2008/08/31 by D. Blaschke, D. B. Blaschke, H. Grigorian +1 · 9 citations
Physics and Astronomy · #Breakup #Constituent quark #Form factor (electronics) #High-Energy Particle Collisions Research #Lagrangian #Mathematical physics #Meson #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Quark model #Rho meson #Vertex (graph theory) #hep-ph
paper · pdf · doi:10.1134/s1547477112010049
published in Physics of Particles and Nuclei Letters 9(1), 7-17 (Pleiades Publishing) · 21 pages, 4 figures, 3 tables, references added, remarks on gauge invariance added
arxiv created 2009/07/04 · openalex publication_date 2012/01/01 · openalex created_date 2016/06/24 · arxiv updated 2020/02/04 · openalex updated_date 2026/08/05
We suggest a new scheme for the introduction of form factors for the SU (4) chiral meson Lagrangian approach to the J /ψ breakup cross sections by π- and ρ-meson impact. This mesonic form-factor scheme respects the fact that on the quark level of description, the contact and the meson exchange diagrams are constructed by the so-called box and triangle diagrams which contain a different number of vertex functions for the quark-meson coupling. We present a model calculation for Gaussian vertex functions within the meson form-factor scheme and compare the results with those of the usual global form-factor model. We calibrate the new meson form-factor model with results for the pion impact processes from a relativistic quark model calculation by M.A. Ivanov et al. and present predictions for the ρ-meson induced processes. We provide a fit formula for the resulting energy-dependent cross sections.