Analytic properties of the scattering amplitude and resonances parameters in a meson exchange model

Abstract

The analytic properties of scattering amplitudes provide important information. Besides the cuts, the poles and zeros on the different Riemann sheets determine the global behavior of the amplitude on the physical axis. Pole positions and residues allow for a parameterization of resonances in a well-defined way, free of assumptions for the background and energy dependence of the resonance part. This is a necessary condition to relate resonance contributions in different reactions. In the present study, we determine the pole structure of pion-nucleon scattering in an analytic model based on meson exchange. For this, the sheet structure of the amplitude is determined. To show the precision of the resonance extraction and discuss phenomena such as resonance interference, we discuss the S11 amplitude in greater detail.

22 pages, 22 figures

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Cited by in corpus (116)

• Hadronic molecules
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• Progress Toward Understanding Baryon Resonances
• Nucleon resonances within a dynamical coupled-channels model of pi N and gamma N reactions
• Dynamically generated resonances from the vector octet-baryon octet interaction
• Sigma_c Dbar and Lambda_c Dbar states in a chiral quark model
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• Three particles in a finite volume
• Three-body Unitarity in the Finite Volume
• Coupled-channel approach to $T_{cc}^{+}$ including three-body effects
• Chiral dynamics of the S11(1535) and S11(1650) resonances revisited
• Disentangling the dynamical origin of P11 Nucleon Resonances
• Electromagnetic Excitation of Nucleon Resonances
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• Finite-volume spectrum of ${\pi }^{+}{\pi }^{+}$ and ${\pi }^{+}{\pi }^{+}{\pi }^{+}$ systems
• Towards a theory of hadron resonances
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• Interplay of quark and meson degrees of freedom in a near-threshold resonance
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• The reaction pi+ p --> K+ Sigma+ in a unitary coupled-channels model
• Finite volume effects in pion-kaon scattering and reconstruction of the kappa(800) resonance
• On the cross section ratio sigma_n/sigma_p in eta photoproduction
• Lineshapes for composite particles with unstable constituents
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• Dynamical coupled-channel approaches on a momentum lattice
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• Coupling vector and pseudoscalar mesons to study baryon resonances
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• Vector meson-Baryon dynamics and generation of resonances
• Light Baryon Spectroscopy
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• A covariant model for the gamma N -> N(1535) transition at high momentum transfer
• Extraction of Electromagnetic Transition Form Factors for Nucleon Resonances within a Dynamical Coupled-Channels Model
• Pion- and photo-induced transition amplitudes to $\Lambda K$, $\Sigma K$, and $N\eta$
• The phase and pole structure of the N*(1535) in piN-->piN and gammaN-->piN
• A model for the Delta(1600) resonance and gamma N -> Delta(1600) transition
• P-wave excited baryons from pion- and photo-induced hyperon production
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• Pole position of the $a_1(1260)$ resonance in a three-body unitary framework
• Jülich-Bonn-Washington Model for Pion Electroproduction Multipoles
• The Optical Potential on the Lattice
• Electromagnetic Transition Form Factors of Baryon Resonances
• Singularity structure of the pi N scattering amplitude in a meson-exchange model up to energies W < 2.0 GeV
• Exploratory study of possible resonances in the heavy meson - heavy baryon coupled-channel interactions
• Pole positions and residues from pion photoproduction using the Laurent+Pietarinen expansion method
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• Dalitz plots and lineshape of $a_1(1260)$ from a relativistic three-body unitary approach
• Finite volume effects and quark mass dependence of the N(1535) and N(1650)
• Two dynamical generated $a_0$ resonances by interactions between vector mesons
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• Strong decay of low-lying $S_{11}$ and $D_{13}$ nucleon resonances to pseudoscalar mesons and octet baryons
• Negative parity $\Lambda$ and $\Sigma$ resonances coupled to pseudoscalar and vector mesons
• Helicity Amplitudes of the Lambda(1670) and two Lambda(1405) as dynamically generated resonances
• Three-body resonances in the ${\phi }^4$ theory
• Nucleon resonance parameters from Roy-Steiner equations
• Classifying Pole of Amplitude Using Deep Neural Network
• Low-lying even parity meson resonances and spin-flavor symmetry revisited
• Towards the Minimal Spectrum of Excited Baryons
• Anticharmed strange pentaquarks from the one-boson-exchange model
• Role of the $N^{\ast }(1535)$ in the ${\Lambda }_c^{+}\to {\bar{K}}^0\eta p$ decay
• Valence quark contributions for the ${\gamma }^{\ast }N\to N(1440)$ form factors from Light-Front holography
• Coupled-channel analysis of pion- and eta-electroproduction with the Jülich-Bonn-Washington model
• Predicting isovector charmonium-like states from X(3872) properties
• Resonances in heavy meson - heavy baryon coupled-channel interactions
• The Role of the Roper in Chiral Perturbation Theory
• $2\pi$ production in the Giessen coupled-channel model
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• Particle-dimer approach for the Roper resonance in a finite volume
• Baryon transition form factors at the pole
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• Two-pole structures in a relativistic Friedrichs-Lee-QPC scheme
• Remarks on non-perturbative three--body dynamics and its application to the $KK\bar{K}$ system
• Partial Decay Widths of Negative Parity Baryons in the 1/Nc Expansion
• The reaction $\pi N\to \omega N$ in a dynamical coupled-channel approach
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• Stability of the Zagreb Carnegie-Mellon-Berkeley model
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• On the nature of the Roper resonance
• Modern Dynamical Coupled-Channels Calculations for Extracting and Understanding the Nucleon Spectrum
• Dynamically generated resonances
• Hints of the $J^{PC}=0^{--}$ and $1^{--}$ $K^{\ast }{\bar{K}}_1(1270)$ Molecules in the $J/\psi \to \varphi \eta {\eta }^{\prime }$ Decay
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• Review on recent progress in the study of the $N^{\ast }(920)$ subthreshold singularity and the $\sigma /f_0(500)$ meson
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• Baryons with functional methods
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