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Title: Neutrino induced weak pion production off the nucleon and coherent pion production in nuclei at low energies

Abstract

We present a microscopic model for neutrino induced one-pion production off the nucleon and its implementation for the purpose of calculating coherent pion production in nuclei. We further criticize the use of the Rein-Sehgal model for coherent pion production by low energy neutrinos. In particular, we show how the approximations in that model give rise to a much flatter differential cross section in the {eta} = E{sub {pi}}(1-cos {theta}{sub {pi}}) variable. We discuss the limitations intrinsic to any approach based on the partial conservation of the axial current hypothesis and the inability of such models to properly determine the angular distribution of the outgoing pion with respect to the direction of the incoming neutrino. We show the effects of those limitation for the case of the (d{sigma}/d{eta}) differential cross section.

Authors:
 [1];  [2];  [3];  [4];  [5]
  1. Departamento de Fisica Atomica, Molecular y Nuclear, Universidad de Granada, E-18071 Granada (Spain)
  2. Departamento de Fisica Fundamental e IUFFyM, Facultad de Ciencias, E-37008 Salamanca (Spain)
  3. Instituto de Fisica Corpuscular (IFIC), Centro Mixto CSIC- Universidad de Valencia, Institutos de Investigacion de Paterna, Aptd. 22085, E-46071 Valencia (Spain)
  4. Research Center for Nuclear Physics (RCNP), Osaka University, Ibaraki 567-0047 (Japan)
  5. Departamento de Fisica Teorica and IFIC, Centro Mixto CSIC-Universidad de Valencia, Institutos de Investigacion de Paterna, Aptd. 22085, E-46071 Valencia (Spain)
Publication Date:
OSTI Identifier:
21335843
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1189; Journal Issue: 1; Conference: NUINT-09: 6. international workshop on neutrino-nucleus interactions in few GeV region, Barcelona (Spain), 18-22 May 2009; Other Information: DOI: 10.1063/1.3274160; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; ANGULAR DISTRIBUTION; APPROXIMATIONS; COHERENT PRODUCTION; DIFFERENTIAL CROSS SECTIONS; NEUTRINO REACTIONS; NEUTRINO-NUCLEON INTERACTIONS; NEUTRINOS; NUCLEI; NUCLEONS; PCAC THEORY; PIONS

Citation Formats

Amaro, J E, Hernandez, E, Nieves, J, Valverde, M, and Vicente-Vacas, M J. Neutrino induced weak pion production off the nucleon and coherent pion production in nuclei at low energies. United States: N. p., 2009. Web. doi:10.1063/1.3274160.
Amaro, J E, Hernandez, E, Nieves, J, Valverde, M, & Vicente-Vacas, M J. Neutrino induced weak pion production off the nucleon and coherent pion production in nuclei at low energies. United States. https://doi.org/10.1063/1.3274160
Amaro, J E, Hernandez, E, Nieves, J, Valverde, M, and Vicente-Vacas, M J. Wed . "Neutrino induced weak pion production off the nucleon and coherent pion production in nuclei at low energies". United States. https://doi.org/10.1063/1.3274160.
@article{osti_21335843,
title = {Neutrino induced weak pion production off the nucleon and coherent pion production in nuclei at low energies},
author = {Amaro, J E and Hernandez, E and Nieves, J and Valverde, M and Vicente-Vacas, M J},
abstractNote = {We present a microscopic model for neutrino induced one-pion production off the nucleon and its implementation for the purpose of calculating coherent pion production in nuclei. We further criticize the use of the Rein-Sehgal model for coherent pion production by low energy neutrinos. In particular, we show how the approximations in that model give rise to a much flatter differential cross section in the {eta} = E{sub {pi}}(1-cos {theta}{sub {pi}}) variable. We discuss the limitations intrinsic to any approach based on the partial conservation of the axial current hypothesis and the inability of such models to properly determine the angular distribution of the outgoing pion with respect to the direction of the incoming neutrino. We show the effects of those limitation for the case of the (d{sigma}/d{eta}) differential cross section.},
doi = {10.1063/1.3274160},
url = {https://www.osti.gov/biblio/21335843}, journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1189,
place = {United States},
year = {2009},
month = {11}
}