https://doi.org/10.1140/epjc/s10052-026-15436-2
Regular Article - Theoretical Physics
Elastic kink-meson scattering in the 
double-well model
1
Alikhanian National Laboratory (Yerevan Physics Insititute), Alikhanian Brother Street 2, 0036, Yerevan, Armenia
2
MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, School of Physics, Xi’an Jiaotong University, 710049, Xi’an, China
3
Institute of Modern Physics, NanChangLu 509, 730000, Lanzhou, China
4
University of the Chinese Academy of Sciences, YuQuanLu 19A, 100049, Beijing, China
a
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Received:
23
December
2025
Accepted:
10
February
2026
Published online:
4
March
2026
Abstract
We calculate the leading order amplitude and probability for the elastic scattering of an elementary meson and a kink in the 
double-well model. Classically, the kink is reflectionless, and so the leading contribution arises at one loop. At this order, the scattering amplitude exhibits a pole when the incoming meson energy is twice the shape mode energy, corresponding to the excitation of an unstable resonance with the twice excited shape mode. We expect that higher order corrections will give this resonance a width equal to the inverse of the known lifetime of this unstable excitation.
© The Author(s) 2026
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