Extraction of structure functions for lepton-nucleus scattering in the quasi-elastic region

Within the framework of a relativistic single-particle model, we calculate inclusive electron-nucleus scattering by electromagnetic current, and neutrino-nucleus scattering by neutral and charged current in the quasi-elastic region. The longitudinal, the transverse, and the transverse-interference structure functions are extracted from the theoretical cross section by using the Rosenbluth separation method at fixed momentum transfer and scattering angle and then compared with each other from the viewpoint of these current interactions. The position of peak for the electron scattering shifts to higher energy transfer than that for the neutrino scattering. The axial and pseudoscalar terms turn out to play an important role in the neutrino-nucleus scattering.

Figure 1

The longitudinal structure functions in terms of the energy transfer by keeping the momentum transfer. The solid curves are the results for the electron scattering, the dashed lines are for the NC neutrino scattering, and the dotted lines are without an axial form factor of the NC neutrino scattering.

Figure 2

The transverse structure functions in terms of the energy transfer by keeping the momentum transfer. The solid curves are the results for the electron scattering, the dashed lines are for the NC neutrino scattering, and the dotted lines are without an axial form factor of the NC neutrino scattering.

Figure 3

The transverse-interference structure functions in terms of the energy transfer by keeping the momentum transfer. The solid curves are the results for the NC neutrino scattering and the dashed lines are for the CC neutrino scattering.