If the flux is known to a few %, then the cross section can be measured:

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If the flux is known to a few %, then the cross section can be measured:

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If the flux is known to a few %, then the cross section can be measured:

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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

- 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

Prediction = Rein-Sehgal MA=1.2 GeV/c2

MS@nuint01

1x10-381.0

(cm2)

0.0

M.Sakuda@NuFact05