TY - JOUR

T1 - QCD and resonance physics. applications

AU - Shifman, M. A.

AU - Vainshtein, A. I.

AU - Zakharov, V. I.

PY - 1979/2/5

Y1 - 1979/2/5

N2 - 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.

AB - 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.

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U2 - 10.1016/0550-3213(79)90023-3

DO - 10.1016/0550-3213(79)90023-3

M3 - Article

AN - SCOPUS:33645956227

VL - 147

SP - 448

EP - 518

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 5

ER -