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Scattering of compact kinks

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arxiv 2311.09494 v2 pith:XVIDRRQ5 submitted 2023-11-16 hep-th

Scattering of compact kinks

classification hep-th
keywords scatteringkink-kinkcasescompactemissionkink-antikinkradiationvelocity
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the scattering processes of kink-antikink and kink-kink pairs in a field theory model with non-differentiable potential at its minima. The kink-antikink scattering includes cases of capture and escape of the soliton pair separated by a critical velocity, without windows of multi bounce followed by escape. Around the critical velocity, the behavior is fractal. The emission of radiation strongly influences the small velocity cases, with the most radiative cases being also the most chaotic. The radiation appears through the emission of compact oscillons and the formation of compact shockwaves. The kink-kink scattering happens elastically, with no emission of radiation. Some features of both the kink-antikink and the kink-kink scattering are explained using a collective coordinate model, even though the kink-kink case exhibits a null-vector problem.

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Cited by 2 Pith papers

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    A specific initial amplitude in the signum-Gordon model generates a spectral mass of unity whose dispersion matches the massive Klein-Gordon equation.

  2. Compact structures in impurity-doped vacuumless systems

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    Impurities preserving half the BPS sectors induce compact or half-compact stable vacuumless kinks in scalar models, which cannot form in impurity-free canonical cases.