On meson resonances and chiral symmetry

Abstract

We study meson resonances with quantum numbers J^P=1^+ in terms of the chiral SU(3) Lagrangian. At leading order a parameter-free prediction is obtained for the scattering of Goldstone bosons off vector mesons with J^P=1^- once we insist on approximate crossing symmetry of the unitarized scattering amplitude. A resonance spectrum arises that is remarkably close to the empirical pattern. In particular, we find that the strangeness-zero resonances h_1(1380), f_(1285) and b_1(1235) are formed due to strong K \bar K_μand \bar K K_μchannels. This leads to large coupling constants of those resonances to the latter states.

29 pages, 6 figures, more detailed discussions are given

References in corpus (3)

• Chiral Dynamics of the Two Λ(1405) States
• A low-lying scalar meson nonet in a unitarized meson model
• Quark mass dependence of s-wave baryon resonances

Cited by in corpus (174)

• Hadronic molecules
• Baryons as relativistic three-quark bound states
• The nature of the Lambda(1405) resonance in chiral dynamics
• Low lying axial-vector mesons as dynamically generated resonances
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Coupled-channel study of crypto-exotic baryons with charm
• Vector meson-vector meson interaction in a hidden gauge unitary approach
• Dynamically generated resonances from the vector octet-baryon octet interaction
• Meson vacuum phenomenology in a three-flavor linear sigma model with (axial-)vector mesons
• The ρρinteraction in the hidden gauge formalism and the f_0(1370) and f_2(1270) resonances
• Origin of resonances in the chiral unitary approach
• Analytic properties of the scattering amplitude and resonances parameters in a meson exchange model
• Axial Resonances in the Open and Hidden Charm Sectors
• Baryonic Resonances from Baryon Decuplet-Meson Octet Interaction
• Hidden gauge formalism for the radiative decays of axial-vector mesons
• X(2175) as a resonant state of the $\varphi K\bar{K}$ system
• The s-wave charmed baryon resonances from a coupled-channel approach with heavy quark symmetry
• Radiative and isospin-violating decays of Ds mesons in the hadrogenesis conjecture
• Scattering lengths of Nambu-Goldstone bosons off $D$ mesons and dynamically generated heavy-light mesons
• Open-charm systems in cold nuclear matter
• Clues for the existence of two $K_1(1270)$ resonances
• SU(6) Extension of the Weinberg-Tomozawa Meson-Baryon Lagrangian
• Electromagnetic transition form factors of light vector mesons
• Effects of pseudoscalar-baryon channels in the dynamically generated vector-baryon resonances
• Dynamically generated open charmed baryons beyond the zero range approximation
• PANDA Phase One
• Anomaly in the K^0_S Sigma^+ photoproduction cross section off the proton at the K* threshold
• On the cross section ratio sigma_n/sigma_p in eta photoproduction
• Quasi-free photoproduction of eta-mesons off the deuteron
• On chiral extrapolations of charmed meson masses and coupled-channel reaction dynamics
• Baryon resonances from chiral coupled-channel dynamics
• Dynamically generated resonances from the vector octet-baryon decuplet interaction
• $f_1(1285)$ decays into $a_0(980){\pi }^0$, $f_0(980){\pi }^0$ and isospin breaking
• D-wave baryon resonances with charm from coupled-channel dynamics
• Hidden beauty baryon states in the local hidden gauge approach with heavy quark spin symmetry
• On the radiative decays of light vector and axial-vector mesons
• Pseudocalar meson and vector meson interactions and dynamically generated axial-vector mesons
• Dynamical generation and dynamical reconstruction
• Low-lying even parity meson resonances and spin-flavor symmetry
• Phenomenology of axial-vector and pseudovector mesons: decays and mixing in the kaonic sector
• Scattering of unstable particles in a finite volume: the case of pi rho scattering and the a1(1260) resonance
• Baryon self energies in the chiral loop expansion
• Electromagnetic transitions in an effective chiral Lagrangian with the eta-prime and light vector mesons
• Dynamical light vector mesons in low-energy scattering of Goldstone bosons
• The bound state problem of S-wave heavy quark meson-aitimeson systems
• The phase and pole structure of the N*(1535) in piN-->piN and gammaN-->piN
• The $Z_{cs}(3985)$ as a threshold effect from the ${\bar{D}}_s^{\ast }D+{\bar{D}}_s{D}^{\ast }$ interaction
• Axial resonances a1(1260), b1(1235) and their decays from the lattice
• Information on the structure of the a1 from tau decay
• Few-body systems consisting of mesons
• On the nature of the $\Lambda (1405)$ and $\Lambda (1670)$ from their $N_c$ behavior in chiral dynamics
• Nature of the axial-vector mesons from their Nc behavior within the chiral unitary approach
• Level crossing of particle-hole and mesonic modes in eta mesic nuclei
• Helicity amplitudes and electromagnetic decays of hyperon resonances
• Pole position of the $a_1(1260)$ resonance in a three-body unitary framework
• Revising the $f_1(1420)$ resonance
• Triangle singularity in the $J/\psi \to K^{+}{K}^{-}{f}_0(980)(a_0(980))$ decays
• First Measurement of the Polarization Observable E in the $\vec{p}(\vec{\gamma },{\pi }^{+})n$ Reaction up to 2.25 GeV
• Composite and elementary natures of a1(1260) meson
• Large Nc Weinberg-Tomozawa interaction and negative parity s--wave baryon resonances
• Clues to the nature of the Delta^*(1700) resonance from pion- and photon-induced reactions
• The family of strange multiquarks related to the Ds(2317) and Ds(2457)
• Photoproduction of the $f_1(1285)$ Meson
• Revisiting the $\Omega (2012)$ as a hadronic molecule and its strong decays
• Three-body dynamics of the $a_1(1260)$ resonance from lattice QCD
• Dalitz plots and lineshape of $a_1(1260)$ from a relativistic three-body unitary approach
• Open charm meson in nuclear matter at finite temperature beyond the zero range approximation
• $\Omega (2012)$ through the looking glass of flavour SU(3)
• Resonances in QCD
• The role of the N*(1535) resonance and the pi^- p --> KY amplitudes in the OZI forbidden pi N --> phi N reaction
• Masses of Scalar and Axial-Vector B Mesons Revisited
• Radiative decay of the Delta(1700)
• Photon-fusion reactions from the chiral Lagrangian with dynamical light vector mesons
• Helicity Amplitudes of the Lambda(1670) and two Lambda(1405) as dynamically generated resonances
• Anomalous enhancement of the isospin-violating $\Lambda (1405)$ production by a triangle singularity in ${\Lambda }_c\to {\pi }^{+}{\pi }^0{\pi }^0{\Sigma }^0$
• A note on possible interpretations for the $D_{SJ}^{+}(2632)$ observed by SELEX
• New data on $\vec{\gamma }\vec{p}\to \eta p$ with polarized photons and protons and their implications for $N^{\ast }\to N\eta$ decays
• Analysis of the ${\eta }_1(1855)$ as a $K{\bar{K}}_1(1400)$ molecular state
• Hadronic three-body decays of light vector mesons
• Near Mass Degeneracy in the Scalar Meson Sector: Implications for $B_{(s)0}^{\ast }$ and $B_{(s)1}^{\prime }$ Mesons
• Low-lying even parity meson resonances and spin-flavor symmetry revisited
• Quantum loops in radiative decays of the $a_1$ and $b_1$ axial-vector mesons
• Exclusive semileptonic $B_s\to K\ell \nu$ decays on the lattice
• Pion-nucleon charge-exchange amplitudes above 2 GeV
• The $K\bar{K}\pi$ decay of the $f_1(1285)$ and its nature as a $K^{\ast }\bar{K}-cc$ molecule
• The rho meson in a scenario of pure chiral restoration
• Tau decay and the structure of the a1
• On kinematical constraints in boson-boson systems
• Analysis of recent CLAS data on $f_1(1285)$ photoproduction
• Hadronic molecular states from the $K{\bar{K}}^{\ast }$ interaction
• A novel probe of chiral restoration in nuclear medium
• Observation of a cusp-like structure in the $\gamma p\to K^{+}{\Sigma }^0$ cross section at forward angles and low momentum transfer
• On the consistency of recent QCD lattice data of the baryon ground-state masses
• $\tau$ decay into a pseudoscalar and an axial-vector meson
• The ${\Lambda }_c(2595)$ resonance as a dynamically generated state: the compositeness condition and the large $N_c$ evolution
• Discerning the two $K_1(1270)$ poles in $D^0\to {\pi }^{+}VP$ decay
• Testing the nature of the $\Lambda (1520)$ resonance in proton-induced production
• Spectral representation for u- and t-channel exchange processes in a partial-wave decomposition
• Prediction of possible exotic states in the $\eta \bar{K}{K}^{\ast }$ system
• ${\tau }^{-}\to {\nu }_{\tau }{M}_1{M}_2$, with $M_1,M_2$ pseudoscalar or vector mesons
• On chiral excitations with exotic quantum numbers
• Decay modes of the excited pseudoscalar glueball
• Signatures of the two $K_1(1270)$ poles in $D^{+}\to \nu e^{+}VP$ decay
• $A$ dependence of the $\gamma$- and $p$-induced production of the $\Lambda (1520)$ from nuclei
• Theoretical description of the $\mathbf{J}/\mathbf{\psi }\to \mathbf{\eta }({\mathbf{\eta }}^{\prime }){\mathbf{h}}_1(1380)$, $\mathbf{J}/\mathbf{\psi }\to \mathbf{\eta }({\mathbf{\eta }}^{\prime }){\mathbf{h}}_1(1170)$ and $\mathbf{J}/\mathbf{\psi }\to {\mathbf{\pi }}^0{\mathbf{b}}_1(1235{)}^0$ reactions
• Coupled-channel dynamics with chiral long-range forces in the open-charm sector of QCD
• Radiative decay into $\gamma P$ of the low lying axial-vector mesons
• On the chiral expansion of vector meson masses
• Partial decay widths of $\varphi (2170)$ to kaonic resonances
• Pseudotensor mesons as three-body resonances
• Vector meson mass in the chiral symmetry restored vacuum
• The Lorentz- and CPT-Violating Standard Model Extension in Chiral Perturbation Theory
• The ${\chi }_{cJ}$ decay to $\varphi K^{\ast }\bar{K},\varphi h_1(1380)$ testing the nature of axial vector meson resonances
• The $K^{-}p\to f_1(1285)\Lambda$ reaction within an effective Lagrangian approach
• $J/\psi$ decay into $\varphi (\omega )$ and vector-vector molecular states
• Role of the triangle mechanism in the ${\Lambda }_b\to {\Lambda }_c{\pi }^{-}{f}_0(980)$ reaction
• $\tau \to f_1(1285){\pi }^{-}{\nu }_{\tau }$ decay in the extended Nambu -- Jona-Lasinio model
• The three-pion decays of the $a_1(1260)$
• Information on the structure of the rho meson from the pion form-factor
• Measurement of polarisation observables in $K_s^0{\Sigma }^{+}$ photoproduction off the proton
• QCD sum rules at finite density in the large-N_c limit: The coupling of the rho-nucleon system to the D_{13}(1520)
• The role of $a_1(1260)$ in ${\pi }^{-}p\to a_1^{-}(1260)p$ and ${\pi }^{-}p\to {\pi }^{-}{\rho }^{0}p$ reactions near threshold
• Renormalisation of the low-energy constants of chiral perturbation theory from loops with dynamical vector mesons
• Scalar and axial-vector mesons
• Chiral Unitary Dynamics of Hadrons and Hadrons in a Nuclear Medium
• Eta Photoproduction as a Test of the Extended Chiral Symmetry
• Chiral symmetry and strangeness at SIS energies
• On kinematical constraints in fermion-antifermion systems
• Properties of hadrons in a chiral model with (axial-)vector mesons
• Meson-Baryon s-wave Resonances with Strangeness -3
• Resonances and the Weinberg--Tomozawa 56-baryon --35-meson interaction
• Molecular nature of the $a_1$(1260) axial-vector meson
• The vertex corrections due to the triangle singularity mechanism in the light axial vector meson couplings to $K^{\ast }\bar{K}+c.c.$
• Strange Quarkonium States at BESIII
• $J/\psi \to \gamma \pi \pi$, $\gamma {\pi }^0\eta$ reactions and the $f_0(980)$ and $a_0(980)$ resonances
• The $\pi f_0(500)$ decay of the $a_1(1260)$
• Faddeev fixed center approximation to $\pi \bar{K}{K}^{\ast }$ system and the ${\pi }_1(1600)$
• Tau decay into ${\nu }_{\tau }$ and $a_1(1260)$, $b_1(1235)$, and two $K_1(1270)$
• Complete Relativistic Description of the N*(1520)
• Time-delay in a multi-channel formalism
• On coupled-channel dynamics in the presence of anomalous thresholds
• On kinematical constraints in the hadrogenesis conjecture for the baryon resonance spectrum
• Nonperturbative scalar-meson resonances with open charm and beauty
• rho-rho-N and rho-rho-Delta molecules with $J^P=5/2^{+}$ and $J^P=7/2^{+}$
• Decay rates $f_1(1285)\to {\rho }^0{\pi }^{+}{\pi }^{-}$ and $a_1(1260)\to \omega {\pi }^{+}{\pi }^{-}$ in the Nambu -- Jona-Lasinio model
• $J/\psi$ decay to $\varphi ,\omega ,K^{\ast 0}$ plus $f_0(1370)$, $f_0(1710)$, $K_0^{\ast }(1430)$, $f_2(1270)$, $f_2^{\prime }(1525)$ and $K_2^{\ast }(1430)$: role of the $D$-wave for tensor production
• Masses of the lowest spin-0 and spin-1 meson nonets: explicit symmetry breaking effects
• Faddeev fixed-center approximation to the $\eta K^{\ast }{\bar{K}}^{\ast }$, $\pi K^{\ast }{\bar{K}}^{\ast }$ and $K{K}^{\ast }{\bar{K}}^{\ast }$ systems
• Proposal and theoretical formalism for studying baryon radiative decays from J/ψ\to B^*\bar B + \bar{B^*}B \to γB\bar B
• Study of $a_1(1260)$ in the $\gamma p\to {\pi }^{+}{\pi }^{+}{\pi }^{-}n$ reaction
• The role of meson interactions in the $D_s^{+}\to {\pi }^{+}{\pi }^{+}{\pi }^{-}\eta$ decay
• Chiral Partners in a Chirally Broken World
• Testing the origin of the "$f_1(1420)$" with the $\bar{K}p\to \Lambda (\Sigma )K\bar{K}\pi$ reaction
• Dynamically generated hidden-charm baryon resonances
• Testing the nature of the $\Lambda$(1520) in the $J/\psi \to \bar{\Lambda }{K}^{-}p$ and $J/\psi \to \bar{\Lambda }{\pi }^{+}{\pi }^{-}\Lambda$ reactions
• Chiral Partners and their Electromagnetic Radiation -- Ingredients for a systematic in-medium calculation
• Complex 2D Matrix Model and Geometrical Map on Complex-Nc Plane
• Polarization amplitudes in ${\tau }^{-}\to {\nu }_{\tau }VP$ decay beyond the standard model
• Dynamically generated states from the $\eta K^{\ast }{\bar{K}}^{\ast }$, $\pi K^{\ast }{\bar{K}}^{\ast }$, and $K{K}^{\ast }{\bar{K}}^{\ast }$ systems within the fixed-center approximation
• Baryonic Resonances from Baryon Decuplet-Meson Octet Interactions and the Exotic Resonance S=1, I=1, J^P=3/2-
• Electromagnetic form factors of hyperons in a relativistic quark model
• Quark-mass dependence of baryon resonances
• Towards an effective field theory for vector mesons
• Recent developments in chiral dynamics of hadrons and hadrons in a nuclear medium
• Photo- and Electron-Production of Mesons on Nucleons and Nuclei
• Dynamics of strong and radiative decays of Ds-mesons in the hadrogenesis conjecture
• Dynamics of strong and radiative decays of Ds mesons
• Observation of the singly Cabibbo suppressed decay $D^0\to b_1(1235{)}^{-}{e}^{+}{\nu }_e$ and evidence for $D^{+}\to b_1(1235{)}^0{e}^{+}{\nu }_e$
• Electromagnetic transition form factors and Dalitz decays of hyperons
• Meson and Baryon resonances
• Amplitude Analysis of the Isospin-Violating Decay $J/\psi \to \gamma \eta {\pi }^0$
• Correlation function for the $n{\bar{D}}_{s0}^{\ast }(2317)$ interaction and the issue of elastic unitarity
• $\Xi$(2030) and $\Xi$(2120) as ${\bar{K}}^{\ast }\Sigma$ molecular states
• Recent Developments in Chiral Unitary Dynamics of Resonances