On the scalar nonet in the extended Nambu Jona-Lasinio model

Abstract

We discuss the lightest scalar resonances, $f_0(600)$, $\kappa (800)$, $a_0(980)$ and $f_0(980)$ in the extended Nambu Jona-Lasinio model. We find that the model parameters can be tuned, but unnaturally, to accommodate for those scalars except the $f_0(980)$. We also discuss problems encountered in the K Matrix unitarization approximation by using $N_c$ counting technique.

arXiv comment23 pages 3 eps figures, To appear in Nucl. Phys. A

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• A Review on Partial-wave Dynamics with Chiral Effective Field Theory and Dispersion Relation
• Dynamical generation and dynamical reconstruction
• A Dispersive Analysis on the $f_0(600)$ and $f_0(980)$ Resonances in $\gamma \gamma \to {\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0$ Processes
• The origin of light $0^{+}$ scalar resonances
• Effective multi-quark interactions with explicit breaking of chiral symmetry
• Light Quark Masses in Multi-Quark Interactions
• Flavor-dependent U(3) Nambu Jona Lasinio coupling constant
• Role of a four-quark and a glueball state in pion-pion and pion-nucleon scattering
• Quark-antiquark states of the lightest scalar mesons within the Nambu-Jona-Lasinio model with flavor-dependent coupling constants
• Low Lying Scalar Resonances and Chiral Symmetry
• Calculations of $\mathcal{O}(p^6)$ Resonance Coupling Constants in the Scalar Sector of the ENJL Model