Dynamical study of bare $σ$ pole with $1/N_c$ classifications

Physics – High Energy Physics – High Energy Physics - Phenomenology

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5 pages, 4 figures

Scientific paper

Systematic $1/N_c$ counting of correlators is performed to directly relate quark-gluon dynamics to qualitatively different hadronic states order by order. Both 2q and 4q correlators of $\sigma$ quanta are analyzed with $1/N_c$ separation of the instanton, glueball, and in particular, two meson scattering states. The {\it bare} resonance pole with no mixing effects are studied with the QCD sum rules (QSR). The bare mass relation for large $N_c$ mesons, $m_{\rho}

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