Dynamical coupled-channel approaches on a momentum lattice

Abstract

Dynamical coupled-channel approaches are a widely used tool in hadronic physics that allow to analyze different reactions and partial waves in a consistent way. In such approaches the basic interactions are derived within an effective Lagrangian framework and the resulting pseudo-potentials are then unitarized in a coupled-channel scattering equation. We propose a scheme that allows for a solution of the arising integral equation in discretized momentum space for periodic as well as twisted boundary conditions. This permits to study finite size effects as they appear in lattice QCD simulations. The new formalism, at this stage with a restriction to S-waves, is applied to coupled-channel models for the sigma(600), f0(980), and a0(980) mesons, and also for the Lambda(1405) baryon. Lattice spectra are predicted.

7 pages, 4 figures

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Cited by in corpus (49)

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• $D_s$ mesons with $DK$ and $D^{\ast }K$ scattering near threshold
• Three-body Unitarity in the Finite Volume
• Isoscalar $\pi \pi ,K\overline{K},\eta \eta$ scattering and the $\sigma ,f_0,f_2$ mesons from QCD
• Scalar mesons moving in a finite volume and the role of partial wave mixing
• Scattering in the pion-nucleon negative parity channel in lattice QCD
• Rho resonance parameters from lattice QCD
• Photocouplings at the Pole from Pion Photoproduction
• Molecular components in P-wave charmed-strange mesons
• Review of the $\mathbf{\Lambda }$(1405): A curious case of a strange-ness resonance
• Finite volume effects in pion-kaon scattering and reconstruction of the kappa(800) resonance
• Pion photoproduction in a dynamical coupled-channels model
• The $KD$, $\eta D_s$ interaction in finite volume and the nature of the $D_{s^{\ast }0}(2317)$ resonance
• Dynamical coupled-channels model of $K^{-}p$ reactions (I): Determination of partial-wave amplitudes
• QCD and the Strange Baryon Spectrum
• Structure of the $\mathbf{\Lambda }(1405)$ from Hamiltonian effective field theory
• Multi-particle systems on the lattice and chiral extrapolations: a brief review
• Scattering of unstable particles in a finite volume: the case of pi rho scattering and the a1(1260) resonance
• Axial resonances a1(1260), b1(1235) and their decays from the lattice
• The pole structure of the Lambda(1405) in a recent QCD simulation
• Low-lying Lambda Baryons from the Lattice
• Strategy to find the two $\Lambda (1405)$ states from lattice QCD simulations
• Hidden charm molecules in finite volume
• Valence quark and meson cloud contributions for the gamma* Lambda -> Lambda* and gamma* Sigma0 -> Lambda* reactions
• Chiral Extrapolations of the $\mathbf{\rho }(770)$ Meson in ${\mathbf{N}}_{\mathbf{f}}=2+1$ Lattice QCD Simulations
• The pion-pion Interaction in the rho Channel in Finite Volume
• Adiabatic projection method for scattering and reactions on the lattice
• Finite volume effects and quark mass dependence of the N(1535) and N(1650)
• Finite volume treatment of pi pi scattering and limits to phase shifts extraction from lattice QCD
• S- and p-wave structure of $S=-1$ meson-baryon scattering in the resonance region
• A lattice model of heavy-light three-body system
• Nuclear Reactions from Lattice QCD
• Towards the Minimal Spectrum of Excited Baryons
• $I=0$ $\pi \pi$ $s$-wave scattering length from lattice QCD
• The $DN$, $\pi {\Sigma }_c$ interaction in finite volume and the ${\Lambda }_c(2595)$ resonance
• Measurement of double polarisation asymmetries in $\omega$-photoproduction
• New insights into the pole parameters of the $\Lambda (1380)$, the $\Lambda (1405)$ and the $\Sigma (1385)$
• Compositeness of hadron resonances in finite volume
• Low energy reaction $K^{-}p\to \Lambda \eta$ and the negative parity $\Lambda$ resonances
• K-pi interaction in finite volume and the K* resonance
• On ambiguities of sign determination of the S-matrix from energy levels in a finite box
• Role of the strange quark in the rho(770) meson
• The pseudoscalar meson and baryon octet interaction with strangeness $S=-2$ in the unitary coupled-channel approximation
• The axial-vector form factor of the nucleon in a finite box
• Potential dangers when phase shifts are used as a link between experiment and QCD