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(Anti-)Stokes Scattering on Kinks

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arxiv 2301.04099 v1 pith:TOEE3O4O submitted 2023-01-10 hep-th

classification hep-th
keywords kinkmesonscatteringfinalgeneralstatestokesamplitudes
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Kink collisions in a two-dimensional gravity model

    hep-th 2026-07 conditional novelty 6.0 of 10

    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 ...

  2. The Domain Wall String's Anti-Stokes Scattering Cross Section

    hep-th 2025-07 conditional novelty 6.0 of 10

    The authors compute the anti-Stokes scattering cross section for a domain wall string shape mode in a scalar theory, yielding a wave-packet-independent analytic formula for arbitrary incident angle and impact parameter.

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