Non-perturbative Approach to effective chiral Lagrangians and Meson Interactions

Abstract

We develop a coupled channel unitary approach describing the behavior at higher energies of systems whose low-energy dynamics is given by effective O(p^2) and O(p^4) chiral Lagrangians. Our free parameters are those of the O(p^4) Lagrangian. When applied to the meson-meson interaction, it yields a remarkable agreement with data up to sqrt{s}=1.2 GeV, dynamically generating the sigma, f_0, a_0,rho and K^* resonances. Further applications are also proposed.

References corrected, to be published in Physical Review Letters

Cited by in corpus (269)

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• Determination of the lightest strange resonance $K_0^{\ast }(700)$ or $\kappa$, from a dispersive data analysis
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• Chiral Nonet Mixing in pi pi Scattering
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• The anomalous process gamma pi -> pi pi to two loops
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• Chiral Perturbation Theory and the f2(1270) resonance
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• Partial twisting for scalar mesons
• Low-lying even parity meson resonances and spin-flavor symmetry revisited
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• Analysis on the composite nature of the light scalar mesons $f_0(980)$ and $a_0(980)$
• The non-ordinary Regge behavior of the K*0(800) or Kappa-meson versus the ordinary K*0(1430)
• Chiral Nonet Mixing in ${\eta }^{\prime }\to \eta \pi \pi$ Decay
• Possible experimental signatures at the LHC of strongly interacting electro-weak symmetry breaking
• Unitarized pion-nucleon scattering within Heavy Baryon Chiral Perturbation Theory
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• Three-body model for $K(1460)$ resonance
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• Light scalar mesons in $J/psi->$NN$mesonmeson$ decays in a chiral unitary approach
• Bound states on the lattice with partially twisted boundary conditions
• Properties of strange vector mesons in dense and hot matter
• Evaluation of the $\pi \pi$ scattering amplitude in the $\sigma$-channel at finite density
• Nature of the $X(6900)$ in partial wave decomposition of $J/\psi J/\psi$ scattering
• Photoproduction of scalar mesons on protons and nuclei
• $P_{cc}^N$ states in a unitarized coupled-channel approach
• Chiral Symmetry and light resonances in hot and dense matter
• Are three flavors special?
• Limits on Lepton Flavor Violation from μ-e-conversion
• Scalar resonances in a unitary $\pi -\pi$ $S$-wave model for $D^{+}\to {\pi }^{+}{\pi }^{-}{\pi }^{+}$
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• Interpreting a 2 TeV resonance in WW scattering
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• Chiral condensate thermal evolution at finite baryon chemical potential within Chiral Perturbation Theory
• Probing the substructure of $f_0(1370)$
• Scrutinizing $\pi \pi$ scattering in light of recent lattice phase shifts
• Unveiling the $a_0(1710)$ nature in the process $J/\psi \to {\bar{K}}^0{K}^{+}{\rho }^{-}$
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• A New Decomposition of pion-pion S-wave Interaction
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• Two photon decay of neutral scalars below 1.5 GeV in a chiral model for bar{q}q and bar{q}bar{q}qq states
• The thermal evolution of nuclear matter at zero temperature and definite baryon number density in chiral perturbation theory
• Properties of light resonances from unitarized Chiral perturbation theory: Nc behavior and quark mass dependence
• Masses of Heavy and Light Scalar Tetraquarks in a Non-Relativistic Quark Model
• Remark on pion scattering lengths
• Meson model for f_0(980) production in peripheral pion-nucleon reactions
• Generalized linear sigma model with two glueballs
• On the two-body decay processes of the predicted three-body $K^{\ast }(4307)$ resonance
• Renormalization of the f0(980) and a0(980) scalar resonances in a nuclear medium
• Glueball-glueball scattering and the glueballonium
• Non-Perturbative Study of the Light Pseudoscalar Masses in Chiral Dynamics
• Decay of vector-vector resonances into $\gamma$ and a pseudoscalar meson
• The $\varphi p$ bound state in the unitary coupled-channel approximation
• Formation of sigma Mesic Nuclei in (d,t) and (d,^3He) Reactions
• Relativistic unitary description of pi pi scattering
• Large-$N$ pion scattering at finite temperature: the $f_0(500)$ and chiral restoration
• Hadronic molecular states with the quark contents $bc\bar{s}\bar{q}$, $b\bar{c}s\bar{q}$, and $b\bar{c}\bar{s}q$
• Chiral Nonet Mixing in $\pi K$ Scattering
• Comparing the Higgs Sector of Electroweak Theory with the Scalar Sector of Low Energy QCD
• SU(6)$\supset$SU(3)xSU(2) and SU(8)$\supset$SU(4)xSU(2) Clebsch-Gordan coefficients
• Unitarized chiral perturbation theory of hadrons
• Cross sections for inelastic meson-meson scattering via quark-antiquark annihilation
• Compositeness of hadron resonances in finite volume
• Resonances, Chiral Symmetry, Coupled Channel Unitarity and Effective Lagrangians
• Probing scalar mesons in semi-leptonic decays of $D_s^{+}$, $D^{+}$ and $D^0$
• Connections between chiral Lagrangians and QCD sum-rules
• On coupled-channel dynamics in the presence of anomalous thresholds
• Degeneracy patterns of chiral companions at finite temperature
• Electromagnetic trace anomaly in a generalized linear sigma model
• P-wave pi pi amplitude from dispersion relations
• Spinless mesons and glueballs mixing patterns in SU(3) flavor limit
• Is there an isovector companion of the X(2175)?
• Quark and glue spectroscopy of scalars and pseudoscalars in SU(3) flavor limit
• VMD, chiral loops, sigma-meson, and omega-rho mixing in omega-->pi^0 pi^0 gamma decay
• Low-mass enhancement of kaon pairs in $B^{+}\to {\bar{D}}^{(\ast )0}{K}^{+}{\bar{K}}^0$ and $B^0\to D^{(\ast )-}{K}^{+}{\bar{K}}^0$ decays
• Chiral Nonet Mixing in $\pi \eta$ Scattering
• Unitarization Technics in Hadron Physics with Historical Remarks
• Inelastic Meson-Meson Scattering in Hadronic Matter
• Strong correlation of the neutron star core-crust transition density with the $\sigma$-meson mass via vacuum polarization
• Charge asymmetries in e+e- -> pi+ pi- gamma at the phi resonance
• Asymmetry observables in e+ e- --> pi+ pi- gamma in the phi region within a chiral unitary approach
• Dynamical generation of hadronic resonances
• States generated in the $K$-multi-$\rho$ interactions
• Quark mass dependence of the low-lying charmed mesons at one loop in HH$\chi$PT
• Testing the light scalar meson as a non-$q\bar{q}$ state in semileptonic $D$ decays
• Photoproduction of meson and baryon resonances in a chiral unitary approach
• The structure of the f_0(980) from system size dependent hadronic resonance ratios in p+p, p+Pb, and Pb+Pb collisions at the LHC
• The $({\pi }^{-},\gamma \gamma )$ reaction in nuclei and the $\sigma$ meson in the medium
• Unitarity and Unitarization
• Determining Compositeness of Hadronic Resonances: the $\Lambda (1405)$ Radiative Decay and the $a_0(980)$-$f_0(980)$ Mixing
• Introducing tools to test Higgs interactions via $WW$ scattering II: the coupled channel formalism and scalar resonances
• Revealing dipion correlations for the observed substructure near the ${\pi }^{+}{\pi }^{-}$ mass threshold in $\psi (3686)\to J/\psi {\pi }^{+}{\pi }^{-}$
• $N_C$ evolution of the light meson resonances
• SU(3) Chiral approach to meson and baryon dynamics
• Pre-critical Chiral Fluctuations in Nuclear Medium -- precursors of chiral restoration at $ρ_{B}\not=0 --
• Recent progress on the chiral unitary approach to meson meson and meson baryon interactions
• Study of conventional and non-conventional scalar and vector mesons
• Unitarizing infinite-range forces: Graviton-graviton scattering, the graviball, and Coulomb scattering
• The Inverse Amplitude Method and Heavy Baryon Chiral Perturbation Theory applied to pion-nucleon scattering
• From QCD to Physical Resonances
• A Non-Perturbative Chiral Approach for Meson-Meson Interactions
• Hadron resonances generated from the dynamics of the lightest scalar ones
• Emergence of ghost in once-subtracted on-shell unitarization in glueball-glueball scattering
• The scalars $a_0(980)$ and $f_0(980)$ in the process $D_s^{+}\to K^{+}{K}^{-}{\pi }^{+}$
• Chiral unitary theory: application to nuclear problems
• $N^{\ast }(1920)(1/2^{+})$ state in the $NK\bar{K}$ system
• Thermal evolution of the chiral condensate in SU(2) and SU(3) Chiral Perturbation Theory