2014/12/31 by Jia-Jun Wu, T. Sato, T. -S. H. Lee +1 · 3 citations
Physics and Astronomy · #Amplitude #Deuterium #Electroweak interaction #Neutrino #Neutrino Physics Research #Nuclear physics #Nucleon #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Production (economics) #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Resonance (particle physics) #Scattering #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevc.91.035203
published as Phys. Rev. C 91, 035203 (2015) · 22 pages, 13 figures
arxiv created 2015/03/05 · openalex publication_date 2015/03/09 · arxiv updated 2015/03/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Within the multiple scattering formulation, the incoherent pion production in neutrino-deuteron reactions at energies near the \ensuremathΔ(1232) resonance is investigated. The calculations include an impulse term and one-loop contributions from nucleon-nucleon (NN) and pion-nucleon (\ensuremathπN) final-state interactions. The input amplitudes of \ensuremathπN scattering and electroweak pion-production reaction on the nucleon are generated from a dynamical model, which describes very extensive data of \ensuremathπN 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 \ensuremathν+d\ensuremath→\ensuremathμ^\ensuremath-+\ensuremathπ++n+p and \ensuremathν+d\ensuremath→\ensuremathμ^\ensuremath-+\ensuremathπ0+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 \ensuremathν+d\ensuremath→\ensuremathμ^\ensuremath-+\ensuremathπ++n+p, but is a good approximation for \ensuremathν+d\ensuremath→\ensuremathμ^\ensuremath-+\ensuremathπ0+p+p.