A unitary isobar model for pion photo- and electroproduction on the proton up to 1 GeV

Abstract

A new operator for pion photo- and electroproduction has been developed for nuclear applications at photon equivalent energies up to 1 GeV. The model contains Born terms, vector mesons and nucleon resonances ($P_{33}(1232)$, $P_{11}(1440)$, $D_{13}(1520)$, $S_{11}(1535)$, $F_{15}(1680)$, and $D_{33}(1700)$). The resonance contributions are included taking into account unitarity to provide the correct phases of the pion photoproduction multipoles. The $Q^2$ dependence of electromagnetic resonance vertices is described with appropriate form factors in the electromagnetic helicity amplitudes. Within this model we have obtained good agreement with the experimental data for pion photo- and electroproduction on the nucleon for both differential cross sections and polarization observables. The model can be used as a starting point to predict and analyze forthcoming data.

32 pages LaTeX including 23 postscript figures (a few misprints have been corrected)

References in corpus (3)

• Many Body approach to the inclusive $(e,e^{\prime })$ reaction from the quasielastic to the $\Delta$ excitation region
• Multipole analysis of pion photoproduction based on fixed t dispersion relations and unitarity
• Electromagnetic transition form factors of negative parity nucleon resonances

Cited by in corpus (335)

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• Measurement of the generalized form factors near threshold via ${\gamma }^{\ast }p\to n{\pi }^{+}$ at high $Q^2$
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• Energy Dependence of the Delta Resonance: Chiral Dynamics in Action
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• Virtual Compton Scattering at Low Energy and the Generalized Polarizabilities of the Nucleon o
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• Helicity-dependent photoabsorption cross sections on the nucleon
• Electroproduction of $\Lambda (1520)$ off the nucleon target with the nucleon resonances
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• Global Data-Driven Determination of Baryon Transition Form Factors
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• Accuracy of traditional Legendre estimators of quadrupole ratios for the N to Delta transition
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• Analysis of the differential cross section and photon beam asymmetry data for $\gamma p\to {\eta }^{\prime }p$
• Separated Response Functions in Exclusive, Forward ${\pi }^{\pm }$ Electroproduction on Deuterium
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• Dependence of the ${}^{12}$C($\vec{\gamma }$,pd) reaction on photon linear polarisation
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• Hadronic deuteron polarizability contribution to the Lamb shift in muonic deuterium
• A dispersive approach to pion photo- and electroproduction
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• Truncated Partial-Wave Analysis for $\eta$-photoproduction observables via Bayesian Statistics
• Photo-production of Nucleon Resonances and Nucleon Spin Structure Function in the Resonance Region
• Pseudovector vs. pseudoscalar coupling in one-boson exchange NN potentials
• Spin asymmetry for the 16O(gamma,pi- p) reaction in the Delta(1232) region within an effective Lagrangian approach
• Momentum dependence of the N to Delta transition form factors
• Dynamical Model of Electroweak Pion Production Reaction
• Neutral Pion Production in the Threshold Region
• Probing Delta structure with pion electromagnetic production
• Measurement of the nucleon spin structure functions for 0.01<$Q^2$<1 GeV${}^2$ using CLAS
• Double polarization experiments at intermediate energy
• Relating CP-violating decays to the neutron EDM
• Overview of nucleon structure studies
• Hybrid model of proton structure functions
• Photoproduction of Pentaquark ${\Theta }^{+}$ and Chiral Symmetry Restoration in Hot and Dense Medium
• The Proton Electromagnetic Generalized Polarizabilities
• Nuclear coherent ${\pi }^0$ photoproduction with charge-exchange and spin-flip rescattering
• Kaon photoproduction on the nucleon with constrained parameters
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• Complex phase structure of the meson-baryon $T$-matrix
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• Single-channel, single-energy partial-wave analysis with continuity improved through minimal phase constraints
• A quark model framework for the study of nuclear medium effects
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• Virtual Compton Scattering and Neutral Pion Electroproduction in the Resonance Region up to the Deep Inelastic Region at Backward Angles
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• Two-photon physics
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• Electroexcitation of the Roper resonance from CLAS data
• Status of Spin Physics - Experimental Summary
• Photoproduction of Pseudoscalar Mesons
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