2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152465We consider curvature-induced resonances in a planar two-dimensional Dirichlet tube of a width $ d $. It is shown that the distances of the corresponding resonance poles from the real axis are exponentially small as $ d\to 0+ $, provided the curvature of the strip axis satisfies certain analyticity and decay requirements.LaTeX2.09, 30 pages, 3 figures, to appear in Helv. Phys. ActaFunctional AnalysisCondensed MatterMathematical PhysicsQuantum Physicstext