The physical meaning of scattering matrix singularities in coupled-channel formalisms
S. Capstick, A. Svarc, L. Tiator, J. Gegelia, M.M. Giannini, E., Santopinto, C. Hanhart, S. Scherer, T.-S.H. Lee, T. Sato, N. Suzuki

TL;DR
This paper explores the physical significance of singularities in scattering matrices within coupled-channel formalisms, emphasizing the invariance under field transformations and providing practical examples of evaluating these quantities.
Contribution
It clarifies the physical interpretation of scattering matrix singularities and demonstrates their invariance properties through model examples.
Findings
Singularities have specific physical meanings in coupled-channel scattering.
Scattering matrix invariance under field transformations is confirmed.
Practical evaluation methods for bare and dressed quantities are presented.
Abstract
The physical meaning of bare and dressed scattering matrix singularities has been investigated. Special attention has been attributed to the role of well known invariance of scattering matrix with respect to the field transformation of the effective Lagrangian. Examples of evaluating bare and dressed quantities in various models are given.
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