2003/03/14 by V. V. Anisovich, M. A. Matveev · 1 citation
Physics and Astronomy · #Amplitude #Composite number #Gauge theory #Meson #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Radiative transfer #Scalar (mathematics) #hep-ph
paper · pdf · doi:10.1134/1.1690072
published as Phys.Atom.Nucl. 67 (2004) 614-632; Yad.Fiz. 67 (2004) 634-652 · 34 pages, LaTeX, 5 figures, epsfig.sty
arxiv created 2003/03/14 · openalex publication_date 2004/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The constraints following from gauge invariance and analyticity are considered for the amplitudes of radiative transitions of composite systems, when composite systems are treated in terms of spectral integrals. We discuss gauge-invariant amplitudes for the transitions S → γS and V → γS , with scalar S and vector V mesons being two-particle composite systems of scalar (or pseudoscalar) constituents, and we demonstrate the mechanism of cancellation of false kinematical singularities. Furthermore, we explain how to generalize this consideration for quark-antiquark systems, in particular, for the reaction φ (1020) → γf 0 (980). Here, we also consider in more detail the quark-model nonrelativistic approach for this reaction.