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

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{| class="wikitable" align="center" border=1
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<center><math>\textbf{Navigation}</math></center>
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<center>
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[[Lorentz_Transformation_to_Lab_Frame|<math>\vartriangleleft </math>]]
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[[VanWasshenova_Thesis#Weighted_Isotropic_Distribution_in_Lab_Frame|<math>\triangle </math>]]
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[[CED_Verification_of_DC_Angle_Theta_and_Wire_Correspondance|<math>\vartriangleright </math>]]
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</center>
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{| align=center border=1
 
|+ '''Rates'''
 
|+ '''Rates'''
 
|-
 
|-
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| Simulation || GEANT4(1cm target) ||GEANT4(1cm target)|| GEANT4(5cm target) ||  Whitney
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! Simulation || GEANT4(1cm target) ||GEANT4(1cm target)|| GEANT4(5cm target) || GEANT4(5cm target) || Whitney
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|-
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| Length of Target (cm) || 1 || 1 || 5 ||5 ||5
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|-
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| <math>N_{incident}(Total)</math> || 4E7 ||4E8 || 6E6 ||6E7 || 6E7
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|-
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| <math>N_{events}(Total)</math> || 1026940 || 10270829|| 771161 ||4826141 || 1001700
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|-
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| <math>N_{events}(5^{\circ}-40^{\circ})</math> || 305570 || 3054080|| 229266|| ||
 
|-
 
|-
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| Event Cross-Section (nb) || .61 || || || 0.079
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| <math>N_{Moller}(Total)</math> || 975593 || 9757288|| 732603||4584834 || 951138
 
|-
 
|-
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|Moller Cross-Section (nb) || 0.58||0.58 || || 0.075
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| <math>N_{Moller}(5^{\circ}-40^{\circ})</math> ||290291  || 2901376|| 217803|| 1362098||  
 
|-
 
|-
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| Length of Target (cm) || 1 || 1 ||5 ||5
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| <math>t_{simulated}(Total)</math> (s) || 1.3E-5 ||1.3E-4 || 9.57E-6||9.62E-5 ||9.54E-5
 
|-
 
|-
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| t_{simulated} (s) || 1.3E-5 ||1.3E-4 || ||9.54E-5
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| Total Event Cross-Section (b) || 0.61 || 0.61|| 0.61 ||0.38 || 0.079
 
|-
 
|-
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| N_{events} || 1026940 || || || 1001700
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| Total Moller Cross-Section (b) || 0.58||0.58 || 0.58 ||0.361 || 0.075
 
|-
 
|-
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| N_{Moller} || 975593 || 9757288|| || 951138
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| Detector Event Cross-Section (b) || 0.18 || 0.18|| 0.18 || ||  
 
|-
 
|-
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| N_{incident} || 4E7 ||4E8 || || 6E7
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| Detector Moller Cross-Section (b) ||0.17 ||0.17 ||0.17  || ||  
 
|}
 
|}
  
  
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Moller events occur for about 2.5% of the incident electrons on a LH2 target.  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
+
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
 +
 
 +
 
 +
[[File:Cross_Section.png]]
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If we were to integrate the Moller Differential Cross Section
 +
 
 +
[[File:6e7incLH2_MolDiffXSect.png]]
 +
 
 +
[[File:Screen_Shot_2018-03-29_at_8.57.34_AM.png]]

Latest revision as of 18:21, 30 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}(Total)[/math] 4E7 4E8 6E6 6E7 6E7
[math]N_{events}(Total)[/math] 1026940 10270829 771161 4826141 1001700
[math]N_{events}(5^{\circ}-40^{\circ})[/math] 305570 3054080 229266
[math]N_{Moller}(Total)[/math] 975593 9757288 732603 4584834 951138
[math]N_{Moller}(5^{\circ}-40^{\circ})[/math] 290291 2901376 217803 1362098
[math]t_{simulated}(Total)[/math] (s) 1.3E-5 1.3E-4 9.57E-6 9.62E-5 9.54E-5
Total Event Cross-Section (b) 0.61 0.61 0.61 0.38 0.079
Total Moller Cross-Section (b) 0.58 0.58 0.58 0.361 0.075
Detector Event Cross-Section (b) 0.18 0.18 0.18
Detector Moller Cross-Section (b) 0.17 0.17 0.17


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


Cross Section.png

If we were to integrate the Moller Differential Cross Section

6e7incLH2 MolDiffXSect.png

Screen Shot 2018-03-29 at 8.57.34 AM.png

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