Roper resonances in chiral quark models

Abstract

We derive a method to calculate the multi-channel K matrix applicable to a broad class of models in which mesons linearly couple to the quark core. The method is used to calculate pion scattering amplitudes in the energy region of low-lying P11 and P33 resonances. A good agreement with experimental data is achieved if in addition to the elastic channel we include the $\pi \Delta$ and $\sigma N$ ($\sigma \Delta$) channels where the $\sigma$-meson models the correlated two-pion decay. We solve the integral equation for the K matrix in the approximation of separable kernels; it yields a sizable increase of the widths of the $\Delta (1232)$ and the N(1440) resonances compared to the bare quark values.

17 pages, 7 figures

References in corpus (25)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Extended Partial-Wave Analysis of piN Scattering Data
• Baryons as non-topological chiral solitons
• What is the structure of the Roper resonance?
• Dynamical coupled-channel model of meson production reactions in the nucleon resonance region
• Photon- and meson-induced reactions on the nucleon
• Baryon Resonance Extraction from piN Data using a Unitary Multichannel Model
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• Dynamical Coupled-Channel Model of $\pi N$ Scattering in the W $\le$ 2 GeV Nucleon Resonance Region
• Roper Resonance and S_{11}(1535) from Lattice QCD
• Complete analysis of pion-nucleon scattering in chiral perturbation theory to third order
• The role of $qqqq\bar{q}$ components in the nucleon and the N(1440) resonance
• Hadronic Decays of N and ΔResonances in a Chiral Quark Model
• The piN --> etaN data demand the existence of N(1710) P11 resonance reducing the 1700 MeV continuum ambiguity
• Covariant calculation of mesonic baryon decays
• The two pion decay of the Roper resonance
• The reaction pi N to pi pi N in a meson-exchange approach
• Approximating chiral quark models with linear sigma-models
• Mesonic Content of the Nucleon and the Roper Resonance
• N^* electroproduction amplitudes in a model with dynamical confinement
• Masses of excited baryons from chirally improved quenched lattice QCD
• Mass and width of the sigma
• The pi N -> pi pi N reaction around the N(1440) energy
• Direct calculation of the K-matrix for pion electro-production in the Delta channel

Cited by in corpus (15)

• Pion-nucleon scattering in the Roper channel from lattice QCD
• Hamiltonian effective field theory study of the ${\mathbf{N}}^{\ast }(1440)$ resonance in lattice QCD
• Structure of the Roper Resonance from Lattice QCD Constraints
• A model for the Delta(1600) resonance and gamma N -> Delta(1600) transition
• Electromagnetic Transition Form Factors of Baryon Resonances
• Pion electro-production in the Roper region in chiral quark models
• ${\gamma }^{\ast }N\to N(1710)$ transition at high momentum transfer
• A chiral quark model for meson electro-production in the region of D-wave resonances
• A chiral quark model for meson electro-production in the S11 partial wave
• The Roper resonance: a genuine quark state or a dynamically generated structure?
• Eta and kaon production in a chiral quark model
• Dynamical generation of resonances in the P33 partial wave
• ${\gamma }^{\ast }N\to {\Delta }^{+}(1600)$ transition form factors in light-cone sum rules
• Opposite parity fermion mixing and baryons $1/2^{\pm }$
• The $\Lambda (1405)$ resonance as a genuine three-quark or molecular state