Abstract
We investigate the binding energy parameters that should be used in modeling electron and neutrino scattering from nucleons bound in a nucleus within the framework of the impulse approximation. We discuss the relation between binding energy, missing energy, removal energy (epsilon ), spectral functions and shell model energy levels and extract updated removal energy parameters from hbox {ee}^{prime }p spectral function data. We address the difference in parameters for scattering from bound protons and neutrons. We also use inclusive e-A data to extract an empirical parameter U_{FSI}( (varvec{q}_3+varvec{k})^2) to account for the interaction of final state nucleons (FSI) with the optical potential of the nucleus. Similarly we use V_{eff} to account for the Coulomb potential of the nucleus. With three parameters epsilon , U_{FSI}( (varvec{q}_3+varvec{k})^2) and V_{eff} we can describe the energy of final state electrons for all available electron QE scattering data. The use of the updated parameters in neutrino Monte Carlo generators reduces the systematic uncertainty in the combined removal energy (with FSI corrections) from ± 20 to ± 5 MeV.
Highlights
The modeling of neutrino cross sections on nuclear targets is of great interest to neutrino oscillations experiments
We use Vef f to account for the Coulomb potential of the nucleus, and extract empirical nucleon final state interaction parameter UF SI ((q3+k)2) from all available inclusive e-A electron scattering data. With these three parameters, UF SI ((q3 + k)2) and Vef f we can describe the energy of final state electrons for all available electron QE scattering data
We investigate the binding energy parameters that should be used in modeling electron and neutrino scattering from nucleons bound in a nucleus within the framework of the impulse approximation
Summary
The modeling of neutrino cross sections on nuclear targets is of great interest to neutrino oscillations experiments. Two dimensional spectral functions (as a function of nucleon momentum and missing energy) can be used Even in this case, MC generators currently used in neutrino oscillations experiments do not account for the final state interaction (FSI) of the final state lepton and nucleon in the optical and Coulomb potentials of the nucleus. We use Vef f (see Appendix A) to account for the Coulomb potential of the nucleus, and extract empirical nucleon final state interaction parameter UF SI ((q3+k)2) from all available inclusive e-A electron scattering data. With these three parameters , UF SI ((q3 + k)2) and Vef f we can describe the energy of final state electrons for all available electron QE scattering data These parameters can be used to improve the predictions of current neutrino MC event generators such as genie and neut for the final state muon and nucleon energies in QE events. We show how approximate post-facto corrections could be applied to these existing MC samples to improve the modeling of the reconstructed muon, final state proton, and unobserved energy in quasielastic (QE) events
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