Neutrino induced threshold production of two pions and N^*(1440) electroweak form factors

Abstract

We study the threshold production of two pions induced by neutrinos in nucleon targets. The contribution of nucleon, pion and contact terms are calculated using a chiral Lagrangian. The contribution of the Roper resonance, neglected in earlier studies, has also been taken into account. The numerical results for the cross sections are presented and compared with the available experimental data. It has been found that in the two pion channels with ${\pi }^{+}{\pi }^{-}$ and ${\pi }^0{\pi }^0$ in the final state, the contribution of the $N^{\ast }(1440)$ is quite important and could be used to determine the $N^{\ast }(1440)$ electroweak transition form factors if experimental data with better statistics become available in the future.

This version corrects a mistake on the helicity amplitudes sign. Additional comments on resonance-background relative sign are added. Other minor corrections. Matches published version. 17 pages, 7 figures

References in corpus (6)

• Unitary Isobar Model - MAID2007
• Weak Pion Production off the Nucleon
• Resonance production by neutrinos: The second resonance region
• Theoretical uncertainties on quasielastic charged-current neutrino-nucleus cross sections
• Charged Current Single Pion Cross Section Measurement at MiniBooNE
• Prospects for Antineutrino Running at MiniBooNE

Cited by in corpus (9)

• Electron- and neutrino-nucleus scattering from the quasielastic to the resonance region
• One pion production in neutrino reactions: including non-resonant background
• Electron- versus neutrino-nucleus scattering
• Neutrino induced pion production at MiniBooNE and K2K
• Inclusive and pion production neutrino-nucleus cross sections
• Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
• The Ghent Hybrid Model in NuWro: a new neutrino single-pion production model in the GeV regime
• Assessing the theory-data tension in neutrino-induced charged pion production: the effect of final-state nucleon distortion
• Charged current (anti)neutrino induced eta production off the nucleon