Cross sections for $A(e,e^{\prime })X$ reactions

Recent JLAB measurements of inclusive ($e,A$) cross sections as a function of outgoing lepton momentum may provide information on the nucleon spectral function in targets that will be relevant for the planned DUNE neutrino long-baseline experiment. They also provide an important testing ground for neutrino generators. We have therefore used the transport theoretical framework and code gibuu to calculate the cross sections for the targets C, Ar, and Ti. We compare the calculations with the experimental data. The overall agreement is good. Relatively small discrepancies appear mainly on the low-electron-energy side of the QE peak where QE and 2p2h excitation processes overlap.

Figure 1

The two potentials corresponding to the parameter sets EQS5 (solid) and EQS14 (dashed) at density ${\rho }_0=0.16{\text{fm}}^{-3}$ as a function of kinetic energy. EQS14 (dashed) is obtained from a fit to experimental $pA$ data [12] at $r=0$.

Figure 2

Inclusive cross section for ($e,{}^{12}\mathrm{C}$) at 2.222 GeV and 15.541 deg as a function of outgoing electron energy $E^{\prime }$. The various curves give the contributions of different interaction processes to the total. The data are taken from Ref. [4].

Figure 3

Inclusive cross section for ($e,{}^{40}\mathrm{Ar}$) at 2.222 GeV and 15.541 deg as a function of outgoing electron energy $E^{\prime }$. The various curves give the contributions of different interaction processes to the total. The black solid line gives the total cross section calculated with EQS14, the topmost dashed black line, which nearly overlaps with the solid line, gives the total cross section calculated with EQS5. The data are taken from Ref. [5].

Figure 4

Inclusive cross section for ($e,{}^{48}\mathrm{Ti}$) at 2.222 GeV and 15.541 deg as a function of outgoing electron energy $E^{\prime }$. The various curves give the contributions of different interaction processes to the total. The data are taken from Ref. [4].

Figure 5

Inclusive cross section per proton for ($e$, C), ($e$, Ar), and ($e$, Ti) at 2.222 GeV and 15.541 deg as a function of outgoing electron energy $E^{\prime }$.