Neutrino Induced Coherent Pion Production off Nuclei and PCAC

Abstract

We review the Rein--Sehgal model and criticize its use for low energy neutrino induced coherent pion production. We have studied the validity of the main approximations implicit in that model, trying to compare with physical observables when that is possible and with microscopical calculations. Next, we have tried to elaborate a new improved model by removing the more problematic approximations, while keeping the model still reasonably simple. Last, we have discussed the limitations intrinsic to any approach based on the partial conservation of the axial current hypothesis. In particular, we have shown the inability of such models to determine the angular distribution of the outgoing pion with respect to the direction of the incoming neutrino, except for the $q^2=0$ kinematical point.

19 latex pages, 7 figures, 1 table. Version accepted for publication in Physical Review D

References in corpus (7)

• Weak Pion Production off the Nucleon
• Resonance production by neutrinos: The second resonance region
• 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
• The axial N to Delta transition form factors from Lattice QCD

Cited by in corpus (8)

• Progress and open questions in the physics of neutrino cross sections
• Measurement of Coherent Production of ${\pi }^{\pm }$ in Neutrino and Anti-Neutrino Beams on Carbon from $E_{\nu }$ of $1.5$ to $20$ GeV
• Coherent Neutrinoproduction of Photons and Pions in a Chiral Effective Field Theory for Nuclei
• Pion Production in High-Energy Neutrino Reactions with Nuclei
• Coherent pion production off nuclei at T2K and MiniBooNE energies revisited
• Measurement of single ${\pi }^0$ production by coherent neutral-current $\nu$ Fe interactions in the MINOS Near Detector
• Summary of Workshop on Common Neutrino Event Generator Tools
• Neutrino Induced Charged Current Coherent Pion Production for Constraining the Muon Neutrino Flux at DUNE