Spectral Walls in Soliton Collisions
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During defect-antidefect scattering, bound modes frequently disappear into the continuous spectrum before the defects themselves collide. This leads to a structural, nonperturbative change in the spectrum of small excitations. Sometimes the effect can be seen as a hard wall from which the defect can bounce off. We show the existence of these spectral walls and study their properties in the $\phi^4$ model with BPS preserving impurity, where the spectral wall phenomenon can be isolated because the static force between the antikink and the impurity vanishes. We conclude that such spectral walls should surround all solitons possessing internal modes.
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Cited by 4 Pith papers
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Krakow Lectures on Scalar Quantum Solitons
The paper presents Linearized Soliton Perturbation Theory (LSPT) as a new Hamiltonian tool for constructing quantum soliton states and computing their perturbative corrections and scattering.
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Krakow Lectures on Scalar Quantum Solitons
Introduces Linearized Soliton Perturbation Theory (LSPT) as a Hamiltonian tool for explicit construction of quantum soliton states and their perturbative corrections, including scattering applications.
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Unified theory of oscillons and modes
Oscillons are reinterpreted as localized resonant modes from threshold or antibound modes via nonlinearity, with wobblerons as new kink-oscillon bound states.
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Compact structures in impurity-doped vacuumless systems
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.
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