Nature of the f_0(600) from its N_c dependence at two loops in unitarized Chiral Perturbation Theory

Abstract

By using unitarized two-loop Chiral Perturbation Theory partial waves to describe pion-pion scattering we find that the dominant component of the lightest scalar meson does not follow the q-qbar dependence on the number of colors that, in contrast, is obeyed by the lightest vectors. The method suggests that a subdominant q-qbar component of the f_0(600) possibly originates around 1 GeV.

arXiv comment4 pages, 1 Figure. To appear in Phys. Rev. Lett

References in corpus (37)

• ππscattering
• Chiral symmetry amplitudes in the s-wave isoscalar and isovector channels and the $\sigma ,f_0(980),a_0(980)$ scalar mesons
• Chiral Symmetry Amplitudes in the S-Wave Isoscalar and Isovector Channels and the σ, f_0(980), a_0(980) Scalar Mesons
• Meson-Meson interaction in a non-perturbative chiral approach
• N/D Description of Two Meson Amplitudes and Chiral Symmetry
• Non-perturbative Approach to effective chiral Lagrangians and Meson Interactions
• Resurrection of the Sigma Meson
• Experimental evidence for a light and broad scalar resonance in $D^{+}\to {\pi }^{-}{\pi }^{+}{\pi }^{+}$ decay
• A low-lying scalar meson nonet in a unitarized meson model
• The inverse amplitude method in Chiral Perturbation Theory
• On the nature of light scalar mesons from their large $N_c$ behavior
• Low lying axial-vector mesons as dynamically generated resonances
• Meson-meson scattering within one loop Chiral Perturbation Theory and its unitarization
• Four Sorts of Mesons
• Dalitz Plot Analysis of the Decay D^+ --> K^- pi^+ pi^+ and Indication of a Low-Mass Scalar K pi Resonance
• A global fit of $\pi \pi$ and $\pi K$ elastic scattering in ChPT with dispersion relations
• Simple Description of Pion-Pion Scattering to 1 GeV
• An Analysis of ππ-Scattering Phase Shift and Existence of σ(555) particle
• $K_{l4}$ - Decays Beyond One Loop
• Light scalars as tetraquarks or two-meson states from large Nc and unitarized Chiral Perturbation Theory
• Evidence for a scalar kappa(900) resonance in pi-K scattering
• KK bar scattering amplitude to one loop in chiral perturbation theory, its unitarization and pion form factors
• Analysis of Kπ-scattering phase shift and existence of κ(900)-particle
• The $\sigma$ pole in $J/\psi \to \omega {\pi }^{+}{\pi }^{-}$
• Pion-pion scattering at low energy
• Dynamical generation of the gauged SU(2) linear sigma model
• Relativistic Effects in the Scalar Meson Dynamics
• The Inverse Amplitude Method in $\pi \pi$ Scattering in Chiral Perturbation Theory to Two Loops
• Modified Breit-Wigner formula for mesonic resonances describing OZI decays of confined $q\bar{q}$ states and the light scalar mesons
• Low Energy Constants from Kl4 Form-Factors
• Error estimates for pi-pi scattering threshold parameters in Chiral Perturbation Theory to two loops
• Comment on the Prediction of Two-loop Standard Chiral Perturbation Theory for Low-Energy ππScattering
• Improved Unitarized Heavy Baryon Chiral Perturbation Theory for $\pi N$ Scattering
• Chiral Perturbation Theory and the f2(1270) resonance
• The phi to pi+ pi- decay within a chiral unitary approach
• Thermal Meson properties within Chiral Perturbation Theory
• Phase Motion in the Scalar Low-Mass pi+pi- Amplitude in D+ -> pi-pi+pi+ Decay

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