2012/12/20 by Sinya Aoki, Bruno Charron, Takumi Doi +3
Mathematics · Physics and Astronomy · #Deep inelastic scattering #Energy (signal processing) #Field (mathematics) #Inelastic scattering #Lambda #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum field theory #Quantum mechanics #Scattering #Sigma #Spectral Theory in Mathematical Physics #Wave function #hep-lat #nucl-th
paper · pdf · doi:10.1103/physrevd.87.034512
20 pages
arxiv created 2012/12/20 · openalex publication_date 2013/02/19 · arxiv updated 2013/03/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We construct energy-independent but nonlocal potentials above inelastic thresholds, in terms of Nambu-Bethe-Salpeter wave functions defined in quantum field theories such as QCD. As an explicit example, we consider NN\ensuremath→NN+n\ensuremathπ scattering processes for n=0,1,2,…. We show the existence of energy-independent coupled channel potentials with a nonrelativistic approximation, where momenta of all particles are small compared with their own masses. In the case of two-body inelastic scatterings such as \ensuremathΛ\ensuremathΛ\ensuremath→\ensuremathΛ\ensuremathΛ, N\ensuremathΞ, \ensuremathΣ\ensuremathΣ, on the other hand, we show that energy-independent potentials can be constructed without relying on nonrelativistic approximations. We also propose a method to extract these potentials using time dependence of general correlation functions.