2002/12/10 by N. E. Ligterink, N.E. Ligterink
Chemistry · Mathematics · Physics and Astronomy · #Channel (broadcasting) #Chemistry #Computer science #Hadron #High-Energy Particle Collisions Research #Mathematical physics #Mathematics #Matrix (chemical analysis) #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Resonance (particle physics) #S-matrix #Scattering #Scattering theory #Stochastic matrix #Unitarity #nucl-th
paper · pdf · doi:10.1103/physrevc.67.035203
published in Physical Review C 67(3) (American Institute of Physics) · 8 pages, 1 figure, code available from http://www.phyast.pitt.edu/~norbertl/bubblegum2/
arxiv created 2002/12/10 · openalex publication_date 2003/03/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
For coupled-channel resonance scattering, we derive a model with a closed form solution for the T matrix that satisfies unitarity and analyticity. The two-channel case is handled explicitly for an arbitrary number of resonances. The method focuses on the expansion of the transition matrix elements \ensuremathΓ(s) in known analytical functions. The appropriate hadronic form factors and the related energy shifts can be determined from the scattering data. The differences between this method and the K matrix and the Breit-Wigner approximation are illustrated in the case of the S11 resonances S11(1535) and S11(1650).