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.

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

References in corpus (70)

• Pentaquark and Tetraquark states
• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• 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
• Dynamically Generated Open and Hidden Charm Meson Systems
• Dynamically generated 0^+ heavy mesons in a heavy chiral unitary approach
• A low-lying scalar meson nonet in a unitarized meson model
• Chiral Perturbation Theory and Baryon Properties
• Charmed bottom baryon spectroscopy from lattice QCD
• Baryons with two heavy quarks: Masses, production, decays, and detection
• A Theory of Scalar Mesons
• Emergence of a complete heavy-quark spin symmetry multiplet: seven molecular pentaquarks in light of the latest LHCb analysis
• Effective Kbar N interaction based on chiral SU(3) dynamics
• Strong LHCb evidence supporting the existence of the hidden-charm molecular pentaquarks
• Isoscalar $\pi \pi$ scattering and the $\sigma$ meson resonance from QCD
• Study of $P_c(4457)$, $P_c(4440)$, and $P_c(4312)$ in a quasipotential Bethe-Salpeter equation approach
• $D_s$ mesons with $DK$ and $D^{\ast }K$ scattering near threshold
• 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 $P_c(4380)$
• The K^*_0(800) scalar resonance from Roy-Steiner representations of pi K scattering
• Constraints on the chiral unitary $\bar{K}N$ amplitude from $\pi \Sigma K^{+}$ photoproduction data
• Weak Decays of Doubly Heavy Baryons: SU(3) Analysis
• 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 $P_c(4457)$
• Dispersive analysis of omega --> 3pi and phi --> 3pi decays
• Chiral Perturbation Theory Beyond One Loop
• Isospin breaking decays as a diagnosis of the hadronic molecular structure of the $P_c(4457)$
• New insights into antikaon-nucleon scattering and the structure of the Lambda(1405)
• Interpretation of the Narrow $J/\psi p$ Peaks in ${\Lambda }_b\to J/\psi p{K}^{-}$ Decay in the Compact Diquark Model
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• 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
• Comprehensive Amplitude Analysis of $\gamma \gamma \to {\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0$ and $\overline{K}K$ below 1.5 GeV
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• Subleading contributions to the width of the D_{s0}*(2317)
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• Strong and radiative decays of the doubly charmed baryons
• Light meson mass dependence of the positive parity heavy-strange mesons
• Radiative decays of the doubly charmed baryons in chiral perturbation theory
• Strong and radiative decays of the $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$
• Dalitz plot analysis of Ds+ --> K+ K- pi+
• 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
• Chiral study of the $a_0(980)$ resonance and $\pi \eta$ scattering phase shifts in light of a recent lattice simulation
• 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
• Heavy-Quark Symmetry Partners of the Pc(4450) Pentaquark
• Finding the sigma pole by analytic extrapolation of $\pi \pi$ scattering data
• $f_0(500)$, $f_0(980)$ and $a_0(980)$ production in the ${\chi }_{c1}\to \eta {\pi }^{+}{\pi }^{-}$ reaction
• Hyperon electromagnetic form factors in the timelike region
• Strange resonance poles from $K\pi$ scattering below 1.8 GeV
• Isospin mixing in the nucleon and 4He and the nucleon strange electric form factor
• Lightest scalar in the SU_L(2)*SU_R(2) linear σmodel
• Non-ordinary light meson couplings and the $1/N_c$ expansion
• Location, correlation, radiation: where is the $\sigma$, what is its structure and what is its coupling to photons?
• 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 $e^{+}{e}^{-}\to {\Lambda }_c^{+}{\bar{\Lambda }}_c^{-}$
• Nature of the $Y(4260)$: A light-quark perspective
• Theoretical analysis of the $\gamma \gamma \to {\pi }^0\eta$ process
• Aspects of the low-energy constants in the chiral Lagrangian for charmed mesons
• The origin of light $0^{+}$ scalar resonances
• Virtual states and generalized completeness relation in the Friedrichs Model
• $O(p^6)$ extension of the large--$N_C$ partial wave dispersion relations
• On the scalar nonet in the extended Nambu Jona-Lasinio model
• Observation of $J/\psi \to \gamma \eta {\pi }^0$
• Relativistic Friedrichs-Lee model and quark-pair creation model
• Dynamical Properties of the $\sigma$ Meson

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