Weak pion-production and the second resonance region

Abstract

In this work we report the calculation of the total cross section for pion-production by the dispersion of neutrinos on nucleons. We use a consistent formalism for the intermediate resonance states of spin $3/2$ , taking care on the conditions imposed by the invariance on contact transformations and using the Sachs parametrization for the form factors. In addition, we incorporate states in the second resonance region up to 1.6 GeV and implement different approaches for all the dressed resonance propagators. In addition to the $\Delta$(1232), we include the N${}^{\ast }$(1440),N${}^{\ast }$(1535)and N${}^{\ast }$(1520) resonance contributions, and it is shown that this inclusion improve the description of the total cross section regards a model where only the $\Delta$(1230) resonance is considered. Also results for antineutrinos are properly described.

Manuscript has been accepted for publication as a Regular Article in Physical Review D

References in corpus (8)

• Weak Pion Production off the Nucleon
• Electron- and neutrino-nucleus scattering from the quasielastic to the resonance region
• Resonance production by neutrinos: The second resonance region
• Reanalysis of bubble chamber measurements of muon-neutrino induced single pion production
• $C_5^A$ axial form factor from bubble chamber experiments
• One pion production in neutrino reactions: including non-resonant background
• Electroweak Form Factors of the $\Delta$(1232) Resonance
• Neutrino-induced one-pion production revisited: the ${\nu }_{\mu }n\to {\mu }^{-}n{\pi }^{+}$ channel

Cited by in corpus (1)

• Neutrino-induced single pion production and the reanalyzed bubble chamber data