Dynamical Model of Coherent Pion Production in Neutrino-Nucleus Scattering

Abstract

We study coherent pion production in neutrino-nucleus scattering in the energy region relevant to neutrino oscillation experiments of current interest. Our approach is based on a combined use of the Sato-Lee model of electroweak pion production on a nucleon and the Delta-hole model of pion-nucleus reactions. Thus we develop a model which describes pion-nucleus scattering and electroweak coherent pion production in a unified manner. Numerical calculations are carried out for the case of the 12C target. All the free parameters in our model are fixed by fitting to both total and elastic differential cross sections for pi-12C scattering. Then we demonstrate the reliability of our approach by confronting our prediction for the coherent pion photo-productions with data. Finally, we calculate total and differential cross sections for neutrino-induced coherent pion production, and some of the results are (will be) compared with the recent (forthcoming) data from K2K, SciBooNE and MiniBooNE. We also study effect of the non-locality of the Delta-propagation in the nucleus, and compare the elementary amplitudes used in different microscopic calculations.

42 pages, 21 figures

References in corpus (9)

• Measurement of Neutrino Oscillation by the K2K Experiment
• Weak Pion Production off the Nucleon
• Search for Charged Current Coherent Pion Production on Carbon in a Few-GeV Neutrino Beam
• First Observation of Coherent ${\pi }^0$ Production in Neutrino Nucleus Interactions with $E_{\nu }<$ 2 GeV
• PCAC and the Deficit of Forward Muons in pi^+ Production by Neutrinos
• Theoretical study of neutrino-induced coherent pion production off nuclei at T2K and MiniBooNE energies
• Neutrino Induced Coherent Pion Production off Nuclei and PCAC
• Search for neutrino charged current coherent pion production at SciBooNE
• Search for Antineutrino Charged Current Coherent Pion Production at SciBooNE

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