Speaker
Description
We have studied weak pion production off the nucleon induced by (anti-) neutrino. The model is built by taking the contribution from non-resonant background terms and the dominant $\Delta(1232)$ resonance. We also include higher resonances(four-star in PDG) such as $P_{11}(1440)$, $D_{13}(1520)$, $S_{11}(1535)$, $S_{11}(1650)$ and $P_{13}(1720)$, which helps us to extend the model to higher invariant mass and hence to higher neutrino energies. We write the chiral lagrangian for neutral current for non-resonant diagrams, which helps us to include a complete set of diagrams at the lowest order. We derived the isospin-relations for the NC for the resonant terms as well. The vector form factors for the resonances are obtained from Helicity Amplitudes provided by MAID. For axial coupling, we rely on PCAC and GTR. The cross-section results are presented and discussed for all the possible channels of NC single pion production induced by NC interactions. We are also tuning the resonance parameters to make them consistent with the electro- and photo-production data.
| Session | Neutrino Physics |
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