A Resonance in Elastic Kink-Meson Scattering
Bilguun Bayarsaikhan, Jarah Evslin
TL;DR
This paper analytically sums leading bubble diagrams in the $ ^4$ double-well model to study elastic kink-meson scattering, revealing a resonance peak linked to the unstable kink state with shape mode excitation.
Contribution
It provides an analytical summation of bubble diagrams to identify a resonance in kink-meson scattering, connecting it to the decay rate of the shape mode.
Findings
Identifies a resonance peak in the scattering amplitude.
The resonance has a Breit-Wigner form.
The imaginary part matches the shape mode decay rate.
Abstract
We analytically sum the leading bubble diagrams that contribute to the elastic scattering amplitude of a kink and a meson in the double-well model. We find a single peak, corresponding to the unstable kink state in which the shape mode is excited twice. The peak has the usual Breit-Wigner form, and its imaginary part agrees with the shape mode decay rate found by Manton and Merabet.
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