Dynamical generation of pseudoscalar resonances

Abstract

We study the interactions between the f_0(980) and a_0(980) scalar resonances and the lightest pseudoscalar mesons. We first obtain the elementary interaction amplitudes, or interacting kernels, without including any ad hoc free parameter. This is achieved by using previous results on the nature of the lightest scalar resonances as dynamically generated from the rescattering of S-wave two-meson pairs. Afterwards, the interaction kernels are unitarized and the final S-wave amplitudes result. We find that these interactions are very rich and generate a large amount of pseudoscalar resonances that could be associated with the K(1460), π(1300), π(1800), η(1475) and X(1835). We also consider the exotic channels with isospin 3/2 and 1, having the latter positive G-parity. The former could be also resonant in agreement with a previous prediction.

31 pages, 9 figures, to be published in PRD

References in corpus (44)

• The glueball spectrum from an anisotropic lattice study
• Chiral dynamics in the presence of bound states: kaon-nucleon interactions revisited
• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• 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
• Chiral Dynamics of the Two Λ(1405) States
• Glueball Spectrum and Matrix Elements on Anisotropic Lattices
• Meson-Meson interaction in a non-perturbative chiral approach
• N/D Description of Two Meson Amplitudes and Chiral Symmetry
• A comprehensive lattice study of SU(3) glueballs
• Non-perturbative Approach to effective chiral Lagrangians and Meson Interactions
• Observation of a near-threshold enhancement in th p pbar mass spectrum from radiative J/psi-->gamma p pbar decays
• Large N_c in chiral perturbation theory
• Higher Quarkonia
• On the structure of the scalar mesons $f_0(975)$ and $a_0(980)$
• The Production and Decay of Hybrid Mesons by Flux-Tube Breaking
• Masses, decays and mixings of gluonia in QCD
• Automated one-loop calculations: a proof of concept
• S-wave Kpi scattering in chiral perturbation theory with resonances
• Observation of a resonance X(1835) in J/ψ--> γπ^+ π^- η^{\prime}
• A global fit of $\pi \pi$ and $\pi K$ elastic scattering in ChPT with dispersion relations
• Identification of a Scalar Glueball
• A Structure at 2175 MeV in $e^{+}{e}^{-}\to \varphi f_0(980)$ Observed via Initial-State Radiation
• X(2175) as a resonant state of the $\varphi K\bar{K}$ system
• Chiral Effective Lagrangian in the large-Nc limit: the nonet case
• Determining the Gluonic Content of Isoscalar Mesons
• Near threshold enhancement of the ppbar mass spectrum in J/Psi decay
• The $e^{+}{e}^{-}\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$, $K^{+}{K}^{-}{\pi }^0{\pi }^0$ and $K^{+}{K}^{-}{K}^{+}{K}^{-}$ Cross Sections Measured with Initial-State Radiation
• Observation of the $\varphi (1680)$ and the Y(2175) in $e^{+}{e}^{-}\to \varphi {\pi }^{+}{\pi }^{-}$
• Detecting Gluino-Containing Hadrons
• Separation of S- wave pseudoscalar and pseudovector amplitudes in pi^- p---> pi^+ pi^- n reaction on polarized target
• Chiral Suppression of Scalar Glueball Decay
• The Mixing Angle of the Lightest Scalar Nonet
• The Photoproduction of Hybrid Mesons from Cebaf to HERA
• Glueballs, closed fluxtubes and eta(1440)
• On the ϕ(1020)f_0(980) S-wave scattering and the Y(2175) resonance
• ppbar enhancement in B and J/Psi decay
• Light resonances in Ks K pi and eta pi pi final states in gamma gamma collisions at LEP
• Radiative Decay of Vector Quarkonium: Constraints on Glueballs and Light Gluinos
• Reply to Comment on "Chiral suppression of scalar glueball decay"
• The phi(1020) a0(980) S-wave scattering and hints for a new vector-isovector resonance
• Near threshold ppbar enhancement in the J/psi -> omega ppbar decay
• Non-Perturbative Study of the Light Pseudoscalar Masses in Chiral Dynamics
• The Glueball Candidate η(1440) as ηRadial Excitation

Cited by in corpus (39)

• Studying Exotic Hadrons in Heavy Ion Collisions
• Chiral dynamics in form factors, spectral-function sum rules, meson-meson scattering and semilocal duality
• On the size of the sigma meson and its nature
• Large-Nc Properties of the rho and f0(600) Mesons from Unitary Resonance Chiral Dynamics
• A chiral covariant approach to $\rho \rho$ scattering
• Chiral dynamics in U(3) unitary chiral perturbation theory
• Theoretical study of the $KK\bar{K}$ system and dynamical generation of the K(1460) resonance
• Theoretical support for the $\pi (1300)$ and the recently claimed $f_0(1790)$ as molecular resonances
• Glueballs as the Ithaca of meson spectroscopy
• Finite volume treatment of pi pi scattering and limits to phase shifts extraction from lattice QCD
• Study of the $DKK$ and $DK\bar{K}$ systems
• Analysis on the composite nature of the light scalar mesons $f_0(980)$ and $a_0(980)$
• A study of $\eta K\bar{K}$ and ${\eta }^{\prime }K\bar{K}$ with the fixed center approximation to Faddeev equations
• Chiral Nonet Mixing in ${\eta }^{\prime }\to \eta \pi \pi$ Decay
• Revisiting the pseudoscalar meson and glueball mixing and key issues in the search for pseudscalar glueball state
• Three-body model for $K(1460)$ resonance
• Remarks on non-perturbative three--body dynamics and its application to the $KK\bar{K}$ system
• Pseudotensor mesons as three-body resonances
• Partial decay widths of $\varphi (2170)$ to kaonic resonances
• Probing the substructure of $f_0(1370)$
• Proximity of $f_0(1500)$ and $f_0(1710)$ to the scalar glueball
• Generalized linear sigma model with two glueballs
• The charge and mass symmetry breaking in the $KK\bar{K}$ system
• An in-medium chiral power counting for nuclear matter and some applications
• Cross sections for inelastic meson-meson scattering via quark-antiquark annihilation
• Chiral Nonet Mixing in $\pi K$ Scattering
• Electromagnetic axial anomaly in a generalized linear sigma model
• Cross sections for inelastic meson-meson scattering
• Spinless mesons and glueballs mixing patterns in SU(3) flavor limit
• Quark and glue spectroscopy of scalars and pseudoscalars in SU(3) flavor limit
• Looking for bound states and resonances in the ${\eta }^{\prime }K\bar{K}$ system
• Chiral Nonet Mixing in $\pi \eta$ Scattering
• Inelastic Meson-Meson Scattering in Hadronic Matter
• Signature of $N^{\star }$ resonance in mass spectrum of the $K\bar{K}N$ decay channels
• Three-body hadron systems with strangeness
• Cross sections for 2-to-3 meson-meson scattering
• $N_C$ evolution of the light meson resonances
• Hadronic few-body systems in chiral dynamics, -- Few-body systems in hadron physics --
• Hadron resonances generated from the dynamics of the lightest scalar ones