a 2D dilaton-gravity model, stronger gravity shifts kink-antikink bounce windows to higher speeds and narrows them, leaves a lasting contraction of the conformal scale, and produces no curvature singularity in the ...
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Kink collisions in a two-dimensional gravity model
In 2D MMSS dilaton gravity, self-gravitating φ⁴ kink-antikink collisions show resonance windows shifted to higher velocities and narrowed by stronger gravity, with no singularity formation in the runs performed.
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