Comparison of GEANT Simulation to Whitney Data

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[math]\textbf{Navigation}[/math]

[math]\vartriangleleft [/math] [math]\triangle [/math] [math]\vartriangleright [/math]


Rates
Simulation GEANT4(1cm target) GEANT4(1cm target) GEANT4(5cm target) GEANT4(5cm target) Whitney
Length of Target (cm) 1 1 5 5 5
[math]N_{incident}[/math] 4E7 4E8 6E6 6E7 6E7
[math]N_{events}[/math] 1026940 10270829 4826141 1001700
[math]N_{Moller}[/math] 975593 9757288 4584834 951138
[math]t_{simulated}[/math] (s) 1.3E-5 1.3E-4 9.62E-5 9.54E-5
Event Cross-Section (b) 0.61 0.61 0.38 0.079
Total Moller Cross-Section (b) 0.58 0.58 0.361 0.075
Individual Moller Cross-Section (b) 5.95E-7 5.94E-8 7.87E-8 7.88E-8
Moller event rate per barn ([math]b^{-1}[/math]) 1.68E6 1.68E6 1.27E7 1.27E7


Total dectector events occur for about 2.5% of the incident electrons on a LH2 target. We can assume that the Moller rate is 95% of the total event rate. We can assume the number of Moller events that occur within the DC range to be around 30% of the total Moller events occuring for the number of incident electrons for LH2 as well. Since the differential cross-section over the angel theta is proportional to the differtial cross-section over wire number we can dividing the Moller differential cross-section by the product of the density and length of the target material

If we were to integrate the Moller Differential Cross Section