Effects of Final State Interactions on Landau Singularities

Abstract

In certain kinematic and particle mass configurations, triangle singularities may lead to line-shapes which mimic the effects of resonances. This well-known effect is scrutinized here in the presence of final-state rescattering. The goal is achieved first by utilizing general arguments provided by Landau equations, and second by applying a modern scattering formalism with explicit two- and three-body unitarity.

22 pages, 13 figures, revised version

References in corpus (48)

• Diquark-Antidiquarks with Hidden or Open Charm and the Nature of X(3872)
• Baryons as relativistic three-quark bound states
• Relativistic chiral SU(3) symmetry, large N_c sum rules and meson-baryon scattering
• Threshold cusps and triangle singularities in hadronic reactions
• How to reveal the exotic nature of the P_c(4450)
• Dynamical coupled-channel model of meson production reactions in the nucleon resonance region
• Analytic properties of the scattering amplitude and resonances parameters in a meson exchange model
• A Discussion on Triangle Singularities in the ${\Lambda }_b\to J/\psi K^{-}p$ Reaction
• Three-body Unitarity in the Finite Volume
• Constraints on the chiral unitary $\bar{K}N$ amplitude from $\pi \Sigma K^{+}$ photoproduction data
• Weak decays of heavy hadrons into dynamically generated resonances
• Chiral dynamics of the S11(1535) and S11(1650) resonances revisited
• Disentangling the dynamical origin of P11 Nucleon Resonances
• Three-body spectrum in a finite volume: the role of cubic symmetry
• Cusps in K --> 3 pi decays
• New insights into antikaon-nucleon scattering and the structure of the Lambda(1405)
• Finite-volume spectrum of ${\pi }^{+}{\pi }^{+}$ and ${\pi }^{+}{\pi }^{+}{\pi }^{+}$ systems
• Tetraquark bound states in a Bethe-Salpeter approach
• On the nature of $a_1(1420)$
• Towards a theory of hadron resonances
• Three pion spectrum in the $I=3$ channel from lattice QCD
• Masses of ground-state mesons and baryons, including those with heavy quarks
• Three-body Unitarity with Isobars Revisited
• On light baryons and their excitations
• Finite-volume energy spectrum of the $K^{-}{K}^{-}{K}^{-}$ system
• The "$a_1(1420)$" peak as the $\pi f_0(980)$ decay mode of the $a_1(1260)$
• Three-body interactions from the finite-volume QCD spectrum
• Multi-particle systems on the lattice and chiral extrapolations: a brief review
• Role of a triangle singularity in the $\gamma p\to K^{+}\Lambda (1405)$ reaction
• Light-Meson Spectroscopy with COMPASS
• Cusps in K --> 3pi decays: a theoretical framework
• Relevance of complex branch points for partial wave analysis
• Solving relativistic three-body integral equations in the presence of bound states
• Pole position of the $a_1(1260)$ resonance in a three-body unitary framework
• Triangle singularity in the $J/\psi \to K^{+}{K}^{-}{f}_0(980)(a_0(980))$ decays
• Dalitz plots and lineshape of $a_1(1260)$ from a relativistic three-body unitary approach
• Dispersion representations and anomalous singularities of the triangle diagram
• Considerations on the Schmid theorem for triangle singularities
• Anomalous enhancement of the isospin-violating $\Lambda (1405)$ production by a triangle singularity in ${\Lambda }_c\to {\pi }^{+}{\pi }^0{\pi }^0{\Sigma }^0$
• Three-body resonances in the ${\phi }^4$ theory
• Triangle singularity in ${\tau }^{-}\to {\nu }_{\tau }{\pi }^{-}{f}_0(980)$ ($a_0(980)$) decays
• Triangle singularities in $J/\psi \to \eta {\pi }^0\varphi$ and ${\pi }^0{\pi }^0\varphi$
• Spectral representation for u- and t-channel exchange processes in a partial-wave decomposition
• Comprehensive study of light axial vector mesons with the presence of triangle singularity
• Three-body unitary coupled-channel approach to radiative $J/\psi$ decays and $\eta (1405/1475)$
• A coupled-channel system with anomalous thresholds and unitarity
• On coupled-channel dynamics in the presence of anomalous thresholds
• Partial wave analysis of ${\tau }^{-}\to {\pi }^{-}{\pi }^{+}{\pi }^{-}{\nu }_{\tau }$ at Belle

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