Neutrino-induced pion production from nuclei at medium energies

Abstract

We present a fully relativistic formalism for describing neutrino-induced $\Delta$-mediated single-pion production from nuclei. We assess the ambiguities stemming from the $\Delta$ interactions. Variations in the cross sections of over 10% are observed, depending on whether or not magnetic-dipole dominance is assumed to extract the vector form factors. These uncertainties have a direct impact on the accuracy with which the axial-vector form factors can be extracted. Different predictions for $C_5^A(Q^2)$ induce up to 40-50% effects on the $\Delta$-production cross sections. To describe the nucleus, we turn to a relativistic plane-wave impulse approximation (RPWIA) using realistic bound-state wave functions derived in the Hartree approximation to the $\sigma$-$\omega$ Walecka model. For neutrino energies larger than 1 GeV, we show that a relativistic Fermi-gas model with appropriate binding-energy correction produces comparable results as the RPWIA which naturally includes Fermi motion, nuclear-binding effects and the Pauli exclusion principle. Including $\Delta$ medium modifications yields a 20 to 25% reduction of the RPWIA cross section. The model presented in this work can be naturally extended to include the effect of final-state interactions in a relativistic and quantum-mechanical way. Guided by recent neutrino-oscillation experiments, such as MiniBooNE and K2K, and future efforts like MINER$\nu$A, we present $Q^2$, $W$, and various semi-inclusive distributions, both for a free nucleon and carbon, oxygen and iron targets.

25 pages, 14 figures

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Cited by in corpus (21)

• Transport-theoretical Description of Nuclear Reactions
• NuSTEC White Paper: Status and Challenges of Neutrino-Nucleus Scattering
• Measurement of Neutrino-Induced Charged-Current Charged Pion Production Cross Sections on Mineral Oil at E${}_{\nu }\sim 1\text{GeV}$
• Progress and open questions in the physics of neutrino cross sections
• Nuclear effects in electron- and neutrino-nucleus scattering within a relativistic quantum mechanical framework
• One pion production in neutrino reactions: including non-resonant background
• Electron- versus neutrino-nucleus scattering
• Neutrinoproduction of Photons and Pions From Nucleons in a Chiral Effective Field Theory for Nuclei
• Electroweak single-pion production off the nucleon: from threshold to high invariant masses
• Pion production within the hybrid relativistic plane wave impulse approximation model at MiniBooNE and MINERvA kinematics
• Coherent Neutrinoproduction of Photons and Pions in a Chiral Effective Field Theory for Nuclei
• Measurement of the muon neutrino charged-current single ${\pi }^{+}$ production on hydrocarbon using the T2K off-axis near detector ND280
• Incoherent Neutrinoproduction of Photons and Pions in a Chiral Effective Field Theory for Nuclei
• Modeling neutrino-induced charged pion production on water at T2K kinematics
• On Impact of Nuclear Effects on Weak Pion Production in Sub 1 GeV Energy Region
• Flavor structure of generalized parton distributions from neutrino experiments
• The SuSAv2 model for inelastic neutrino-nucleus scattering
• Angular distributions in Monte Carlo event generation of weak single-pion production
• Neutrino induced 1-pion production
• Towards a more complete description of nucleon distortion in lepton-induced single-pion production at low-$Q^2$
• Present Status of Single Pion Production in Neutrino-Nucleus Reactions