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.

15 pages, 8 figures, comments added

References in corpus (9)

• 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${}_{\nu }\sim 1\text{GeV}$
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Cited by in corpus (2)

• Neutrino-induced forward meson-production reactions in nucleon resonance region
• Flavor structure of generalized parton distributions from neutrino experiments