2012/06/30 by Xilin Zhang, Brian D. Serot
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Effective field theory #Isoscalar #Isovector #Meson #MiniBooNE #Neutrino #Neutrino Physics Research #Neutrino oscillation #Nuclear physics #Nucleon #Particle physics #Particle physics theoretical and experimental studies #Photon #Physics #Pion #Pseudovector #Quantum electrodynamics #Quantum mechanics #Sterile neutrino #Vector meson #Vector meson dominance #hep-ex #nucl-ex #nucl-th
paper · pdf · doi:10.1103/physrevc.86.035502
published as Phys. Rev. C 86, 035502 (2012) · 32 pages, 12 figures, and 3 tables, typos corrected
openalex publication_date 2012/09/04 · arxiv created 2012/09/27 · arxiv updated 2012/09/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the incoherent neutrinoproduction of photons and pions with neutrino energy E_\ensuremathν\ensuremath\leqslant0.5\phantom\rule4pt0exGeV. These processes are relevant to the background analysis in neutrino-oscillation experiments [for example, MiniBooNE; A. A. Aquilar-Arevalo et al. (MiniBooNE Collaboration), Phys. Rev. Lett. 100, 032301 (2008)]. The calculations are carried out using a Lorentz-covariant effective field theory (EFT), which contains nucleons, pions, the Delta (1232) (\ensuremathΔ), isoscalar scalar (\ensuremathσ) and vector (\ensuremathω) fields, and isovector vector (\ensuremathρ) fields, and has SU(2)L\ensuremath\bigotimesSU(2)R chiral symmetry realized nonlinearly. The contributions of one-body currents are studied in the local Fermi gas approximation. The current form factors are generated by meson dominance in the EFT Lagrangian. The conservation of the vector current and the partial conservation of the axial current are satisfied automatically, which is crucial for photon production. The \ensuremathΔ dynamics in nuclei, as a key component in the study, is explored. Introduced \ensuremathΔ-meson couplings explain the \ensuremathΔ spin-orbit coupling in nuclei, and this leads to interesting constraints on the theory. Meanwhile, a phenomenological approach is applied to parametrize the \ensuremathΔ width. To benchmark our approximations, we calculate the differential cross sections for quasielastic scattering and incoherent electroproduction of pions without a final-state interaction (FSI). The FSI can be ignored for photon production.