Incoherent pion production in neutrino-deuteron interactions

Jia-Jun Wu, T. Sato, and T.-S. H. Lee
Phys. Rev. C 91, 035203 – Published 9 March 2015

Abstract

Within the multiple scattering formulation, the incoherent pion production in neutrino-deuteron reactions at energies near the Δ(1232) resonance is investigated. The calculations include an impulse term and one-loop contributions from nucleon-nucleon (NN) and pion-nucleon (πN) final-state interactions. The input amplitudes of πN scattering and electroweak pion-production reaction on the nucleon are generated from a dynamical model, which describes very extensive data of πN scattering and both the electromagnetic and the weak pion-production reactions on the nucleon. The NN scattering amplitudes are generated from the Bonn potential. The validity of the calculational procedures is established by giving a reasonably good description of the data of pion photoproduction on the deuteron. The constructed model is then applied to predict the cross sections of ν+dμ+π++n+p and ν+dμ+π0+p+p reactions. The importance of including the NN final-state interactions to understand the experimental data of these neutrino-deuteron reactions is demonstrated. Our results strongly suggest that the spectator approximation used in the previous analyses to extract the pion-production cross sections on the nucleon from the data on the deuteron is not valid for the ν+dμ+π++n+p, but is a good approximation for ν+dμ+π0+p+p.

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  • Received 8 December 2014
  • Revised 7 February 2015

DOI:https://doi.org/10.1103/PhysRevC.91.035203

©2015 American Physical Society

Authors & Affiliations

Jia-Jun Wu1, T. Sato2, and T.-S. H. Lee1

  • 1Physics Division, Argonne National Laboratory, Argonne, Illinois 60439, USA
  • 2Department of Physics, Osaka University, Toyonaka, Osaka 560-0043, Japan

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Issue

Vol. 91, Iss. 3 — March 2015

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