Comparison of GEANT Simulation to Whitney Data: Difference between revisions

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{| class="wikitable" align="center" border=1
<center><math>\textbf{Navigation}</math></center>
 
<center>
[[Lorentz_Transformation_to_Lab_Frame|<math>\vartriangleleft </math>]]
[[VanWasshenova_Thesis#Weighted_Isotropic_Distribution_in_Lab_Frame|<math>\triangle </math>]]
[[CED_Verification_of_DC_Angle_Theta_and_Wire_Correspondance|<math>\vartriangleright </math>]]
</center>
 
 
{| align=center border=1
|+ '''Rates'''
|+ '''Rates'''
|-
|-
| Simulation || GEANT4(1cm target) ||GEANT4(1cm target)|| GEANT4(5cm target) ||  Whitney
! 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|| ||
|-
|-
| Event Cross-Section (nb) || .61 || || || 0.079
| <math>N_{Moller}(Total)</math> || 975593 || 9757288|| 732603||4584834 || 951138
|-
|-
|Moller Cross-Section (nb) || 0.58||0.58 || || 0.075
| <math>N_{Moller}(5^{\circ}-40^{\circ})</math> ||290291  || 2901376|| 217803|| 1362098||  
|-
|-
| Length of Target (cm) || 1 || 1 ||5 ||5
| <math>t_{simulated}(Total)</math> (s) || 1.3E-5 ||1.3E-4 || 9.57E-6||9.62E-5 ||9.54E-5
|-
|-
| t_{simulated} (s) || 1.3E-5 ||1.3E-4 || ||9.54E-5
| Total Event Cross-Section (b) || 0.61 || 0.61|| 0.61 ||0.38 || 0.079
|-
|-
| N_{events} || 1026940 || || || 1001700
| Total Moller Cross-Section (b) || 0.58||0.58 || 0.58 ||0.361 || 0.075
|-
|-
| N_{Moller} || 975593 || 9757288|| || 951138
| Detector Event Cross-Section (b) || 0.18 || 0.18|| 0.18 || ||  
|-
|-
| N_{incident} || 4E7 ||4E8 || || 6E7
| Detector Moller Cross-Section (b) ||0.17 ||0.17 ||0.17  || ||  
|}
|}




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

[math]\displaystyle{ \vartriangleleft }[/math] [math]\displaystyle{ \triangle }[/math] [math]\displaystyle{ \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]\displaystyle{ N_{incident}(Total) }[/math] 4E7 4E8 6E6 6E7 6E7
[math]\displaystyle{ N_{events}(Total) }[/math] 1026940 10270829 771161 4826141 1001700
[math]\displaystyle{ N_{events}(5^{\circ}-40^{\circ}) }[/math] 305570 3054080 229266
[math]\displaystyle{ N_{Moller}(Total) }[/math] 975593 9757288 732603 4584834 951138
[math]\displaystyle{ N_{Moller}(5^{\circ}-40^{\circ}) }[/math] 290291 2901376 217803 1362098
[math]\displaystyle{ 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


If we were to integrate the Moller Differential Cross Section

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