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.

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

References in corpus (20)

• The pion-pion scattering amplitude. IV: Improved analysis with once subtracted Roy-like equations up to 1100 MeV
• Pion Interactions in the X(3872)
• 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
• Origin of resonances in the chiral unitary approach
• Quark mass dependence of the rho and sigma from dispersion relations and Chiral Perturbation Theory
• Identification of a Scalar Glueball
• Anatomy of the newly observed hidden-charm pentaquark states: $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$
• $\eta \to 3\pi$ at Two Loops In Chiral Perturbation Theory
• MO analysis of the high statistics Belle results on $\gamma \gamma \to {\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0$ with chiral constraints
• Interplay of quark and meson degrees of freedom in a near-threshold resonance
• Improved dispersion relations for γγ\to π^0π^0
• Determination of the Dalitz plot parameter alpha for the decay eta->3pi^0 with the Crystal Ball at MAMI-B
• Confirmation of a pi_1^0 Exotic Meson in the ηπ^0 System
• On the ϕ(1020)f_0(980) S-wave scattering and the Y(2175) resonance
• Two photons into π^0π^0
• Scalar radius of the pion and zeros in the form factor
• Two-body wave functions and compositeness from scattering amplitudes. I. General properties with schematic models
• Extracting $\pi \pi$ $S$-wave scattering lengths from cusp effect in heavy quarkonium dipion transitions
• The phi(1020) a0(980) S-wave scattering and hints for a new vector-isovector resonance

Cited by in corpus (32)

• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• 50 Years of Quantum Chromodynamics
• Two-pole structures in QCD: Facts, not fantasy!
• Insights into the inner structures of the fully charmed tetraquark state $X(6900)$
• Novel approaches in Hadron Spectroscopy
• Hunting for states in the recent LHCb di-$J/\psi$ invariant mass spectrum
• How to reveal the nature of three or more pentaquark states?
• Tetraquarks in large-$N_c$ QCD
• Two dynamical generated $a_0$ resonances by interactions between vector mesons
• Data-driven dispersive analysis of the $\pi \pi$ and $\pi K$ scattering
• Study of $X(6900)$ with unitarized coupled channel scattering amplitudes
• Axion-pion thermalization rate in unitarized NLO chiral perturbation theory
• Generating cosmological perturbations in non-singular Horndeski cosmologies
• Khuri-Treiman equations for $3\pi$ decays of particles with spin
• Further study of $f_0(1710)$ with coupled-channel approach and hadron molecular picture
• 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
• 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
• Ladder resummation of spin 1/2 fermion many-body systems with arbitrary partial-wave content
• Lattice study of $cc\bar{u}\bar{s}$ tetraquark channel in $D^{(\ast )}{D}_s^{(\ast )}$ scattering
• 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
• Methods on compositeness and related aspects
• Interactions of the Pseudoscalar Meson Octet and the Baryon Decuplet in the Continuum and a Finite Volume
• Compositeness and several applications to exotic hadronic states with heavy quarks
• Study $B_{(s)}^0$ decays into $\varphi$ and a scalar or vector meson