Difference between revisions of "Comparison of GEANT Simulation to Whitney Data"

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Line 17: Line 17:
 
| <math>N_{incident}</math> || 4E7 ||4E8 || 6E6 ||6E7 || 6E7
 
| <math>N_{incident}</math> || 4E7 ||4E8 || 6E6 ||6E7 || 6E7
 
|-
 
|-
| N_{events} || 1026940 || 10270829|| ||4826141 || 1001700
+
| <math>N_{events}</math> || 1026940 || 10270829|| ||4826141 || 1001700
 
|-
 
|-
| N_{Moller} || 975593 || 9757288|| ||4584834 || 951138
+
| <math>N_{Moller}</math> || 975593 || 9757288|| ||4584834 || 951138
 
|-
 
|-
| t_{simulated} (s) || 1.3E-5 ||1.3E-4 || ||9.62E-5 ||9.54E-5
+
| <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
 
| Event Cross-Section (b) || 0.61 || 0.61|| ||0.38 || 0.079
Line 29: Line 29:
 
| Individual Moller Cross-Section (b) || 5.95E-7 || 5.94E-8 || ||7.87E-8 ||7.88E-8
 
| Individual Moller Cross-Section (b) || 5.95E-7 || 5.94E-8 || ||7.87E-8 ||7.88E-8
 
|-
 
|-
| Moller event rate per barn b^{-1})|| 1.68E6 || 1.68E6 || ||1.27E7 || 1.27E7
+
| Moller event rate per barn (<math>b^{-1}</math>)|| 1.68E6 || 1.68E6 || ||1.27E7 || 1.27E7
 
|}
 
|}
  

Revision as of 21:47, 28 March 2018

[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