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Elastic Kink-Meson Scattering
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In classical field theory, radiation does not reflect off of reflectionless kinks. In quantum field theory, radiation quanta, called mesons, can be reflected. We provide a general analytical formula for the leading order amplitude and probability for the elastic scattering of mesons off of reflectionless quantum kinks. In the case of the Sine-Gordon model we verify that, due to a cancellation of six contributing processes, our general formula yields an amplitude of zero, as is required by integrability.
Forward citations
Cited by 3 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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A resonance in phonons scattering off a kink in the absence of a Peierls-Nabarro potential
In a Peierls-Nabarro-free discrete phi^4 model, phonon scattering off a kink exhibits lattice-spacing-dependent reflection and negative radiation pressure accelerating the kink toward incoming phonons due to resonances.
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