2004/03/31 by S. S. Afonin, S S.Afonin, A. A. Andrianov +5 · 4 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Meson #Operator (biology) #Operator product expansion #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Quantum chromodynamics #Quantum number #Quark #Spectral line #Spectrum (functional analysis) #String (physics) #hep-ph #hep-th
paper · pdf · doi:10.1088/1126-6708/2004/04/039
published as JHEP 0404:039,2004 · 24 pages, Latex, significant changes in discussion of fits, more refs added
arxiv created 2004/04/20 · openalex publication_date 2004/04/20 · openalex created_date 2017/10/20 · openalex updated_date 2026/08/05
The spectra of masses and decay constants for non-strange meson resonances in the energy range 0--2.5 GeV is analyzed. It is known from meson phenomenology that for given quantum numbers these spectra approximately follow linear trajectories with a universal slope. These facts can be understood in terms of an effective string description for QCD. For light meson states the trajectories deviate noticeably from the linear behavior. We investigate the possible corrections to the linear trajectories by matching two-point correlators of quark currents to the Operator Product Expansion (OPE). We find that the allowed modifications to the linear Regge behavior must decrease rapidly with the principal quantum number. After fitting the lightest states in each channel and certain low-energy constants the whole spectrum for meson masses and residues is obtained in a satisfactory agreement with phenomenology. We briefly speculate on possible implications for the QCD effective string.