A Review on Partial-wave Dynamics with Chiral Effective Field Theory and Dispersion Relation

Abstract

The description of strong interaction physics of low-lying resonances is out of the valid range of perturbative QCD. Chiral effective field theories have been developed to tackle the issue. Partial wave dynamics is the systematic tool to decode the underlying physics and reveal the properties of those resonances. It is extremely powerful and helpful for our understanding of the non-perturbative regime, especially when dispersion techniques are utilized simultaneously. Recently, plenty of exotic/ordinary hadrons have been reported by experiment collaborations, e.g. LHCb, Belle, and BESIII, etc.. In this review, we summarize the recent progress on the applications of partial wave dynamics combined with chiral effective field theories and dispersion relations, on related topics, with emphasis on $\pi \pi$, $\pi K$, $\pi N$ and $\bar{K}N$ scatterings.

arXiv comment69 pages, 10 figures, 7 tables, to be the same as the published version

References in corpus (252)

• Modern Theory of Nuclear Forces
• Hadronic molecules
• The hidden-charm pentaquark and tetraquark states
• Observation of $J/\psi p$ resonances consistent with pentaquark states in ${\Lambda }_b^0\to J/\psi K^{-}p$ decays
• Chiral Dynamics in Nucleons and Nuclei
• Chiral dynamics in the presence of bound states: kaon-nucleon interactions revisited
• Non perturbative chiral approach to s-wave \bar{K}N interactions
• Pentaquark and Tetraquark states
• ππscattering
• 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
• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• FLAG Review 2019
• Chiral Dynamics of the Two Λ(1405) States
• Meson-Meson interaction in a non-perturbative chiral approach
• Exotica
• N/D Description of Two Meson Amplitudes and Chiral Symmetry
• Observation of the doubly charmed baryon ${\Xi }_{cc}^{++}$
• Mass and width of the lowest resonance in QCD
• Observation of a Narrow Resonance of Mass 2.46 GeV/c^2 Decaying to D_s^*+ pi^0 and Confirmation of the D_sJ^* (2317) State
• Nuclear effective field theory: status and perspectives
• Evidence that the a0(980) and f0(980) are not elementary particles
• The Physics of the B Factories
• First Observation of the Doubly Charmed Baryon Xi_cc^+
• The pion-pion scattering amplitude. IV: Improved analysis with once subtracted Roy-like equations up to 1100 MeV
• Extended Partial-Wave Analysis of piN Scattering Data
• A New Measurement of Kaonic Hydrogen X rays
• From controversy to precision on the sigma meson: a review on the status of the non-ordinary $f_0(500)$ resonance
• Roy equation analysis of pi pi scattering
• A new look at scalar mesons
• Scalar mesons above and below 1 GeV
• Implications of a DK Molecule at 2.32 GeV
• The nature of the Lambda(1405) resonance in chiral dynamics
• On heavy-light meson resonances and chiral symmetry
• Dynamically Generated Open and Hidden Charm Meson Systems
• Renormalization of relativistic baryon chiral perturbation theory and power counting
• SU(3) Chiral Dynamics with Coupled Channels: Eta and Kaon Photoproduction
• Mass spectra of doubly heavy baryons in the relativistic quark model
• Confirmation of the Double Charm Baryon Xi_cc+ via its Decay to p D+ K-
• Dynamically generated 0^+ heavy mesons in a heavy chiral unitary approach
• A low-lying scalar meson nonet in a unitarized meson model
• UNDERSTANDING THE SCALAR MESON $q\bar{q}$ NONET
• Threshold cusps and triangle singularities in hadronic reactions
• Chiral Perturbation Theory and Baryon Properties
• The inverse amplitude method in Chiral Perturbation Theory
• Heavy baryons
• Chiral SU(3) theory of antikaon-nucleon interactions with improved threshold constraints
• Charmed bottom baryon spectroscopy from lattice QCD
• How to reveal the exotic nature of the P_c(4450)
• Recent Developments in Chiral Perturbation Theory
• Resonances in $J/\psi \to \varphi {\pi }^{+}{\pi }^{-}$ and $\varphi K^{+}{K}^{-}$
• Baryons with two heavy quarks: Masses, production, decays, and detection
• Observation of the DsJ(2317) and DsJ(2457) in B decays
• On the structure of the scalar mesons $f_0(975)$ and $a_0(980)$
• A Theory of Scalar Mesons
• Emergence of a complete heavy-quark spin symmetry multiplet: seven molecular pentaquarks in light of the latest LHCb analysis
• Meson-meson scattering within one loop Chiral Perturbation Theory and its unitarization
• Elastic $\pi \pi$ scattering to two loops
• Effective Kbar N interaction based on chiral SU(3) dynamics
• The possible hidden-charm molecular baryons composed of anti-charmed meson and charmed baryon
• Understanding the newly observed heavy pentaquark candidates
• Observation of New States Decaying into ${\Lambda }_c^{+}{K}^{-}{\pi }^{+}$ and ${\Lambda }_c^{+}{K}_S^0{\pi }^{-}$
• Roy-Steiner-equation analysis of pion-nucleon scattering
• Dalitz Plot Analysis of the Decay D^+ --> K^- pi^+ pi^+ and Indication of a Low-Mass Scalar K pi Resonance
• Putative Light Scalar Nonet
• Strong LHCb evidence supporting the existence of the hidden-charm molecular pentaquarks
• $\bar{D}{\Sigma }_c^{\ast }$ and ${\bar{D}}^{\ast }{\Sigma }_c$ interactions and the LHCb hidden-charmed pentaquarks
• A new analysis of $\pi K$ scattering from Roy and Steiner type equations
• Precise determination of the f0(600) and f0(980) pole parameters from a dispersive data analysis
• Sigma_c Dbar and Lambda_c Dbar states in a chiral quark model
• Interactions of Charmed Mesons with Light Pseudoscalar Mesons from Lattice QCD and Implications on the Nature of the D_{s0}^*(2317)
• $D_{s0}^{\ast }(2317)$ Meson and $D$-Meson-Kaon Scattering from Lattice QCD
• Isoscalar $\pi \pi$ scattering and the $\sigma$ meson resonance from QCD
• Light Meson Spectroscopy
• A method to measure the antikaon-nucleon scattering length in lattice QCD
• Study of $P_c(4457)$, $P_c(4440)$, and $P_c(4312)$ in a quasipotential Bethe-Salpeter equation approach
• Meson-baryon reactions with strangeness -1 within a chiral framework
• Tetraquark Mesons in Large $N$ Quantum Chromodynamics
• $D_s$ mesons with $DK$ and $D^{\ast }K$ scattering near threshold
• Search for Doubly Charmed Baryons Xi_cc^+ and Xi_cc^++ in BABAR
• Improved constraints on chiral SU(3) dynamics from kaonic hydrogen
• A Discussion on Triangle Singularities in the ${\Lambda }_b\to J/\psi K^{-}p$ Reaction
• Interpretation of the LHCb $P_c$ States as Hadronic Molecules and Hints of a Narrow $P_c(4380)$
• Pion-nucleon scattering inside the Mandelstam triangle
• Interactions between heavy mesons and Goldstone bosons from chiral dynamics
• The K^*_0(800) scalar resonance from Roy-Steiner representations of pi K scattering
• Open-charm meson resonances with negative strangeness
• Phenomenology of $P_c(4380{)}^{+}$, $P_c(4450{)}^{+}$ and related states
• Constraints on the chiral unitary $\bar{K}N$ amplitude from $\pi \Sigma K^{+}$ photoproduction data
• Possible interpretations of the $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$
• Nucleon Resonances with Hidden Charm in Coupled-Channel Models
• Exploring the molecular scenario of $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$
• B_l4 decays and the extraction of |V_ub|
• Weak Decays of Doubly Heavy Baryons: SU(3) Analysis
• Pion--Nucleon Scattering in a New Approach to Chiral Perturbation Theory
• D Pi scattering and D meson resonances from lattice QCD
• Coupled-Channel $D\pi$, $D\eta$ and $D_s\bar{K}$ Scattering from Lattice QCD
• Anatomy of the newly observed hidden-charm pentaquark states: $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$
• An Analysis of ππ-Scattering Phase Shift and Existence of σ(555) particle
• Chiral Perturbation Theory Beyond One Loop
• Dispersive analysis of omega --> 3pi and phi --> 3pi decays
• Two-pole structure of the $D_0^{\ast }(2400)$
• Isospin breaking decays as a diagnosis of the hadronic molecular structure of the $P_c(4457)$
• Final State Interactions and Khuri-Treiman Equations in $\eta \to 3\pi$ decays
• Roy-Steiner equations for gamma gamma -> pi pi
• New insights into antikaon-nucleon scattering and the structure of the Lambda(1405)
• Improved description of the $\pi N$-scattering phenomenology in covariant baryon chiral perturbation theory
• Kaonic hydrogen X-ray measurement in SIDDHARTA
• Chiral unitary meson-baryon dynamics in the presence of resonances: Elastic pion-nucleon scattering
• High statistics measurement of Ke4 decay properties
• Singly and Doubly Charmed J=1/2 Baryon Spectrum from Lattice QCD
• Interpretation of the Narrow $J/\psi p$ Peaks in ${\Lambda }_b\to J/\psi p{K}^{-}$ Decay in the Compact Diquark Model
• Resonances from meson-meson scattering in U(3) CHPT
• Scattering lengths of Nambu-Goldstone bosons off $D$ mesons and dynamically generated heavy-light mesons
• MO analysis of the high statistics Belle results on $\gamma \gamma \to {\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0$ with chiral constraints
• Predicting positive parity $B_s$ mesons from lattice QCD
• Unitarized pseudoscalar meson scattering amplitudes in three flavor linear sigma models
• Masses and decay constants of the $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ from $N_f=2$ lattice QCD close to the physical point
• Global aspects of the scalar meson puzzle
• Comprehensive Amplitude Analysis of $\gamma \gamma \to {\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0$ and $\overline{K}K$ below 1.5 GeV
• Evidence for kappa Meson Production in J/psi -> bar{K}^*(892)^0K^+pi^- Process
• Analyses of pion-nucleon elastic scattering amplitudes up to $O(p^4)$ in extended-on-mass-shell subtraction scheme
• Excited spectroscopy of charmed mesons from lattice QCD
• Analysis of Kπ-scattering phase shift and existence of κ(900)-particle
• Subleading contributions to the width of the D_{s0}*(2317)
• Dynamical Generation of Scalar Mesons
• K-matrix analysis of the K-pi S-wave in the mass region 900-2100 Mev and nonet classification of scalar qqbar-states
• The $\kappa$ resonance in s wave $\pi K$ scatterings
• Couplings of light I=0 scalar mesons to simple operators in the complex plane
• Interpretation of the LHCb Pc(4312) Signal
• Chiral dynamics in form factors, spectral-function sum rules, meson-meson scattering and semilocal duality
• Relativistic Effects in the Scalar Meson Dynamics
• Two-pole structures in QCD: Facts, not fantasy!
• Pion-nucleon scattering in covariant baryon chiral perturbation theory with explicit Delta resonances
• Search for the doubly charmed baryon Xi_cc^+
• Strong and radiative decays of the doubly charmed baryons
• Two Particle States in a Box and the $s$-Matrix in Multi-Channel Scattering
• Towards a new paradigm for heavy-light meson spectroscopy
• High-statistics study of ${\boldmath ηπ^0}$ production in two-photon collisions
• Remarks on the $P_c$ structures and triangle singularities
• Rescattering and chiral dynamics in B\to ρπdecay
• Light meson mass dependence of the positive parity heavy-strange mesons
• Evidence for new interference phenomena in the decay D+ to K- pi+ mu+ nu
• Radiative decays of the doubly charmed baryons in chiral perturbation theory
• New insights into the $D_{s0}^{\ast }(2317)$ and other charm scalar mesons
• Dispersive analysis of the $\gamma {\gamma }^{\ast }\to \pi \pi$ process
• $\pi K$ Scattering in Three Flavour ChPT
• Strong and radiative decays of the $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$
• Dalitz plot analysis of Ds+ --> K+ K- pi+
• The pole structure of the unitary, crossing symmetric low energy $\pi \pi$ scattering amplitudes
• Strong decay mode $J/\psi p$ of hidden charm pentaquark states $P_c^{+}(4380)$ and $P_c^{+}(4450)$ in ${\Sigma }_c{\bar{D}}^{\ast }$ molecular scenario
• Study of the a_0(980) meson via the radiative decay phi->eta pi^0 gamma with the KLOE detector
• Decay behaviors of Pc hadronic molecules
• Three-body Final State Interaction in $\eta \to 3\pi$
• Left Hand Singularities, Hadron Form Factors and the Properties of the Sigma Meson
• The quark-mass dependence of elastic $\pi K$ scattering from QCD
• There is no $\kappa (900)$
• S wave Kπscattering and effects of κin J/ψ\to {\bar K}^{*0}(892)K^+π^-
• Antinucleon-nucleon interaction in chiral effective field theory
• An improved study of the kappa resonance and the non-exotic $s$ wave $\pi K$ scatterings up to $\sqrt{s}=2.1$GeV of LASS data
• Magnetic moments of the doubly charmed and bottomed baryons
• Two photon couplings of the lightest isoscalars from BELLE data
• Dalitz plot analysis of the D^+ -> K^-pi^+pi^+ decay
• Antinucleon-nucleon interaction at next-to-next-to-next-to-leading order in chiral effective field theory
• Chiral study of the $a_0(980)$ resonance and $\pi \eta$ scattering phase shifts in light of a recent lattice simulation
• $a_0(980)$ revisited
• $J/\psi ({\eta }_c)N$ and ${\rm Y}({\eta }_b)N$ cross sections
• The decay $\eta \to 3\pi$: study of the Dalitz plot and extraction of the quark mass ratio $Q$
• Amplitude analysis of the ${\chi }_{c1}\to \eta {\pi }^{+}{\pi }^{-}$ decays
• Isospin splittings of doubly heavy baryons
• Prediction of exotic doubly charmed baryons within chiral effective field theory
• Dalitz Plot Analysis of D_s+ -> pi+ pi- pi+
• Study of open-charm $0^{+}$ states in unitarized chiral effective theory with one-loop potentials
• Heavy-Quark Symmetry Partners of the Pc(4450) Pentaquark
• Finding the sigma pole by analytic extrapolation of $\pi \pi$ scattering data
• The branching ratio $\omega \to {\pi }^{+}{\pi }^{-}$ revisited
• On the Nature of X(4260)
• Vector Meson Masses in Chiral Perturbation Theory
• Chiral dynamics in U(3) unitary chiral perturbation theory
• Faddeev fixed-center approximation to the $N\bar{K}K$ system and the signature of a $N^{\ast }(1920)(1/2^{+})$ state
• $f_0(500)$, $f_0(980)$ and $a_0(980)$ production in the ${\chi }_{c1}\to \eta {\pi }^{+}{\pi }^{-}$ reaction
• $K_0^{\ast }(800)$ as a companion pole of $K_0^{\ast }(1430)$
• Partial waves and large $N_C$ resonance sum rules
• Hyperon electromagnetic form factors in the timelike region
• Strange resonance poles from $K\pi$ scattering below 1.8 GeV
• Observation of charged kappa in J/psi -> K*(892)-+Kspi+-, K*(892)-+ -> Kspi-+ at BESII
• Lightest scalar in the SU_L(2)*SU_R(2) linear σmodel
• Coupled channels dynamics in the generation of the $\Omega (2012)$ resonance
• Isospin mixing in the nucleon and 4He and the nucleon strange electric form factor
• Masses and sigma terms of doubly charmed baryons up to $\mathcal{O}(p^4)$ in manifestly Lorentz-invariant baryon chiral perturbation theory
• The sigma and f_0(980) from Ke4 + pi-pi scatterings data
• Masses of doubly charmed baryons in the extended on-mass-shell renormalization scheme
• Pole analysis on the hadron spectroscopy of ${\Lambda }_b\to J/\Psi p{K}^{-}$
• Non-ordinary light meson couplings and the $1/N_c$ expansion
• Observation of $a_0^0(980)$-$f_0(980)$ Mixing
• Amplitude analyses of the decays chi_c1 -> eta pi+ pi- and chi_c1 -> eta' pi+ pi-
• Scale Invariance in Heavy Hadron Molecules
• Location, correlation, radiation: where is the $\sigma$, what is its structure and what is its coupling to photons?
• Study the molecular nature of $\sigma$, $f_0(980)$, and $a_0(980)$ states
• Pole analysis on unitarized $SU(3)\times SU(3)$ one loop $\chi$PT amplitudes
• The $a_0(980)$ and $\Lambda (1670)$ in the ${\Lambda }_c^{+}\to {\pi }^{+}\eta \Lambda$ decay
• A Dispersive Analysis on the $f_0(600)$ and $f_0(980)$ Resonances in $\gamma \gamma \to {\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0$ Processes
• Re-examining the $X(4630)$ resonance in the reaction $e^{+}{e}^{-}\to {\Lambda }_c^{+}{\bar{\Lambda }}_c^{-}$
• New spectrum of negative-parity doubly charmed baryons: Possibility of two quasistable states
• Determination of the lightest strange resonance $K_0^{\ast }(700)$ or $\kappa$, from a dispersive data analysis
• Electromagnetic form factors of spin 1/2 doubly charmed baryons
• Light Baryon Resonances: Restrictions and Perspectives
• Nature of the $Y(4260)$: A light-quark perspective
• Model dependent analyses on the $N_c$ dependence of the $\sigma$ pole trajectory
• Theoretical analysis of the $\gamma \gamma \to {\pi }^0\eta$ process
• The anomalous process gamma pi -> pi pi to two loops
• An update on the Kappa
• Aspects of the low-energy constants in the chiral Lagrangian for charmed mesons
• $I=1/2$ $S$-wave and $P$-wave $K\pi$ scattering and the $\kappa$ and $K^{\ast }$ resonances from lattice QCD
• The S-wave Λπphase shift is not large
• The origin of light $0^{+}$ scalar resonances
• Virtual states and generalized completeness relation in the Friedrichs Model
• Elastic and inelastic pion-nucleon scattering to fourth order in chiral perturbation theory
• $O(p^6)$ extension of the large--$N_C$ partial wave dispersion relations
• Pole Analysis of Unitarized One Loop $\chi$PT Amplitudes - A Triple Channel Study
• Possible open-charmed pentaquark molecule ${\Omega }_c(3188)$ --- the $D\Xi$ bound state --- in the Bethe-Salpeter formalism
• The [1,2] Padé Amplitudes for $\pi \pi$ Scatterings in Chiral Perturbation Theory
• Comprehending Isospin breaking effects of $X(3872)$ in a Friedrichs-model-like scheme
• Generating a resonance-like structure in the reaction $B_c\to B_s\pi \pi$
• New Insights on Low Energy $\pi N$ Scattering Amplitudes
• Amplitude analysis of the anomalous decay ${\eta }^{\prime }\to {\pi }^{+}{\pi }^{-}\gamma$
• Dispersion relations with crossing symmetry for pipi D and F wave amplitudes
• The Chiral Coupling Constants $\lb{1}$ and $\lb{2}$ from \pipi Phase Shifts
• Pion Polarizabilities from $\gamma \gamma \to \pi \pi$ Analysis
• Scalar-involved three-point Green functions and their phenomenology
• On the scalar nonet in the extended Nambu Jona-Lasinio model
• The Constraints of Unitary on $\pi \pi$ Scattering Dispersion Relations
• The role of the input in Roy's equations for pion-pion scattering
• Partial Wave Decomposition in Friedrichs Model With Self-interacting Continua
• Meson Form Factors and the Quark-Level Linear Sigma Model
• Observation of $J/\psi \to \gamma \eta {\pi }^0$
• A new method to study the number of colors in the final-state interactions of hadrons
• $J/\psi \to \gamma {\eta }^{\prime }{\pi }^{+}{\pi }^{-}$ and the structure observed around the $\bar{p}p$ threshold
• Possible bound states with hidden bottom from ${\bar{K}}^{(\ast )}{B}^{(\ast )}{\bar{B}}^{(\ast )}$ systems
• A study of charged kappa in $J/\psi \to K^{\pm }{K}_s{\pi }^{\mp }{\pi }^0$
• New Insights on Low Energy $\pi N$ Scattering Amplitudes: Comprehensive Analyses at $\mathcal{O}(p^3)$ Level
• Light $O^{++}$ Mesons: Scalargators in Florida
• Lattice calculation of $\kappa$ meson
• FCNC transitions of ${\Lambda }_b$ to neutron in Bethe-Salpeter equation approach
• Test of semi-local duality in a large $N_C$ framework
• Relativistic Friedrichs-Lee model and quark-pair creation model
• How does the $S_{11}$ $N^{\ast }(890)$ state emerge from a naive $K$ matrix fit?
• Analyticity and the $N_c$ counting rule of $S$ matrix poles
• Dynamical Properties of the $\sigma$ Meson
• A study on the correlation between poles and cuts in $\pi \pi$ scattering
• The properties of the $\sigma$ and $\kappa$ resonances in a new unitarization approach
• Poles of light resonances from unitarized Chiral perturbation Theory and their large Nc behavior

Cited by in corpus (36)

• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Novel coupled channel framework connecting quark model and lattice QCD: an investigation on near-threshold $D_s$ states
• Hunting for states in the recent LHCb di-$J/\psi$ invariant mass spectrum
• Study of CP violation in hyperon decays at Super Charm-Tau Factories with a polarized electron beam
• Pole analysis on the doubly charmed meson in $D^0{D}^0{\pi }^{+}$ mass spectrum
• X_1(2900) as a D_1 K molecule
• Systematizing and addressing theory uncertainties of unitarization with the Inverse Amplitude Method
• Analysis on the composite nature of the light scalar mesons $f_0(980)$ and $a_0(980)$
• Dispersive Determination of Nucleon Gravitational Form Factors
• New insights into the oscillation of the nucleon electromagnetic form factors
• Nature of the $X(6900)$ in partial wave decomposition of $J/\psi J/\psi$ scattering
• Global parametrizations of $\pi \pi$ scattering with dispersive constraints: Beyond the S0 wave
• The investigations of the $P$-wave $B_s$ states combining quark model and lattice QCD in the coupled channel framework
• Scrutinizing $\pi \pi$ scattering in light of recent lattice phase shifts
• A possible subthreshold pole in $S_{11}$ channel from $\pi N$ Roy-Steiner equation analyses
• Two body final states production in electron-positron annihilation and their contributions to $(g-2{)}_{\mu }$
• $\sigma$ exchange in the one-boson exchange model involving the ground state octet baryons
• Identifying Hadronic Molecular States with a Neural Network
• Study of the $f_0(980)$ and $f_0(500)$ Scalar Mesons through the Decay $D_s^{+}\to {\pi }^{+}{\pi }^{-}{e}^{+}{\nu }_e$
• Is two-poles' $\Lambda (1405)$ one state or two?
• Photo-production of lowest ${\Sigma }_{1/2^{-}}^{\ast }$ state within the Regge-effective Lagrangian approach
• Structure around $p\bar{p}$ threshold in $J/\psi$ radiative decays
• Singularities and Accumulation of Singularities of $\pi$N Scattering amplitudes
• Revisiting $O(N)$ $\sigma$ model at unphysical pion masses and high temperatures
• $P_c(4457)$ interpreted as a $J^P=1/2^{+}$ state by ${\bar{D}}^0{\Lambda }_c^{+}(2595)$-${\pi }^0{P}_c(4312)$ interaction
• On Lowest Lying ${\frac{1}{2}}^{-}$ Octet Baryons
• Gravitational form factors of pions, kaons and nucleons from dispersion relations
• Analytical dispersive parameterization for elastic scattering of spinless particles
• Observation of $D^{+}\to f_0(500){\mu }^{+}{\nu }_{\mu }$ and study of $D^{+}\to {\pi }^{+}{\pi }^{-}{\ell }^{+}{\nu }_{\ell }$ decay dynamics
• Photoproduction of the $X(3872)$ beyond vector meson dominance: the open-charm coupled-channel mechanism
• Testing the light scalar meson as a non-$q\bar{q}$ state in semileptonic $D$ decays
• Nature of $X(2370)$
• Dispersive analysis of the $J/\psi \to {\pi }^0{\gamma }^{\ast }$ transition form factor with $\rho$-$\omega$ mixing effects
• Rescattering-induced $D\to SS$ weak decays
• Review on recent progress in the study of the $N^{\ast }(920)$ subthreshold singularity and the $\sigma /f_0(500)$ meson
• Exotic hadrons associated with $b$-quark