Ordinary and exotic mesons in the extended Linear Sigma Model

Abstract

The extended Linear Sigma Model (eLSM) is a hadronic model based on the global symmetries of QCD and the corresponding explicit, anomalous, and spontaneous breaking patterns. In its basic three-flavor form, its mesonic part contains the dilaton/glueball as well as the nonets of (pseudo)scalar and (axial-)vector mesons, thus chiral symmetry is linearly realized. In the chiral limit and neglecting the chiral anomaly, only one term -- within the dilaton potential -- breaks dilatation invariance. Spontaneous symmetry breaking is implemented by a generalization of the Mexican-hat potential, with explicit symmetry breaking responsible for its tilting. The overall mesonic phenomenology up to 2 GeV is in agreement with the PDG compilation of masses and decay widths. The eLSM was enlarged to include other conventional quark-antiquark nonets (pseudovector and orbitally excited vector mesons, (axial-)tensor mesons, etc.), as well as two nonets of hybrid mesons, the lightest one with exotic quantum numbers $J^{PC}=1^{-+}$ not allowed for $\bar{q}q$ objects such as the resonance ${\pi }_1(1600)$ and the recently discovered ${\eta }_1(1855)$. In doing so, different types of chiral multiplets are introduced: heterochiral and homochiral multiplets, which differ in the way they transform under chiral transformations. Moreover, besides the scalar glueball, the tensor, the pseudoscalar and the vector glueballs were coupled to the eLSM: the scalar $f_0(1710)$ turns out to be mostly gluonic, the tensor glueball couples strongly to vector mesons, and the pseudoscalar glueball couples can be assigned to $X(2370)$ or $X(2600)$. The eLSM contains chiral partners on an equal footing and is therefore well suited for studies of chiral symmetry restoration at nonzero temperature and densities. The QCD phase diagram and the location of the critical endpoint were investigated within this framework.

Review paper about the extended Linear Sigma Model. Accepted in Progress in Particle and Nuclear Physics. 125 pages, 47 tables, 14 figures

References in corpus (178)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• Color superconductivity in dense quark matter
• Low energy hadron physics in holographic QCD
• Observation of $J/\psi p$ resonances consistent with pentaquark states in ${\Lambda }_b^0\to J/\psi K^{-}p$ decays
• The QCD equation of state with dynamical quarks
• Chiral effective model with the Polyakov loop
• Aspects of the Functional Renormalisation Group
• The $XYZ$ states: experimental and theoretical status and perspectives
• Phases of QCD: lattice thermodynamics and a field theoretical model
• ππscattering
• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• An updated review of the new hadron states
• Glueball Spectrum and Matrix Elements on Anisotropic Lattices
• The QCD Equation of State with almost Physical Quark Masses
• Exotica
• The Phase Structure of the Polyakov--Quark-Meson Model
• Hidden Local Symmetry at Loop -- A New Perspective of Composite Gauge Boson and Chiral Phase Transition
• Infrared Properties of QCD from Dyson-Schwinger equations
• Baryons as relativistic three-quark bound states
• QCD at Low Energies
• Constituent quark model study of the meson spectra
• From controversy to precision on the sigma meson: a review on the status of the non-ordinary $f_0(500)$ resonance
• Quark Confinement from Color Confinement
• Instantons at work
• Precise measurement of the e+ e- to pi+ pi- (gamma) cross section with the Initial State Radiation method at BABAR
• The Physics of Glueballs
• Physics with the KLOE-2 experiment at the upgraded DA$\varphi$NE
• Toward the excited meson spectrum of dynamical QCD
• Physics Performance Report for PANDA: Strong Interaction Studies with Antiprotons
• Renormalization Flow of Bound States
• Mesonic correlation functions at finite temperature and density in the Nambu-Jona-Lasinio model with a Polyakov loop
• Hybrid Mesons
• 50 Years of Quantum Chromodynamics
• Precision SU(3) lattice thermodynamics for a large temperature range
• Toward the excited isoscalar meson spectrum from lattice QCD
• Meson vacuum phenomenology in a three-flavor linear sigma model with (axial-)vector mesons
• The Experimental Status of Glueballs
• Thermodynamics of (2+1)-flavor QCD: Confronting Models with Lattice Studies
• From Quarks and Gluons to Hadrons: Chiral Symmetry Breaking in Dynamical QCD
• Towards the glueball spectrum from unquenched lattice QCD
• Isoscalar meson spectroscopy from lattice QCD
• Confirmation of the X(1835) and observation of the resonances X(2120) and X(2370) in J/psi->gamma pi^+pi^-eta'
• Study of the strong interaction among hadrons with correlations at the LHC
• Approaches to the sign problem in lattice field theory
• Vacuum Properties of Mesons in a Linear Sigma Model with Vector Mesons and Global Chiral Invariance
• Scalar nonet quarkonia and the scalar glueball: mixing and decays in an effective chiral approach
• Observation of a J^PC = 1-+ exotic resonance in diffractive dissociation of 190 GeV/c pi- into pi- pi- pi+
• On the phase structure and thermodynamics of QCD
• Chiral perturbation theory
• Is f0(1710) a glueball?
• Observation of exotic meson production in the reaction ${\pi }^{-}p\to {\eta }^{\prime }{\pi }^{-}p$ at 18 GeV/c
• Scalar Glueball, Scalar Quarkonia, and their Mixing
• Spectral Functions for the Quark-Meson Model Phase Diagram from the Functional Renormalization Group
• Vacuum phenomenology of the chiral partner of the nucleon in a linear sigma model with vector mesons
• The glueball spectrum of SU(3) gauge theory in 3+1 dimension
• Exotic Meson Production in the $f_1(1285){\pi }^{-}$ System observed in the Reaction ${\pi }^{-}p\to \eta {\pi }^{+}{\pi }^{-}{\pi }^{-}p$ at 18 GeV/c
• Glueball Decay Rates in the Witten-Sakai-Sugimoto Model
• Determination of the pole position of the lightest hybrid meson candidate
• Mixing of scalar tetraquark and quarkonia states in a chiral approach
• The Glueball in a Chiral Linear Sigma Model with Vector Mesons
• Pion and sigma meson properties in a relativistic quark model
• Existence of the critical endpoint in the vector meson extended linear sigma model
• A chiral model for bar{q}q and bar{q}bar{q}qq$ mesons
• On the spectral functions of scalar mesons
• Scalar Glueball in Radiative $J/\psi$ Decay on Lattice
• Exotic Meson Decay to $\omega {\pi }^0{\pi }^{-}$
• Observation of an isoscalar resonance with exotic $J^{PC}=1^{-+}$ quantum numbers in $J/\psi \to \gamma \eta {\eta }^{\prime }$
• Tensors Mesons in AdS/QCD
• Decay of the pseudoscalar glueball into scalar and pseudoscalar mesons
• Decays of an exotic $1^{-+}$ hybrid meson resonance in QCD
• Nuclear matter within a dilatation-invariant parity doublet model: the role of the tetraquark at nonzero density
• Decays of tensor mesons and the tensor glueball in an effective field approach
• A covariant constituent quark/gluon model for the glueball-quarkonia content of scalar-isoscalar mesons
• Light isovector resonances in ${\pi }^{-}p\to {\pi }^{-}{\pi }^{-}{\pi }^{+}p$ at 190 GeV/$c$
• Hybrid Stars in an SU(3) Parity Doublet Model
• Status of Chemical Freeze-Out
• Scalar isoscalar mesons and the scalar glueball from radiative $J/\psi$ decays
• Electromagnetic form factors of the nucleon in chiral perturbation theory including vector mesons
• Inclusive dielectron spectra in p+p collisions at 3.5 GeV
• Chiral symmetry restoration by parity doubling and the structure of neutron stars
• An effective model for the QCD phase transitions at finite baryon density
• Vector and axial-vector correlators in a chirally symmetric model
• A Study in Depth of f0(1370)
• An amplitude analysis of the ${\pi }^0{\pi }^0$ system produced in radiative $J/\psi$ decays
• Partial wave analysis of $J/\psi \to \gamma \eta \eta$
• $a_0(980)$ revisited
• Nonchiral enhancement of scalar glueball decay in the Witten-Sakai-Sugimoto model
• What neutron stars tell about the hadron-quark phase transition: a Bayesian study
• Role of the tetraquark in the chiral phase transition
• Two chiral nonet model with massless quarks
• Including the Fermion Vacuum Fluctuations in the $(2+1)$ flavor Polyakov Quark Meson Model
• Dynamical generation and dynamical reconstruction
• Partial wave analysis of $J/\psi \to \gamma \eta {\eta }^{\prime }$
• Phenomenology of axial-vector and pseudovector mesons: decays and mixing in the kaonic sector
• Determination of the chiral condensate from 2+1-flavor lattice QCD
• K1(1270)-K1(1400) Mixing Angle and New-Physics Effects in B to K1 l+ l- Decays
• Spectrum of scalar and pseudoscalar glueballs from functional methods
• Amplitude analysis of the $K_S{K}_S$ system produced in radiative $J/\psi$ decays
• $K_0^{\ast }(800)$ as a companion pole of $K_0^{\ast }(1430)$
• How the axial anomaly controls flavor mixing among mesons
• Phenomenology of charmed mesons in the extended Linear Sigma Model
• Determination of spin-parity quantum numbers of X(2370) as $0^{-+}$ from $J/\psi \to \gamma K_S^0{K}_S^0{\eta }^{\prime }$
• Observation of B^0_(s) -> J/ψf_1(1285) decays and measurement of the f_1(1285) mixing angle
• General Structure of Relativistic Vector Condensation
• Meson Masses and Mixing Angles in 2+1 Flavor Polyakov Quark Meson Sigma Model and Symmetry Restoration Effects
• Study of the near-threshold $\omega \varphi$ mass enhancement in doubly OZI suppressed $J/\psi \to \gamma \omega \varphi$ decays
• Tetraquarks in large-$N_c$ QCD
• Strong and radiative decays of excited vector mesons and predictions for a new $\varphi (1930)$ resonance
• Polyakov SU(3) extended linear $\sigma$-model: Sixteen mesonic states in chiral phase-structure
• The phenomenology of the exotic hybrid nonet with ${\pi }_1(1600)$ and ${\eta }_1(1855)$
• Singlet-octet-glueball mixing of scalar mesons
• A Three-Flavor Chiral Effective Model with Four Baryonic Multiplets within the Mirror Assignment
• Numerical fluid dynamics for FRG flow equations: Zero-dimensional QFTs as numerical test cases. I. The $O(N)$ model
• Final state interaction and a light mass "exotic" resonance
• Glueballs as the Ithaca of meson spectroscopy
• Excited Scalar and Pseudoscalar Mesons in the Extended Linear Sigma Model
• Study on the strong decays of $\varphi (2170)$ and a grand expectation for the future charm-tau factory
• SU(3) Polyakov linear-sigma model: Conductivity and viscous properties of QCD matter in thermal medium
• Numerical fluid dynamics for FRG flow equations: Zero-dimensional QFTs as numerical test cases. II. Entropy production and irreversibility of RG flows
• Meson and glueball spectroscopy within the graviton soft wall model
• Mott dissociation of pions and kaons in hot, dense quark matter
• Observation of a state $X(2600)$ in the ${\pi }^{+}{\pi }^{-}{\eta }^{\prime }$ system in the process $J/\psi \to \gamma {\pi }^{+}{\pi }^{-}{\eta }^{\prime }$
• A simple alternative to the Breit-Wigner distribution
• Observation of $h_1(1380)$ in the $J/\psi \to {\eta }^{\prime }K\bar{K}\pi$ Decay
• The chiral phase transition and the axial anomaly
• Pion in a Box
• Exotic $J^{PC}=1^{-+}$ mesons in a holographic model of QCD
• The exotic meson ${\pi }_1(1600)$ with $J^{PC}=1^{-+}$ and its decay into $\rho (770)\pi$
• Mirror versus naive assignment in chiral models for the nucleon
• Swimming with Quarks
• Classical and quantum theory of the massive spin-two field
• Numerical fluid dynamics for FRG flow equations: Zero-dimensional QFTs as numerical test cases. III. Shock and rarefaction waves in RG flows reveal limitations of the $N\to \infty$ limit in $O(N)$-type models
• Partial wave analysis of $J/\psi \to \gamma {\eta }^{\prime }{\eta }^{\prime }$
• Influence of the axial anomaly on the decay $N(1535)\to N\eta$
• Neutron star properties with careful parameterization in the (axial)vector meson extended linear sigma model
• Phenomenology of pseudotensor mesons and the pseudotensor glueball
• Excited $J^{--}$ meson resonances at the SU(3) flavor point from lattice QCD
• SU(3) Polyakov Linear-Sigma Model With Finite Isospin Asymmetry: QCD Phase Diagram
• Measurement of the I=1/2 $K\pi$ $\mathcal{S}$-wave amplitude from Dalitz plot analyses of ${\eta }_c\to K\bar{K}\pi$ in two-photon interactions
• Yang-Mills glueball masses from spectral reconstruction
• Decays of the vector glueball
• One-loop constituent quark contributions to the vector and axial-vector meson curvature mass
• Study of Unflavored Light Mesons with $J^{PC}=2^{--}$
• Decay modes of the excited pseudoscalar glueball
• Phenomenology of $J^{PC}=3^{--}$ tensor mesons
• Search for the tensor glueball
• The Quark-Level Linear σ Model
• The case for an EIC Theory Alliance: Theoretical Challenges of the EIC
• First observations of the rare decays $B^{+}->K^{+}{\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$ and $B^{+}->\varphi K^{+}{\mu }^{+}{\mu }^{-}$
• Light Hybrid Meson Mixing and Phenomenology
• Interference Study of the chi_c0 (1^3P_0) in the Reaction Proton-Antiproton -> pi^0 pi^0
• Dirac spectrum of one-flavor QCD at θ=0 and continuity of the chiral condensate
• Radiative production and decays of the exotic ${\eta }_1^{\prime }(1855)$ and its siblings
• The fate of the critical endpoint at large $N_c$
• Radiative Meson and Glueball Decays in the Witten-Sakai-Sugimoto Model
• Axial-vector $f_1(1285)-f_1(1420)$ mixing and $B_s\to J/\psi (f_1(1285),f_1(1420))$ decays
• Role of a four-quark and a glueball state in pion-pion and pion-nucleon scattering
• Thermodynamics of the Glueball Resonance Gas
• Anomalous interactions between mesons with nonzero spin and glueballs
• Renormalisation of the low-energy constants of chiral perturbation theory from loops with dynamical vector mesons
• Glueball-glueball scattering and the glueballonium
• From well-known tensor mesons to yet unknown axial-tensor mesons
• Spectrum of QCD with one flavor: A window for supersymmetric dynamics
• Is $f_2(1950)$ the tensor glueball?
• Generalized linear sigma model with two glueballs
• Revisiting the tensor $J^{PC}=2^{--}$ meson spectrum
• Measurement of the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^0$ cross section in the energy range 0.62-3.50 GeV at Belle II
• Hadronic decays of the (pseudo-)scalar charmonium states ${\eta }_c$ and ${\chi }_{c0}$ in the extended Linear Sigma Model
• Lattice QCD: concepts, techniques and some results
• Axial-tensor Meson Family at $T\ne 0$
• Tensor meson couplings in AdS/QCD
• Constraints imposed by the partial wave amplitudes on the decays of $J=1,2$ mesons
• $B_{d,s}^0\to f_1{f}_1$ decays with $f_1(1285)-f_1(1420)$ mixing in the perturbative QCD approach
• Mesons beyond the quark-antiquark picture
• Berry's phase and chiral anomalies
• The radiative decay of scalar glueball from lattice QCD
• Experimental study of $\eta$ meson photoproduction reaction at MAMI
• Baryon octet and decuplet phenomenology in a three-flavor extended linear sigma model

Cited by in corpus (3)

• Advancing the phenomenology of GeV-scale axion-like particles
• New physics particles mixing with mesons: production in the fragmentation chain
• Parity-doubled nucleons can rapidly cool neutron stars