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.

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

References in corpus (3)

• Nature of the f_0(600) from its N_c dependence at two loops in unitarized Chiral Perturbation Theory
• The K^*_0(800) scalar resonance from Roy-Steiner representations of pi K scattering
• An improved study of the kappa resonance and the non-exotic $s$ wave $\pi K$ scatterings up to $\sqrt{s}=2.1$GeV of LASS data

Cited by in corpus (5)

• 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
• 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