Comparison of GEANT Simulation to Whitney Data: Difference between revisions
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| Length of Target (cm) || 1 || 1 || 5 ||5 ||5 | | Length of Target (cm) || 1 || 1 || 5 ||5 ||5 | ||
|- | |- | ||
| <math>N_{incident}</math> || 4E7 ||4E8 || 6E6 ||6E7 || 6E7 | | <math>N_{incident}(Total)</math> || 4E7 ||4E8 || 6E6 ||6E7 || 6E7 | ||
|- | |- | ||
| <math>N_{events}</math> || 1026940 || 10270829|| 771161 ||4826141 || 1001700 | | <math>N_{events}(Total)</math> || 1026940 || 10270829|| 771161 ||4826141 || 1001700 | ||
|- | |- | ||
| <math>N_{events}(5^{\circ}-40^{\circ})</math> || || || 229266|| || | | <math>N_{events}(5^{\circ}-40^{\circ})</math> || || || 229266|| || | ||
|- | |- | ||
| <math>N_{Moller}</math> || 975593 || 9757288|| 732603||4584834 || 951138 | | <math>N_{Moller}(Total)</math> || 975593 || 9757288|| 732603||4584834 || 951138 | ||
|- | |- | ||
| <math>N_{Moller}(5^{\circ}-40^{\circ})</math> || || || 217803|| 1362098|| | | <math>N_{Moller}(5^{\circ}-40^{\circ})</math> || || || 217803|| 1362098|| | ||
|- | |- | ||
| <math>t_{simulated}</math> (s) || 1.3E-5 ||1.3E-4 || 9.57E-6||9.62E-5 ||9.54E-5 | | <math>t_{simulated}(Total)</math> (s) || 1.3E-5 ||1.3E-4 || 9.57E-6||9.62E-5 ||9.54E-5 | ||
|- | |- | ||
| Event Cross-Section (b) || 0.61 || 0.61|| 0.61 ||0.38 || 0.079 | | 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 | | Total Moller Cross-Section (b) || 0.58||0.58 || 0.58 ||0.361 || 0.075 | ||
|- | |- | ||
| Individual Moller Cross-Section (b) || 5.95E-7 || 5.94E-8 || 7.92E-7||7.87E-8 ||7.88E-8 | | Total Individual Moller Cross-Section (b) || 5.95E-7 || 5.94E-8 || 7.92E-7||7.87E-8 ||7.88E-8 | ||
|- | |- | ||
| Moller event rate per barn (<math>b^{-1}</math>)|| 1.68E6 || 1.68E6 || 1.26E6 ||1.27E7 || 1.27E7 | | Total Moller event rate per barn (<math>b^{-1}</math>)|| 1.68E6 || 1.68E6 || 1.26E6 ||1.27E7 || 1.27E7 | ||
|} | |} | ||
Revision as of 18:28, 29 March 2018
[math]\displaystyle{ \vartriangleleft }[/math] [math]\displaystyle{ \triangle }[/math] [math]\displaystyle{ \vartriangleright }[/math]
| 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] | 229266 | ||||
| [math]\displaystyle{ N_{Moller}(Total) }[/math] | 975593 | 9757288 | 732603 | 4584834 | 951138 |
| [math]\displaystyle{ N_{Moller}(5^{\circ}-40^{\circ}) }[/math] | 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 |
| Total Individual Moller Cross-Section (b) | 5.95E-7 | 5.94E-8 | 7.92E-7 | 7.87E-8 | 7.88E-8 |
| Total Moller event rate per barn ([math]\displaystyle{ b^{-1} }[/math]) | 1.68E6 | 1.68E6 | 1.26E6 | 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
