Coupled-channel approach in hadron-hadron scattering

Abstract

Coupled-channel dynamics for scattering and production processes in partial-wave amplitudes is discussed from a perspective that emphasizes unitarity and analyticity. We elaborate on several methods that have driven to important results in hadron physics, either by themselves or in conjunction with effective field theory. We also develop and compare with the use of the Lippmann-Schwinger equation in near-threshold scattering. The final(initial)-state interactions are discussed in detail for the elastic and coupled-channel case. Emphasis has been put in the derivation and discussion of the methods presented, with some applications examined as important examples of their usage.

arXiv comment104 pages, 9 figures. Invited review article for Prog. Part. Nucl. Phys

References in corpus (103)

• Hadronic molecules
• The hidden-charm pentaquark and tetraquark states
• Chiral Dynamics in Nucleons and Nuclei
• Chiral dynamics in the presence of bound states: kaon-nucleon interactions revisited
• 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
• Chiral Dynamics of the Two Λ(1405) States
• Chiral perturbation theory
• Meson-Meson interaction in a non-perturbative chiral approach
• Evidence that the a0(980) and f0(980) are not elementary particles
• Chiral Perturbation Theory
• Effective Field Theory for Short-Range Forces
• The pion-pion scattering amplitude. IV: Improved analysis with once subtracted Roy-like equations up to 1100 MeV
• On the Foundations of Chiral Perturbation Theory
• Peripheral Nucleon-Nucleon Phase Shifts and Chiral Symmetry
• 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
• Non-perturbative Approach to effective chiral Lagrangians and Meson Interactions
• The inverse amplitude method in Chiral Perturbation Theory
• On the nature of light scalar mesons from their large $N_c$ behavior
• Dynamically generated $N^{\ast }$ and ${\Lambda }^{\ast }$ resonances in the hidden charm sector around 4.3 GeV
• Putative Light Scalar Nonet
• Virtual Photons in Chiral Perturbation Theory
• Pion Interactions in the X(3872)
• Coupled $\pi \pi ,K\overline{K}$ scattering in $P$-wave and the $\rho$ resonance from lattice QCD
• Isoscalar $\pi \pi$ scattering and the $\sigma$ meson resonance from QCD
• The ρρinteraction in the hidden gauge formalism and the f_0(1370) and f_2(1270) resonances
• S-wave Kpi scattering in chiral perturbation theory with resonances
• Origin of resonances in the chiral unitary approach
• Strangeness-changing scalar form factors
• Quark mass dependence of the rho and sigma from dispersion relations and Chiral Perturbation Theory
• Dispersive analysis of the decay eta -> 3 pi
• Nucleon Resonances with Hidden Charm in Coupled-Channel Models
• Identification of a Scalar Glueball
• Compositeness of dynamically generated states in a chiral unitary approach
• Anatomy of the newly observed hidden-charm pentaquark states: $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$
• Two-pole structure of the $D_0^{\ast }(2400)$
• $\eta \to 3\pi$ at Two Loops In Chiral Perturbation Theory
• Final State Interactions and Khuri-Treiman Equations in $\eta \to 3\pi$ decays
• Non-perturbative regularization and renormalization: simple examples from non-relativistic quantum mechanics
• Improved description of the $\pi N$-scattering phenomenology in covariant baryon chiral perturbation theory
• J/Ψ\to ϕππ(K \bar{K}) decays, chiral dynamcis and OZI violation
• MO analysis of the high statistics Belle results on $\gamma \gamma \to {\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0$ with chiral constraints
• Determination of the pole position of the lightest hybrid meson candidate
• KK bar scattering amplitude to one loop in chiral perturbation theory, its unitarization and pion form factors
• Bethe-Salpeter Approach for Meson-Meson Scattering in Chiral Perturbation Theory
• Strange and non-strange quark mass dependence of elastic light resonances from SU(3) Unitarized Chiral Perturbation Theory to one loop
• Interplay of quark and meson degrees of freedom in a near-threshold resonance: multi-channel case
• Theoretical Study of the γγ-->meson-meson Reaction
• Different pole structures in line shapes of the $X(3872)$
• Pion and Kaon Vector Form Factors
• The Mixing Angle of the Lightest Scalar Nonet
• Interplay of quark and meson degrees of freedom in a near-threshold resonance
• Towards a precise determination of the scattering amplitudes of the charmed and light-flavor pseudoscalar mesons
• Hadronic eta and eta-prime decays
• Electromagnetic corrections in eta --> 3 pi decays
• Dispersive analysis of the $\gamma {\gamma }^{\ast }\to \pi \pi$ process
• Non-perturbative methods for a chiral effective field theory of finite density nuclear systems
• Quarkonium Contribution to Meson Molecules
• Measurement of the Slope Parameter $\alpha$ for the $\eta \to 3{\pi }^0$ decay with the Crystal Ball detector at the Mainz Microtron (MAMI-C)
• A practical parametrization for line shapes of near-threshold states
• Structure of near-threshold quasi-bound states
• Improved dispersion relations for γγ\to π^0π^0
• Electromagnetic Corrections to the decays $\eta \to 3\pi$
• A chiral covariant approach to $\rho \rho$ scattering
• The Inverse Amplitude Method in $\pi \pi$ Scattering in Chiral Perturbation Theory to Two Loops
• Extended chiral Khuri-Treiman formalism for $\eta \to 3\pi$ and the role of the $a_0(980)$, $f_0(980)$ resonances
• Confirmation of a pi_1^0 Exotic Meson in the ηπ^0 System
• Determination of the Dalitz plot parameter alpha for the decay eta->3pi^0 with the Crystal Ball at MAMI-B
• On the ϕ(1020)f_0(980) S-wave scattering and the Y(2175) resonance
• The Case of a WW Dynamical Scalar Resonance within a Chiral Effective Description of the Strongly Interacting Higgs Sector
• Using Line Shapes to Discriminate between Binding Mechanisms for the X(3872)
• Two photons into π^0π^0
• Scalar radius of the pion and zeros in the form factor
• Chiral dynamics in U(3) unitary chiral perturbation theory
• Three-body final state interaction in $\eta \to 3\pi$ updated
• Resonance Spectrum of the strongly interacting Symmetry Breaking Sector
• Dispersion relations for ${\eta }^{\prime }\to \eta \pi \pi$
• New results from a number operator interpretation of the compositeness of bound and resonant states
• Interactions between vector mesons and dynamically generated resonances
• Hadronic decays of eta and eta-prime with coupled channels
• Measurement of the eta->3pi0 Dalitz Plot Distribution with the WASA Detector at COSY
• Consistent Dalitz plot analysis of Cabibbo-favored $D^{+}\to \bar{K}\pi {\pi }^{+}$ decays
• Compositeness of baryonic resonances: Applications to the Delta(1232), N(1535), and N(1650) resonances
• Two-body wave functions and compositeness from scattering amplitudes. I. General properties with schematic models
• Chiral Extrapolations of the $\mathbf{\rho }(770)$ Meson in ${\mathbf{N}}_{\mathbf{f}}=2+1$ Lattice QCD Simulations
• Extracting $\pi \pi$ $S$-wave scattering lengths from cusp effect in heavy quarkonium dipion transitions
• Measurement of the $\eta \to 3{\pi }^0$ slope parameter $\alpha$ with the KLOE detector
• The quadratic scalar radius of the pion and the mixed $\pi -K$ radius
• Comment on "Surprises in threshold antikaon-nucleon physics"
• Reply to Comment on "Surprises in threshold antikaon-nucleon physics"
• The scalar radius of the pion
• Nucleon-nucleon interactions from dispersion relations: Elastic partial waves
• Solving integral equations in $\eta \to 3\pi$
• On the chiral covariant approach to $\rho \rho$ scattering
• The phi to pi+ pi- decay within a chiral unitary approach
• Nucleon-Nucleon Interactions from Dispersion Relations: Coupled Partial Waves
• The N/D method with non-perturbative left-hand-cut discontinuity and the ${}^1{S}_0$ $NN$ partial wave
• On kinematical constraints in boson-boson systems
• The phi(1020) a0(980) S-wave scattering and hints for a new vector-isovector resonance
• High-statistics measurement of the eta->3pi^0 decay at the Mainz Microtron
• On kinematical constraints in fermion-antifermion systems
• Using QCD Counting rules to Identify the Production of Gluonium

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• Global parametrizations of $\pi \pi$ scattering with dispersive constraints: Beyond the S0 wave
• Structure of the $\mathbf{\Lambda }(1670)$ resonance
• Is two-poles' $\Lambda (1405)$ one state or two?
• Pole trajectories of the $\Lambda (1405)$ helps establish its dynamical nature
• Lattice study of $cc\bar{u}\bar{s}$ tetraquark channel in $D^{(\ast )}{D}_s^{(\ast )}$ scattering
• Ladder resummation of spin 1/2 fermion many-body systems with arbitrary partial-wave content
• Two-body wave functions and compositeness from scattering amplitudes: II. Application to the physical $N^{\ast }$ and ${\Delta }^{\ast }$ resonances
• Composite nature of $Z_b$ states from data analysis
• Interpretation of near-threshold peaks using the method of independent S-matrix poles
• Non-perturbative methods for NN singular interactions
• Effective range expansion with a long-range force
• Photoproduction of the $X(3872)$ beyond vector meson dominance: the open-charm coupled-channel mechanism
• Amplitude determination for $MM\to MM$, $M=\pi ,K$ and cross-sections for $\gamma \gamma \to {\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0,{\pi }^0\eta$ in a chiral model
• Methods on compositeness and related aspects
• Interactions of the Pseudoscalar Meson Octet and the Baryon Decuplet in the Continuum and a Finite Volume
• Study $B_{(s)}^0$ decays into $\varphi$ and a scalar or vector meson
• Compositeness and several applications to exotic hadronic states with heavy quarks