Vector mesons in the Extended Chiral Quark Model

Abstract

We extend our previous formulation of low-energy QCD in terms of an effective lagrangian containing operators of dimensionality $d\le 6$ constructed with pseudoscalars and quark fields, describing physics below the scale of chiral symmetry breaking. We include in this paper the vector and axial-vector channels. We follow closely the Extended Chiral Quark Model approach and consistently work in the large-$N_c$ and leading log approximation and take into account the constraints from chiral symmetry and chiral symmetry restoration. The optimal fit of all parameters gives further support to a heavy scalar meson with a mass $\sim 1$ GeV and a value of the axial pion-quark coupling constant $g_A\simeq 0.55$ to 0.66, depending on some assumptions concerning the Weinberg sum rules.

19 pages, Latex, JHEP class, more typos removed, few refs.added

Cited by in corpus (10)

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• Cluster duality
• Several Topics on Transverse Momentum-Dependent Fragmentation Functions
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• Parity doubling from Weinberg sum rules
• Weinberg like sum rules revisited
• Light vector and axial mesons effective couplings to constituent quarks
• Masses of the lowest spin-0 and spin-1 meson nonets: explicit symmetry breaking effects
• Vector meson decays from the Extended Chiral Quark Model
• Axial coupling from matching constituent quark model to QCD