Inclusive rates for GeN
I have calculated the inclusive rates for GeN using a model of the quasielastic and deep inelastic cross sections. In this model the elastic electron nucleon and inelastic electron nucleon are smeared by a momentum distribution extracted from data. The model does quite well fitting the experimental cross sections and should be considered to be good within 10%.
In order to properly weight the rates from each species, I calculated the luminosity for each speices based on the molecular composition of ND3 and the filling factor of the target gives the amount of the 3 cm target which is occupied by ammonia and helium. I have not considered scattering from the entrance and exit windows.
I have calculated the rates at our four kinematic points using the following values of the beam energy and scattering angle.
Q^2
Incident Beam Energy
Electron scattering angle
0.5
2.724
15.7
1.0
4.507
13.57
1.5
4.996
15.38
2.0
4.996
18.4
Below are the plots for the rates in a 15 MeV bin. No
consideration of of any processes other than quasielastic or
inelastic electron nucleon scattering has been considered.
The red solid line gives the total rate in a 15 MeV bin, while the green, blue and yellow solid lines give the rates from nitrgoen, deuterium and helium respectively.