Towards a theory of hadron resonances

Abstract

In this review, we present the current state of the art of our understanding of the spectrum of excited strongly interacting particles and discuss methods that allow for a systematic and model-independent calculation of the hadron spectrum. These are lattice QCD and effective field theories. Synergies between both approaches can be exploited allowing for deeper understanding of the hadron spectrum. Results based on effective field theories and hadron-hadron scattering in lattice QCD or combinations thereof are presented and discussed. We also show that the often used Breit-Wigner parameterization is at odds with chiral symmetry and should not be used in case of strongly coupled channels.

75 pages, 21 figures, commissioned article for Physics Reports

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• $D_s$ mesons with $DK$ and $D^{\ast }K$ scattering near threshold
• Analytic properties of the scattering amplitude and resonances parameters in a meson exchange model
• Resonances in coupled πK,ηK scattering from quantum chromodynamics
• Three-body Unitarity in the Finite Volume
• Scalar mesons in a finite volume
• Quark mass dependence of the rho and sigma from dispersion relations and Chiral Perturbation Theory
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• New insights into antikaon-nucleon scattering and the structure of the Lambda(1405)
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• Pion-nucleon scattering in the Roper channel from lattice QCD
• Chiral Effective-Field Theory in the Delta(1232) Region: Pion Electroproduction on the Nucleon
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• Chiral Extrapolations and the Covariant Small Scale Expansion
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• Equivalence of relativistic three-particle quantization conditions
• Studying the $\rho$ resonance parameters with staggered fermions
• On the radiative decays of light vector and axial-vector mesons
• A novel analysis method for excited states in lattice QCD - the nucleon case
• Lattice QCD study of the s-wave $\pi \pi$ scattering lengths in the I=0 and 2 channels
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• Construction of energy-independent potentials above inelastic thresholds in quantum field theories
• Novel approaches in Hadron Spectroscopy
• $F_K/F_{\pi }$ from Möbius domain-wall fermions solved on gradient-flowed HISQ ensembles
• Lattice QCD approach to Nuclear Physics
• Lattice study on ${\eta }_{c2}$ and X(3872)
• Pole position of the $a_1(1260)$ resonance in a three-body unitary framework
• Consistency of the $\pi \Delta$ interaction in chiral perturbation theory
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• Implementing the three-particle quantization condition for ${\pi }^{+}{\pi }^{+}{K}^{+}$ and related systems
• Bottomonium resonances with $I=0$ from lattice QCD correlation functions with static and light quarks
• $B_s{\pi }^{+}$ scattering and search for X(5568) with lattice QCD
• Decay amplitudes to three hadrons from finite-volume matrix elements
• Tetraquark interpolating fields in a lattice QCD investigation of the $D_{s0}^{\ast }(2317)$ meson
• Lattice QCD study on $K^{\ast }(892)$ meson decay width
• Modeling few-body resonances in finite volume
• Aspects of the low-energy constants in the chiral Lagrangian for charmed mesons
• On the three-particle analog of the Lellouch-Lüscher formula
• $K\to \pi \pi$ Decays in SU(2) Chiral Perturbation Theory
• Implications of chiral symmetry on $S$-wave pionic resonances and the scalar charmed mesons
• The width of the $\Delta$-resonance at two loop order in baryon chiral perturbation theory
• Infrared regularization with vector mesons and baryons
• On the definition of the Δmass and width
• Emergence of the $\rho$ resonance from the HAL QCD potential in lattice QCD
• Vector form factor of the pion in chiral effective field theory
• One-loop renormalization of the chiral Lagrangian for spinless matter fields in the SU(N) fundamental representation
• Subtraction of power counting breaking terms in chiral perturbation theory: spinless matter fields
• Chiral symmetry constraints on resonant amplitudes
• Phenomenological view on baryon-baryon potentials from lattice QCD simulations
• Substructure of Multiquark Hadrons (Snowmass 2021 White Paper)
• Hadronic decays from the lattice
• A study of $\rho -\omega$ mixing in resonance chiral theory
• $\pi \pi$ scattering in partially-quenched twisted-mass chiral perturbation theory
• The Roper Resonance in a finite volume
• The chiral limit of QCD and above

Cited by in corpus (43)

• An updated review of the new hadron states
• Study of the $DK$ interaction with femtoscopic correlation functions
• Cross-channel constraints on resonant antikaon-nucleon scattering
• Light baryon resonances from a coupled-channel study including $\mathbf{K\Sigma }$ photoproduction
• Femtoscopic signatures of the lightest S-wave scalar open-charm mesons
• Benchmark calculations of fully heavy compact and molecular tetraquark states
• Interactions of $\pi K$, $\pi \pi K$ and $KK\pi$ systems at maximal isospin from lattice QCD
• $\omega$ meson from lattice QCD
• Production of exotic hadrons in $pp$ and nuclear collisions
• Revealing the nature of hidden charm pentaquarks with machine learning
• Three-body resonances in the ${\phi }^4$ theory
• Decay behaviors of the fully-bottom and fully-charm tetraquark states
• Determination of crossing-symmetric $\pi \pi$ scattering amplitudes and the quark mass evolution of the $\sigma$ constrained by lattice QCD
• Doubly heavy tetraquark bound and resonant states
• The isospin-3 three-particle $K$-matrix at NLO in ChPT
• Particle-dimer approach for the Roper resonance in a finite volume
• New Hadrons Discovered at BESIII
• Fully strange tetraquark resonant states as the cousins of $X(6900)$
• Fully heavy tetraquark resonant states with different flavors
• $\sigma$ exchange in the one-boson exchange model involving the ground state octet baryons
• Hadronic molecular states with the quark contents $bc\bar{s}\bar{q}$, $b\bar{c}s\bar{q}$, and $b\bar{c}\bar{s}q$
• Effects of Final State Interactions on Landau Singularities
• Double-strangeness exchange reactions in a hybrid Regge-plus-resonance approach
• Physical-mass calculation of $\rho (770)$ and $K^{\ast }(892)$ resonance parameters via $\pi \pi$ and $K\pi$ scattering amplitudes from lattice QCD
• Global Data-Driven Determination of Baryon Transition Form Factors
• ${\bar{B}}^0\to {\bar{K}}^{(\ast )0}X$, $B^{-}\to K^{(\ast )-}X$, ${\bar{B}}_s^0\to \eta ({\eta }^{\prime },\varphi )X$ from the $X(3872)$ molecular perspective
• Interpretation of near-threshold peaks using the method of independent S-matrix poles
• Fully charmed P-wave tetraquark resonant states in the quark model
• Polarization observables in double neutral pion photoproduction
• Decay properties of light $1^{-+}$ hybrids
• Correlations of $C$ and $CP$ violation in $\eta \to {\pi }^0{\ell }^{+}{\ell }^{-}$ and ${\eta }^{\prime }\to \eta {\ell }^{+}{\ell }^{-}$
• Is the $3S$-$2D$ mixing strong for the charmonia $\psi (4040)$ and $\psi (4160)$?
• Construction of general $N$-body lattice operators with arbitrary momenta
• A coupled-channel perspective analysis on bottom-strange molecular pentaquarks
• Interactions of the Pseudoscalar Meson Octet and the Baryon Decuplet in the Continuum and a Finite Volume
• A note on the tensor and vector exchange contributions to $K\bar{K}\to K\bar{K},D\bar{D}\to D\bar{D}$ and ${\pi }^{+}{\pi }^{-}\to {\pi }^{+}{\pi }^{-}$ reactions
• Investigating the two-pion exchange of the double charm $D{D}^{\ast }$ chiral interactions and $T_{cc}$
• Emergence of the $\pi (1300)$ Resonance from Lattice QCD
• Form factors of the $\rho$ meson from effective field theory and the lattice
• Learning Pole Structures of Hadronic States using Predictive Uncertainty Estimation
• Scattering Theory
• An analysis on doubly bottom molecular tetraquarks composed of $H_{(s)}$ and $T_{(s)}$ doublets
• Low-energy $DD$ scattering in lattice QCD