Discussion on Cross Sections Experimental need:

1. Discussion on Cross Sections Experimental need: How accurate can we predict the  - e event ratio? Questions How accurate can we predict the cross section (d/dE) ratio  MA and models 1) of  and e ? 2) of  and ¯ ? 3) How accurate is the energy dependence of the calculated cross sections? 4) How accurately can the pion energy spectrum in the single pion production be predicted? Discussions on a) QE b) Single pion production

3. List of systematic uncertaintiesrelated to n interaction (in Super-K analyses) • MA in Quasi-elastic and single-pion production 10 % in MA value • Quasi-elastic scattering (model dependence) 1s for difference NEUT vs. Singh & Oset • Quasi-elastic scattering (cross-section) 10 % • Single-meson production (cross-section) 10 % • Multi-pion production (model dependence) 1s for difference NEUT vs. Bodek & Yang • Multi-pion production (total cross-section) 5 % • Coherent pion production (total cross-section) 30 % • NC/CC cross-section ratio 20 % • Nuclear effect in 16O 30 % • Energy spectrum of pions 1s for difference NEUT vs. Nuance • CC nt interaction cross-section 30 %

4. Systematic uncertainties in MAfor QE and single-p production models Sub-GeV single-ring e-like (Pe<400MeV/c) Sub-GeV single-ring e-like (Pe>400MeV/c) MA = 1.11 MA = 1.01 MA = 1.11 MA = 1.01 R(MA=1.01/MA=1.11) R(MA=1.01/MA=1.11) lepton scattering angle lepton scattering angle

5. Systematic uncertainties in QE cross-section calculation models (NEUT vs. Singh) ne ne QE cross section NEUT relativistic Fermi gas model with flat momentum dist. Singh and Oset’s model nm nm

6. Systematic uncertainties in QE cross section calculation models (NEUT vs. Singh) cont’d s(QE)Singh / s(QE)NEUT ne ne NEUT relativistic Fermi gas model with flat momentum dist. independent Singh and Oset’s model nm nm

7. p nuclear effects in 16O p+ – 16O cross section (NEUT vs. Data) Probability of p0 – 16Ointeraction in NEUT