Scalar-isoscalar states in the large-Nc Regge approach

Abstract

Scalar-isoscalar states (0++) are investigated within the large-Nc Regge approach. We elaborate on the consequences of including the lightest f0(600) scalar-isoscalar state into such an analysis, where the position of f0(600) fits very well into the pattern of the radial Regge trajectory. Furthermore, we point out that the pion and nucleon spin-0 gravitational form factors, recently measured on the lattice, provide valuable information on the low-mass spectrum of the scalar-isoscalar states on the basis of the scalar-meson dominance in the spin-0 channel. Through the fits to these data we find m_sigma= 450-600 MeV. We compare the predictions of various fits and methods. An analysis of the QCD condensates in the two-point correlators provides further constraints on the parameters of the scalar-isoscalar sector. We find that a simple two-state model suggests a meson nature of f0(600), and a glueball nature of f0(980), which naturally explains the ratios of various coupling constants. Finally, we note that the fine-tuned condition of the vanishing dimension-2 condensate in the Regge approach with infinitely many scalar-isoscalar states yields a reasonable value for the mass of the lighest glueball state.

18 pages, 13 figures. Typos corrected. Remarks and references added

References in corpus (19)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• A Theory of Scalar Mesons
• Light scalar mesons in the soft-wall model of AdS/QCD
• Nature of the f_0(600) from its N_c dependence at two loops in unitarized Chiral Perturbation Theory
• The Determination of alpha_s from Tau Decays Revisited
• On the light glueball spectrum in a holographic description of QCD
• The pion-pion scattering amplitude. III: Improving the analysis with forward dispersion relations and Roy equations
• Holographic glueball structure
• Gravitational and higher-order form factors of the pion in chiral quark models
• Parity doubling in particle physics
• Properties of the rho and sigma Mesons from Unitary Chiral Dynamics
• Dimension-two gluon condensate from large-Nc Regge models
• Gluonium nature of the sigma/f_0(600) from its coupling to KK
• Pion transition form factor and distribution amplitudes in large-Nc Regge models
• Serber symmetry, Large Nc and Yukawa-like One Boson Exchange Potentials
• Alternative Large Nc Schemes and Chiral Dynamics
• Dimension-2 condensates, zeta-regularization and large-Nc Regge Models
• Pion electromagnetic form factor, perturbative QCD, and large-Nc Regge models
• Meson Resonances at large Nc: Complex Poles vs Breit-Wigner Masses

Cited by in corpus (2)

• sigma and f_0(980) substructures from gamma-gamma to pi-pi, J/psi, phi radiative and D_s semi-leptonic decays
• Transversity form factors of the pion in chiral quark models