Quark-Hadron Duality and Parity Violating Asymmetry of Electroweak Reactions in the Delta Region

Abstract

A dynamical model of electroweak pion production reactions in the Delta(1232) region has been extended to include the neutral current contributions for examining the local Quark-Hadron Duality in neutrino-induced reactions and for investigating how the axial N-Delta form factor can be determined by the parity violating asymmetry of N(\vec{e},e') reactions. We first show that the recent data of (e,e') structure functions F_1 and F_2, which exhibit the Quark-Hadron Duality, are in good agreement with our predictions. For possible future experimental tests, we then predict that the structure functions F_1, F_2, and F_3 for (ν,e) and (ν,ν') processes also show the similar Quark-Hadron Duality. The spin dependent structure functions g_1 and g_2 of (e,e') have also been calculated from our model. It is found that the local Quark-Hadron Duality is not seen in the calculated g_1 and g_2, while our results for g_1 and some polarization observables associated with the exclusive p(\vec{e},e' pi) and \vec{p}(\vec{e},e' pi) reactions are in reasonably good agreement with the recent data. In the investigation of parity violating asymmetry A of N(\vec{e},e') reactions, it is found that the non-resonant contribution is small at the Delta peak and a measurement of A can be used to distinguish two previously determined axial N-Delta transition form factors. The predicted asymmetry A are also compared with the Parton Model predictions for future experimental investigations of Quark-Hadron Duality.

28 pages, 19 figures v2; figures and references added

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Cited by in corpus (21)

• Nucleon resonances within a dynamical coupled-channels model of pi N and gamma N reactions
• Dynamical coupled-channels model for neutrino-induced meson productions in resonance region
• Dispersion $\gamma Z$-box correction to the weak charge of the proton
• Electron- versus neutrino-nucleus scattering
• Incoherent Pion Production in Neutrino - Deuteron Reactions
• Measurement of Parity-Violating Asymmetry in Electron-Deuteron Inelastic Scattering
• Angular distributions in electroweak pion production off nucleons: odd parity hadron terms, strong relative phases and model dependence
• Towards a Unified Model of Neutrino-Nucleus Reactions for Neutrino Oscillation Experiments
• Dynamical Models of the Excitations of Nucleon Resonances
• Quark-hadron duality in neutrino scattering
• Measurement of the Parity-Violating Asymmetry in Electron-Deuteron Scattering in the Nucleon Resonance Region
• Neutrino-induced forward meson-production reactions in nucleon resonance region
• Quark-Hadron Duality in the Rein-Sehgal Model
• Weak quasielastic electroproduction of hyperons with polarization observables
• Parity violating asymmetry with nuclear medium effects in deep inelastic $\vec{e}$ scattering
• Neutrino-nucleus reactions in the delta resonance region
• Quark--hadron duality in lepton scattering off nuclei
• Pion production in neutrino interactions with nuclei
• Dynamical model of electroweak pion production in the resonance region
• Appearance of quark-hadron duality in the Rein-Sehgal model
• Neutrino-Deuteron Reactions in the $\Delta$(1232) Region