Pion production by neutrinos in the delta resonance region and possible application to CP searches

We present the results of extensive calculations for charged and neutral current reactions of neutrinos and antineutrinos in the small $Q^2\lsim\unit[0.20]{GeV^2}$ region. The results include single $\frac{\d \sigma}{\d Q^2}$ and double $\frac{\d \sigma^{(A)}}{\d Q^2 \d E_\pi}$ differential cross sections at energies relevant for oscillation experiments. We include nuclear corrections in the Adler-Nussinov-Paschos model and point out that on isoscalar nuclear targets there are charge symmetry relations that hold in extended kinematic regions. We discuss how the results can be used in long baseline experiments in order to study oscillation parameters and search for CP asymmetries.