2020/10/23 by Sebastian M. Dawid, Adam P. Szczepaniak · 17 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Bound state #Formalism (music) #Gravitational singularity #Mathematical physics #Matrix (chemical analysis) #Parametrization (atmospheric modeling) #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Radiative transfer #Scattering #Unitarity #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1103/physrevd.103.014009
published in Physical review. D/Physical review. D. 103(1) (American Physical Society) · 19 pages, 11 figures
openalex created_date 2020/10/22 · arxiv created 2020/10/23 · openalex publication_date 2021/01/08 · arxiv updated 2021/01/11 · openalex updated_date 2026/08/05
We consider a model of relativistic three-body scattering with a bound state in the two-body subchannel. We show that the nai"\ive K-matrix type parametrization, here referred to as the B-matrix, has nonphysical singularities near the physical region. We show how to eliminate such singularities by using dispersion relations and also show how to reproduce unitarity relations by taking into account all relevant open channels.