$N_C$ evolution of the light meson resonances

Abstract

The variation of the resonance poles, i.e., the mass and width, originating from changing the values of $N_C$, the number of the QCD colors, provide an intuitive theoretical method to discriminate the interior constituents of hadrons. Many different approaches, including unitarized chiral amplitudes, dispersive methods, quark models, linear-sigma-model-like framework, etc., have been widely used to determine the $N_C$ trajectories of the various resonance pole positions. We focus on the discussions of the light-flavor meson resonances in this work.

arXiv comment22 pages, 4 figures. An invited review in the issue of "Topics in Light-quark Physics" published in Eur.Phys.J Special Topics

References in corpus (72)

• Chiral dynamics in the presence of bound states: kaon-nucleon interactions revisited
• FLAG Review 2019
• Meson-Meson interaction in a non-perturbative chiral approach
• N/D Description of Two Meson Amplitudes and Chiral Symmetry
• The 1/N Expansion for Baryons
• Non-perturbative Approach to effective chiral Lagrangians and Meson Interactions
• SU(N) gauge theories at large N
• On the nature of light scalar mesons from their large $N_c$ behavior
• Meson-meson scattering within one loop Chiral Perturbation Theory and its unitarization
• Elastic $\pi \pi$ scattering to two loops
• Mesonic low-energy constants
• Nature of the f_0(600) from its N_c dependence at two loops in unitarized Chiral Perturbation Theory
• Interactions of Charmed Mesons with Light Pseudoscalar Mesons from Lattice QCD and Implications on the Nature of the D_{s0}^*(2317)
• Isoscalar $\pi \pi$ scattering and the $\sigma$ meson resonance from QCD
• Tetraquark Mesons in Large $N$ Quantum Chromodynamics
• Quark mass dependence of the rho and sigma from dispersion relations and Chiral Perturbation Theory
• Compositeness of dynamically generated states in a chiral unitary approach
• Wave functions of composite hadron states and relationship to couplings of scattering amplitudes for general partial waves
• Isoscalar $\pi \pi ,K\overline{K},\eta \eta$ scattering and the $\sigma ,f_0,f_2$ mesons from QCD
• Comprehensive analysis of the wave function of a hadronic resonance and its compositeness
• Light scalars as tetraquarks or two-meson states from large Nc and unitarized Chiral Perturbation Theory
• Probabilistic interpretation of compositeness relation for resonances
• Resonances from meson-meson scattering in U(3) CHPT
• Octet baryon masses in next-to-next-to-next-to-leading order covariant baryon chiral perturbation theory
• The nature of $\sigma$, $\kappa$, $a_0(980)$ and $f_0(980)$
• Mixing of scalar tetraquark and quarkonia states in a chiral approach
• Interplay of quark and meson degrees of freedom in a near-threshold resonance: multi-channel case
• Narrow Tetraquarks at Large N
• Chiral dynamics in form factors, spectral-function sum rules, meson-meson scattering and semilocal duality
• Exploring $\pp$ scattering in the $\1N$ picture
• Pion and Kaon Vector Form Factors
• Large N_c Limit of Spin-Flavor Breaking in Excited Baryon Levels
• Remarks on pole trajectories for resonances
• New insights into the $D_{s0}^{\ast }(2317)$ and other charm scalar mesons
• Non-perturbative methods for a chiral effective field theory of finite density nuclear systems
• Chiral study of the $a_0(980)$ resonance and $\pi \eta$ scattering phase shifts in light of a recent lattice simulation
• Chiral Perturbation Theory, the $1/N_c$ expansion and Regge behaviour determine the structure of the lightest scalar meson
• Large-Nc Properties of the rho and f0(600) Mesons from Unitary Resonance Chiral Dynamics
• Dynamical generation of pseudoscalar resonances
• Are There Tetraquarks at Large $N_c$ in QCD(F)?
• Ordinary and Extraordinary Hadrons
• Introductory lectures to large-N QCD phenomenology and lattice results
• Large-$N_c$ naturalness in coupled-channel meson-meson scattering
• Chiral dynamics in U(3) unitary chiral perturbation theory
• $K_0^{\ast }(800)$ as a companion pole of $K_0^{\ast }(1430)$
• Large-N Structure of Tetraquark Mesons
• Properties of the rho and sigma Mesons from Unitary Chiral Dynamics
• Quenched mesonic spectrum at large N
• Nature of the axial-vector mesons from their Nc behavior within the chiral unitary approach
• Non-ordinary light meson couplings and the $1/N_c$ expansion
• On the large-$N_c$ behavior of the $L_7$ coupling in $\chi$PT
• Lattice study of large $N_c$ QCD
• Model dependent analyses on the $N_c$ dependence of the $\sigma$ pole trajectory
• The origin of light $0^{+}$ scalar resonances
• Systematizing and addressing theory uncertainties of unitarization with the Inverse Amplitude Method
• Pole Analysis of Unitarized One Loop $\chi$PT Amplitudes - A Triple Channel Study
• Updated study of the $\eta$-${\eta }^{\prime }$ mixing and the thermal properties of light pseudoscalar mesons at low temperatures
• Instantons in QCD with Many Colors
• Feynman-Hellmann theorem for resonances and the quest for QCD exotica
• Meson Resonances at large Nc: Complex Poles vs Breit-Wigner Masses
• Enhanced non-quark-antiquark and non-glueball Nc behavior of light scalar mesons
• Thermal behaviors of light scalar resonances at low temperatures
• The vector meson mass in the large N limit of QCD
• A new method to study the number of colors in the final-state interactions of hadrons
• Properties of light resonances from unitarized Chiral perturbation theory: Nc behavior and quark mass dependence
• Scalar mesons in the chiral theory with quark degrees of freedom
• Test of semi-local duality in a large $N_C$ framework
• Scrutinizing the eta-eta' mixing, masses and pseudoscalar decay constants in the framework of U(3) chiral effective field theory
• Unitarization Technics in Hadron Physics with Historical Remarks
• Effective-range-expansion study of near threshold heavy-flavor resonances
• Reanalysis of lattice QCD spectra leading to the $D_{s0}^{\ast }(2317)$ and $D_{s1}^{\ast }(2460)$
• The meson spectrum of large N gauge theories