The LUND files are broken into 1000 events per file due to the simulation limits of GEMC. Once the LUND file is used in the GEMC simulation an evio file with 1000 events is created. Since only the LUND file contains the weighting factor, both the LUND and evio files are read simultaneously. This simultaneous reading implies that the LUND event corresponds with the generated particle data in the evio file. Relativistically, for particles that travel along the beam line, this dimension is Lorentz compressed. As the angle of the particle approaches a direction perpendicular to the beam line, this compression decreases since the relativistic component decreases. This implies that the number of events that occur in the lab frame of reference near the beam line is larger than the number as it approaches a perpendicular direction. To understand the "density" of the number of events per bins in the lab frame, a study of 1000 events in the center of mass frame per 1 degree in the lab frame is investigated.
The LUND files are broken into 1000 events per file to produce manageable GEMC output file sizes. The kinematics of these Moller events is shown fin Figure 1.
==1000 events per degree of 5 to 40 degrees in the Lab Frame==
Examing the CM Frame Theta angles which correspond to Lab frame angles within 5-40 degrees (with bin widths of 1 degree), for only on degree in Phi (0 degrees). For each degree in Theta in the Lab frame, the correct kinematic variables for a specific events is written to a LUND file 1000 times.
[[File:MolMomCM_11_2.png |thumb | border | center |500 px |alt=Moller Momentum Center of Mass Frame |'''Figure 1a:''' A plot of Moller electron momentum in the center of mass frame.]][[File:MolTheteaCM_full.png |thumb | border | center |500 px |alt=Moller Theta Center of Mass |'''Figure 1b:'''A plot of Moller electron scattering angle theta in the center of mass frame.]]
The Moller Scattering angle Theta is read from the LUND file, it's weight applied, and it's weight adjusted by dividing by the number it was multiplied by (1000) to give a differential cross-section for one electron. This is plotted against the theoretical differential cross-section for one Moller electron.
<center>[[File:MolThetaCM_Theory.png]]</center>
From the evio file, a histogram can be constructed that will only record the Moller events which result in hits in the drift chamber. A hit for this setting is the procID=90
Plotting the Moller scattering angle Theta in the Center of Mass frame just for on occurance of the CM angle gives the Moller Differential Cross-section.
Adjusting the weight by the number of times the specific angle caused hits. We should recover the Moller differential cross-section as found previously.
Once the validity of the Moller differential cross-section is established, we can transform from the center of mass to the lab frame as shown earlier. Since the detector is in the lab frame, the hits collected will have to be used to compose a histogram for the Moller scattering angle in the lab frame. We can show that the Moller events that register as hits in the lab matches the Moller differential cross-section in the lab.
==Isotropic Spread in CM Frame for 5-40 degrees in Lab==
As was done for the situation of 1000 events per degree in the lab frame of reference, the isotropic distribution of scattering angle theta in the center of mass frame can be weighted to reproduce a Moller differential cross-section.
Since the dimension parallel to the direction of motion "compresses" with speeds approaching the speed of light, the number of events that occur at 5 degrees are different than 40 degrees. Collecting the number of events that occur within 0.5 degree bin width.
<center>[[File:BinCounts.png]]</center>
This can be plotted by dividing each entry into the bin by the number of events per that bin and multiplying by the corresponding weight factor.
To associate the hits with the Moller scattering angle theta, the occupancy plots of the drift chamber hits by means of wire numbers and layer must be translated using the physical constraints of the detector. Using the data released for the DC:
The LUND files are broken into 1000 events per file to produce manageable GEMC output file sizes. The kinematics of these Moller events is shown fin Figure 1.
Figure 1a: A plot of Moller electron momentum in the center of mass frame.Figure 1b:A plot of Moller electron scattering angle theta in the center of mass frame.
