Neutrino production of hadrons at low energy and in the small $Q^2$ region

Abstract

We use PCAC in the small $Q^2$ region in order to calculate the Adler sum rule and the production of hadrons in the low energy region where resonances dominate. We find very good agreement with the sum rule and with the computed cross sections. We find a value $C_5^A(0)$ close to the Goldberger-Treiman prediction. The formalism is general and can be applied to other reactions shedding light into the dynamical transition from resonances to deep inelastic scattering.

arXiv comment15 pages, 8 figures, comments added

References in corpus (15)

• Updated analysis of $\pi$N elastic scattering data to 2.1~GeV: The Baryon Spectrum
• Weak Pion Production off the Nucleon
• Electron- and neutrino-nucleus scattering from the quasielastic to the resonance region
• Measurement of Neutrino-Induced Charged-Current Charged Pion Production Cross Sections on Mineral Oil at E${}_{\nu }\sim 1\text{GeV}$
• Resonance production by neutrinos: The second resonance region
• $C_5^A$ axial form factor from bubble chamber experiments
• Resonance production by neutrinos: I. J=3/2 Resonances
• N-Delta(1232) axial form factors from weak pion production
• Neutrino Production of Resonances
• $\nu d\to {\mu }^{-}{\Delta }^{++}n$ Reaction and Axial Vector $N-\Delta$ Coupling
• One pion production in neutrino reactions: including non-resonant background
• Coherent pion production by neutrinos on nuclei
• Coherent Pion Production
• Quark-hadron duality in neutrino scattering
• CC1${\pi }^{+}$ to CCQE cross sections ratio at accelerator energies

Cited by in corpus (5)

• Progress and open questions in the physics of neutrino cross sections
• Dynamical coupled-channels model for neutrino-induced meson productions in resonance region
• Neutrino-induced forward meson-production reactions in nucleon resonance region
• Methods to Determine Neutrino Flux at Low Energies:Investigation of the Low $\nu$ Method
• Flavor structure of generalized parton distributions from neutrino experiments