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How we improve the cross section measurement or how we Improve the analysis of MA. You measure (E m , q m , E had ) and reconstruct E n. If the flux is known to a few %, then the cross section can be measured:. Then, Q 2 distribution is plotted.
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How we improve the cross section measurement or how we Improve the analysis of MA You measure (Em, qm, Ehad) and reconstruct En. • If the flux is known to a few %, then the cross section can be measured: Then, Q2 distribution is plotted. M.Sakuda@NuFact05
MA parameter is needed in the detector simulation before we have a perfect cross section measurement. But, how do we parametrize? 1. Vector form factors can be measured. N(e,e’),N(e,e’p) 2. Nuclear effects can be measured. N(e,e’),N(e,e’p) To determine neutrino cross section, we need good pion cross Section, namely good flux measurement. HARP,E910,MIPP What are the systematic errors? Overall normalization error? Shape (spectrum) error? These two must be separated. It is important to estimate the spectrum error, ie, energy dependent errors (spectrum errors) are given. s(Pp, qp) Unless you have confidence in your flux shape, flux dependent an alaysis Should be avoided. Flux error is 10-20%.Ds=DMA. Statistical error in MA from shape analysis is +-3%. Shape is not a simple dipole. M.Sakuda@NuFact05
Ds=DMA Problem 1. Statistical error in MA is +-3%. Shape is not a simple dipole. Flux error is 10-20%. • If the flux is known to a few %, then the cross section can be measured: Then, Q2 distribution is plotted. M.Sakuda@NuFact05
Pauli Bloching effect Nuclear effects are large in the low Q2 region, where the cross section is large. En=1.3 GeV,kF=220 MeV/c ds/dQ2 n m- Quasi-elastic q W/o Pauli effect n p P p W/ Pauli effect Total 8% 0.5 1.0 ds/dQ2 If P <kF , suppressed. n m- D production 10-15% suppression At low Q2 Total 3% reduction q p D P p P p W M.Sakuda@NuFact05
Charged-Current Quasi-elastic Scattering • This is the simplest and the most important reaction.Calculation by Ch.L.Smith et al. with MA=1.0. _ s(nmpm+n) s(nmnm-p) 1.0 1x10-381.0 (cm2) Pauli effect ~8% 0.1 1.0 10. 50. 0. 0.1 1. 10. M.Sakuda@NuFact05
Single Pion Production Cross Section Prediction = Rein-Sehgal MA=1.2 GeV/c2 MS@nuint01 1x10-381.0 (cm2) 0.0 M.Sakuda@NuFact05