QCD and resonance physics. applications

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Abstract

Resonance properties are investigated within the QCD-based approach to resonance physics developed earlier. We extend first the dispersion charmonium theory to include power terms due to the non-perturbative effects of QCD. As a byproduct, an estimate for the gluonic vacuum expectation value, 〈0|GμνaGμνa|0〉, emerges. The main emphasis is made on the analysis of the ρ{variant}, ω, φ{symbol}, K* mesons. Predictions are formulated for integrals of the type ∫ Im Π e-s/M2 ds where Im Π is aan appropriate spectral density. It is shown that there exist such M2 that the integrals are dominated by a single resonance, on one hand, and are calculable in a reliable way, on the other. As a result we are able to calculate the resonance coupling constants and masses. The typical accuracy achieved is about 10%. The power terms considered explain both the π-ρ{variant}-A1 mass splittings and the observed pattern of the SU(3) symmetry breaking in the vector nonet. We discuss, also, the relation between our approach and more traditional ones. A few original remarks concerning the MIT bag model, instanton calculus, etc. are included.

Original languageEnglish (US)
Pages (from-to)448-518
Number of pages71
JournalNuclear Physics, Section B
Volume147
Issue number5
DOIs
StatePublished - Feb 5 1979

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