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HK: Physik der Hadronen und Kerne

HK 2: Theory I

HK 2.3: Gruppenbericht

Montag, 11. März 2002, 17:15–17:45, A

Determination of vector meson properties by matching resonance saturation to a constituent quark model — •Stefan Leupold — Institut für Theoretische Physik, Universität Giessen, Germany

We calculate the low-energy coefficients of chiral perturbation theory in two different ways, namely (i) by assuming resonance saturation and (ii) within a constituent quark model derived as the low energy effective theory of the instanton model. By matching the expressions of the two models we determine mass and coupling constants for vector and axial-vector mesons. We recover in this way the KSFR relation as well as the universality of the vector meson coupling. The latter is found to be g = 2π. For the ρ-meson mass we get m_ρ= √8  π F_π≈ 826 MeV where F_π denotes the pion decay constant.