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Neutrino induced coherent pion production off nuclei and the partial conservation of the axial current

E. Hernández1, J. Nieves2, and M. J. Vicente Vacas3

  • 1Grupo de Física Nuclear, Departamento de Física Fundamental e IUFFyM, Facultad de Ciencias, E-37008 Salamanca, Spain
  • 2Instituto de Física Corpuscular (IFIC), Centro Mixto CSIC-Universidad de Valencia, Institutos de Investigación de Paterna, Aptd. 22085, E-46071 Valencia, Spain
  • 3Departamento de Física Teórica and IFIC, Centro Mixto CSIC-Universidad de Valencia, Institutos de Investigación de Paterna, Aptd. 22085, E-46071 Valencia, Spain

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Phys. Rev. D 80, 013003 – Published 7 July, 2009

DOI: https://doi.org/10.1103/PhysRevD.80.013003

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 q2=0 kinematical point.

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Phys. Rev. D 80, 013003– Published 7 July, 2009
  • Received 31 March 2009

© 2009 American Physical Society

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