Measurement of the Spectral Function of $^{40}$Ar through the $(e,e^\prime p)$ reaction
2016
The interpretation of the signals detected by high precision experiments aimed at measuring
neutrino oscillationsrequires an accurate description of the
neutrino-nucleus cross sections. One of the key element of the analysis is the treatment of nuclear effects, which is one of the main sources of systematics for accelerator based experiments such as the Long Baseline
NeutrinoExperiment (LBNE). A considerable effort is currently being made to develop theoretical models capable of providing a fully quantitative description of the
neutrino-nucleus cross sections in the kinematical regime relevant to LBNE. The approach based on nuclear
many-body theoryand the spectral function formalism has proved very successful in explaining the available electron scattering data in a variety of kinematical conditions. The first step towards its application to the analysis of
neutrinodata is the derivation of the spectral functions of nuclei employed in
neutrino detectors, in particular argon. We propose a measurement of the coincidence $(e,
e^\
primep)$ cross section on argon. This data will provide the experimental input indispensable to construct the argon spectral function, thus paving the way for a reliable estimate of the
neutrinocross sections. In addition, the analysis of the $(e,
e^\
primep)$ data will help a number of theoretical developments, like the description of final-state interactions needed to isolate the initial-state contributions to the observed single-particle peaks, that is also needed for the interpretation of the signal detected in
neutrinoexperiments.
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