Difference between revisions of "Mlr Summ TF"
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==Scattering Xsect== | ==Scattering Xsect== | ||
− | |||
− | + | As derived earlier, in the [[Differential_Cross-Section]] section | |
+ | In the Ultra-relativistic limit as <math> E \approx p</math> | ||
− | |||
+ | <center><math>\frac{d\sigma}{d\Omega}=\frac{\alpha ^2}{4E^{*2}\sin^4{\theta}}\left( \cos^4{\theta}+6\cos^2{\theta}+9\right)=\frac{\alpha ^2\left(3+\cos^2{\theta}\right)^2}{4E^{*2}\sin^4{\theta}} </math></center> | ||
Line 19: | Line 19: | ||
− | |||
− | [[File:MolThetaCM_Theory.png |thumb | border | center |500 px |alt=Theory Frame Moller CM Frame |'''Figure 3a:''' A plot of the number of Moller scattering angle theta in the center of mass frame versus the theoretical differential cross section. The width of the bins is 0.001 degrees for the angles in the center of mass frame corresponding to angles of 5 to 40 degrees in the lab frame. A weight has been assigned for each value in theta which will give the theoretical differential cross section when applied.]][[File:MolThetaLab_Theory.png |thumb | border | center |500 px |alt=Theory Lab Frame Moller Frame |'''Figure 3b:''' A plot of the number of Moller scattering angle theta in the lab frame versus the theoretical differential cross section. The width of the bins is 0.5 degrees for the angles in the lab frame. A weight has been assigned for each value in theta which will give the theoretical differential cross section when applied.]] | + | {|style="margin: 0 auto;" |
+ | | [[File:MolThetaCM_Theory.png |thumb | border | center |500 px |alt=Theory Frame Moller CM Frame |'''Figure 3a:''' A plot of the number of Moller scattering angle theta in the center of mass frame versus the theoretical differential cross section. The width of the bins is 0.001 degrees for the angles in the center of mass frame corresponding to angles of 5 to 40 degrees in the lab frame. A weight has been assigned for each value in theta which will give the theoretical differential cross section when applied.]] | ||
+ | | [[File:MolThetaLab_Theory.png |thumb | border | center |500 px |alt=Theory Lab Frame Moller Frame |'''Figure 3b:''' A plot of the number of Moller scattering angle theta in the lab frame versus the theoretical differential cross section. The width of the bins is 0.5 degrees for the angles in the lab frame. A weight has been assigned for each value in theta which will give the theoretical differential cross section when applied.]] | ||
+ | |} | ||
+ | |||
+ | |||
+ | Weight the E-vs-Theta plot with Xsect | ||
+ | |||
+ | [[File:MollerEThetaSigma_Full.png|frame|center|alt=Moller Electron Energy vs Angle Theta in Lab Frame|'''Figure 2:''' Using the theoretical differential cross section, the distribution of Moller electrons for a CM energy of approximately 53Mev can be distributed through the CM scattering angle Theta. Using Lorentz transformations, these distributions can be transformed to the lab frame. At around 60 degrees in the lab the Moller electron has an energy of close to 1 MeV. Such a low energy does not allow the Moller electron to leave the constrains of the target where they are created.]] | ||
+ | |||
+ | Moller electron radius -vs- Momentum (Full solenoid and relativistic) | ||
== Baseline== | == Baseline== | ||
== Moller events using an lH2 target geometry No Raster== | == Moller events using an lH2 target geometry No Raster== | ||
− | DC | + | ===DC hits -vs- Solenoid === |
+ | |||
+ | |||
+ | |||
+ | Starting the clas12 Moller simulation with a simple configuration, most components downstream with respect to the drift chambers are taken out of the gcard file. The remaining components, the Drift Chamber (DC), the Solenoid, and the Magnetic Components (CAD) are all that remain as shown below. The Torus field is held at zero Tesla, and the Solenoid field strength is increased from 0 to it's max of 5T. | ||
+ | |||
+ | |||
− | + | [[File:ChangingRates_S1_PhiThetaHits_Full.png||200 px|frame|center|alt=Moller Electron Energy vs Angle Theta in Lab Frame|'''Figure 2:''' With the Torus strength at zero Telsa, the solenoid is varied to show the hits within the DC moving off the faces of R1. These hits consist of primary Moller electrons, as well as secondary electrons and photons created by the Moller electrons.]] | |
− | |||
− | + | As the Solenoid field strength increases, the Moller electrons are forced to into a helical path of decreasing radius, effectively "rotating" off the DC face. The relative value of the field changes the direction field, which in turn causes slightly more hits to be deposited on one side versus the other. This effect is only noticeable in that the neighboring sectors to S1 were not simulated. | |
− | + | ||
+ | [[File:CompareOppositeFieldsFULL_S1_PhiThetaHits.png|200 px|frame|center|alt=Moller Electron Energy vs Angle Theta in Lab Frame|'''Figure 2:''' The effect of the sign of the solenoid magnetic field is apparent when neighboring sectors are not simulated.]] | ||
+ | |||
+ | |||
+ | |||
+ | However, as the field reaches maximum, there are still particles which are found at higher values of <math>\theta</math> that would have been expected to have remained after the effects of the Solenoid. To understand the causes of this phenomena, the hits on Region 1 can be broken into the most common types of particles that are detected; Primary Moller electrons and secondary electrons and photons caused by the Moller electron. Looking more closely at this particle makeup as the solenoid field is increased, we can see that the ratio of primary electrons to total hits decreases while the ratio of photons to total hits increases. | ||
− | |||
− | |||
+ | [[File:DC_MAG_rates_barPlot.png|600 px|frame|center|alt=Moller Electron Energy vs Angle Theta in Lab Frame|'''Figure 2:''' The rate of primary Moller electron traversing S1R1 decreases as the solenoid field strength is increased.]] | ||
− | |||
− | |||
− | |||
− | |||
====Without Magnet Components==== | ====Without Magnet Components==== | ||
+ | To examine the possibility that scattering is the cause of the noise, the simulation is further simplified by removing the magnetic components stored in the CAD directory. | ||
+ | |||
+ | |||
+ | |||
+ | [[File:ComparingMagnetComponentsFULL_S1_PhiThetaHits.png|600 px|frame|center|alt=Moller Electron Energy vs Angle Theta in Lab Frame|'''Figure 2:''' With the Torus strength at zero Telsa, the solenoid is at full strength and the magnet components in the CAD directory are removed. Due to scattering effects, the rate for 50nA is reduced by a factor of almost 20.]] | ||
+ | |||
+ | |||
+ | |||
+ | |||
+ | |||
+ | |||
+ | |||
+ | |||
+ | |||
+ | |||
+ | To effectively determine the cause of the remaining particles in S1R1 the hit particles' vertex points can be recorded producing a tomography plot. A changing field is still useful in that the lack of number of hits at high solenoid field strength would make determining the physical cause difficult. | ||
+ | |||
+ | =====Photons Hits in R1===== | ||
+ | |||
+ | [[File:Screen_ShotMollerGammaPhiThetaBins.png]] | ||
+ | |||
+ | [[Merging background hits]] | ||
+ | |||
+ | =====Secondary Electron Hits in R1===== | ||
+ | |||
+ | |||
+ | =====Primary Moller Electron Hits in R1===== | ||
+ | |||
+ | |||
+ | [[File:ComponentStudy.png]] | ||
+ | |||
+ | ==CLAS12 Conditions== | ||
+ | |||
+ | Summarize with picture photo rates -vs- change and location of photons | ||
+ | |||
+ | |||
+ | Summarize secondary moller electron rate location | ||
+ | |||
+ | |||
+ | ===[[Determining and Verify Shield Limits]]=== | ||
+ | |||
+ | ===FTOn ShieldIn=== | ||
+ | |||
+ | For the Moller electron, | ||
+ | |||
+ | [[File:FTOn_ShieldIn_S1R1Moller_withTomography.png]] | ||
+ | |||
+ | |||
+ | For the scattered electron, there are no secondary hits. | ||
+ | |||
+ | ===FTOff ShieldIn=== | ||
+ | |||
+ | For secondary hits from the Moller electron | ||
+ | |||
+ | [[File:FTOff_ShieldIn_S1R1Moller_withTomography.png]] | ||
+ | |||
+ | ===FTOn ShieldOut=== | ||
+ | |||
+ | [[File:FTOn_ShieldOut_S1R1Moller_withTomography.png]] | ||
+ | |||
+ | ===FTOff ShieldOut=== | ||
+ | |||
+ | [[File:FTOff_ShieldOut_S1R1Moller_withTomography.png]] | ||
+ | ==New Cone== | ||
+ | |||
+ | |||
+ | ===FTOn=== | ||
+ | From beamline text file | ||
+ | <pre> | ||
+ | 1589.27-238.8=1350.47 | ||
+ | </pre> | ||
+ | |||
+ | <pre> | ||
+ | PbCylinder | root | Pb pipe on beamline | 0*mm 0.0*mm 1350.47*mm | 0 0 0 | 999966 | Cons | 34*mm 36*mm 111.2*mm 113.2*mm 441.3*mm 0.0*deg 360*deg | beamline_w | no | 1 | 1 | 1 | 1 | 1 | no | no | no | ||
+ | </pre> | ||
+ | |||
+ | '''At Standard Vertex Position:''' | ||
+ | |||
+ | |||
+ | High Cone Position: | ||
+ | |||
+ | <math>1350.47+441.3=1791.77\ mm</math> | ||
+ | |||
+ | <math>\theta_{high}=\arctan \left( \frac{113.2}{1791.77} \right)=3.61^{\circ}</math> | ||
+ | |||
+ | |||
+ | Low Cone Position: | ||
− | + | <math>1350.47-441.3=909.17\ mm</math> | |
+ | <math>\theta_{low}=\arctan \left( \frac{113.2}{909.17} \right)=2.39^{\circ}</math> | ||
− | [[ | + | ====[[standard_R1_36_38_R2_111_113]]==== |
− | + | '''At forward Vertex Position:''' ''(subtract 40mm from standard vertex distance)'' | |
− | + | High Cone Position: | |
− | + | <math>1791.77-40=1751.77\ mm</math> | |
− | = | + | <math>\theta_{high}=\arctan \left( \frac{113.2}{1751.77} \right)=3.69^{\circ}</math> |
− | |||
− | + | Low Cone Position: | |
− | |||
+ | <math>909.17-40=869.17\ mm</math> | ||
+ | <math>\theta_{low}=\arctan \left( \frac{113.2}{869.17} \right)=2.5^{\circ}</math> | ||
− | + | <math>\rightarrow \theta_{high}=5^{\circ} \rightarrow 1751.77 \arctan 5^{\circ} = 153.26\ mm </math> | |
− | + | <math>\rightarrow \theta_{low}=5^{\circ} \rightarrow 869.17 \arctan 5^{\circ} = 76.04\ mm </math> | |
+ | ====[[standard_R1_74_76_R2_151_153]]==== | ||
− | [[File: | + | |
+ | ====Summary Tables==== | ||
+ | {| class="wikitable" | ||
+ | |+ FTOn from 0,0,0 Vertex | ||
+ | ! 50nA | ||
+ | ! S1R1 2ndryMoller e- rate | ||
+ | ! S1R1 2ndryMoller gamma rate | ||
+ | ! S1R1 2ndryMoller particle rate | ||
+ | ! Effective Shield Rate | ||
+ | |- | ||
+ | ! R1_36_38_R2_36_38 | ||
+ | | 111 Hz | ||
+ | | 10652 Hz | ||
+ | | 37 Hz | ||
+ | | ? | ||
+ | |- | ||
+ | ! R1_36_38_R2_50_54 | ||
+ | | 108 Hz | ||
+ | | 10668 Hz | ||
+ | | 31 Hz | ||
+ | | ? | ||
+ | |- | ||
+ | ! R1_36_38_R2_70_72 | ||
+ | | 109 Hz | ||
+ | | 11053 Hz | ||
+ | | 45 Hz | ||
+ | | ? | ||
+ | |- | ||
+ | ! R1_36_38_R2_75_77 | ||
+ | | Hz | ||
+ | | Hz | ||
+ | | Hz | ||
+ | | ? | ||
+ | |- | ||
+ | ! R1_36_38_R2_80_82 | ||
+ | | Hz | ||
+ | | Hz | ||
+ | | Hz | ||
+ | | ? | ||
+ | |- | ||
+ | ! R1_36_38_R2_90_92 | ||
+ | | Hz | ||
+ | | Hz | ||
+ | | Hz | ||
+ | | ? | ||
+ | |- | ||
+ | ! R1_36_38_R2_95_97 | ||
+ | | Hz | ||
+ | | Hz | ||
+ | | Hz | ||
+ | | ? | ||
+ | |- | ||
+ | ! R1_36_38_R2_100_102 | ||
+ | | Hz | ||
+ | | Hz | ||
+ | | Hz | ||
+ | | ? | ||
+ | |- | ||
+ | ! R1_36_38_R2_111_113 | ||
+ | | Hz | ||
+ | | Hz | ||
+ | | Hz | ||
+ | | ? | ||
+ | |- | ||
+ | ! R1_36_38_R2_116_118 | ||
+ | | Hz | ||
+ | | Hz | ||
+ | | Hz | ||
+ | | ? | ||
+ | |- | ||
+ | ! R1_36_38_R2_121_123 | ||
+ | | Hz | ||
+ | | Hz | ||
+ | | Hz | ||
+ | | ? | ||
+ | |- | ||
+ | ! R1_74_76_R2_151_153 | ||
+ | | Hz | ||
+ | | Hz | ||
+ | | Hz | ||
+ | | ? | ||
+ | |- | ||
+ | ! R1_36_38_R2_500_503 | ||
+ | | 150 Hz | ||
+ | | 12097 Hz | ||
+ | | 46 Hz | ||
+ | | ? | ||
+ | |} | ||
+ | |||
+ | {| class="wikitable" | ||
+ | |+ FTOn from (0,0,0) Vertex w/o FT | ||
+ | ! 50nA | ||
+ | ! S1R1 2ndryMoller e- rate | ||
+ | ! S1R1 2ndryMoller gamma rate | ||
+ | ! S1R1 2ndryMoller particle rate | ||
+ | ! Effective Shield Rate | ||
+ | |- | ||
+ | ! R1_0_524.0_R2_0_1034.47 | ||
+ | | ? | ||
+ | | ? | ||
+ | | ? | ||
+ | | ? | ||
+ | |||
+ | |} | ||
+ | |||
+ | ==Moller Electrons below 5 degrees== | ||
+ | [[File:ReallyFullMolThetaMomLabWeighted.png | 300 px]] | ||
+ | |||
+ | [[CLAS12_MollerDataTable_12-16-2018]] | ||
== Moller events using an dual polarized target geometry with Raster== | == Moller events using an dual polarized target geometry with Raster== | ||
Line 96: | Line 307: | ||
=Latest Stuff= | =Latest Stuff= | ||
+ | |||
+ | [[File:UnweightedOccupancy_need_to_fix.png]] | ||
[[VanWasshenova_Thesis#Mlr_Summ_TF]] | [[VanWasshenova_Thesis#Mlr_Summ_TF]] | ||
+ | |||
+ | = References= | ||
+ | |||
+ | [https://misportal.jlab.org/mis/physics/clas12/viewFile.cfm/2016-006.pdf?documentId=32 CLASNOTE 2016-06 Moller shield simulations: comparison of the GEMC-optimized layout and the engineering design] |
Latest revision as of 03:09, 11 April 2019
VanWasshenova_Thesis#Mlr_Summ_TF
Moller Summary
Scattering Xsect
As derived earlier, in the Differential_Cross-Section section
In the Ultra-relativistic limit as
Weight the E-vs-Theta plot with Xsect
![Moller Electron Energy vs Angle Theta in Lab Frame](/./images/b/be/MollerEThetaSigma_Full.png)
Moller electron radius -vs- Momentum (Full solenoid and relativistic)
Baseline
Moller events using an lH2 target geometry No Raster
DC hits -vs- Solenoid
Starting the clas12 Moller simulation with a simple configuration, most components downstream with respect to the drift chambers are taken out of the gcard file. The remaining components, the Drift Chamber (DC), the Solenoid, and the Magnetic Components (CAD) are all that remain as shown below. The Torus field is held at zero Tesla, and the Solenoid field strength is increased from 0 to it's max of 5T.
As the Solenoid field strength increases, the Moller electrons are forced to into a helical path of decreasing radius, effectively "rotating" off the DC face. The relative value of the field changes the direction field, which in turn causes slightly more hits to be deposited on one side versus the other. This effect is only noticeable in that the neighboring sectors to S1 were not simulated.
However, as the field reaches maximum, there are still particles which are found at higher values of
that would have been expected to have remained after the effects of the Solenoid. To understand the causes of this phenomena, the hits on Region 1 can be broken into the most common types of particles that are detected; Primary Moller electrons and secondary electrons and photons caused by the Moller electron. Looking more closely at this particle makeup as the solenoid field is increased, we can see that the ratio of primary electrons to total hits decreases while the ratio of photons to total hits increases.
Without Magnet Components
To examine the possibility that scattering is the cause of the noise, the simulation is further simplified by removing the magnetic components stored in the CAD directory.
To effectively determine the cause of the remaining particles in S1R1 the hit particles' vertex points can be recorded producing a tomography plot. A changing field is still useful in that the lack of number of hits at high solenoid field strength would make determining the physical cause difficult.
Photons Hits in R1
Secondary Electron Hits in R1
Primary Moller Electron Hits in R1
CLAS12 Conditions
Summarize with picture photo rates -vs- change and location of photons
Summarize secondary moller electron rate location
Determining and Verify Shield Limits
FTOn ShieldIn
For the Moller electron,
For the scattered electron, there are no secondary hits.
FTOff ShieldIn
For secondary hits from the Moller electron
FTOn ShieldOut
FTOff ShieldOut
New Cone
FTOn
From beamline text file
1589.27-238.8=1350.47
PbCylinder | root | Pb pipe on beamline | 0*mm 0.0*mm 1350.47*mm | 0 0 0 | 999966 | Cons | 34*mm 36*mm 111.2*mm 113.2*mm 441.3*mm 0.0*deg 360*deg | beamline_w | no | 1 | 1 | 1 | 1 | 1 | no | no | no
At Standard Vertex Position:
High Cone Position:
Low Cone Position:
standard_R1_36_38_R2_111_113
At forward Vertex Position: (subtract 40mm from standard vertex distance)
High Cone Position:
Low Cone Position:
standard_R1_74_76_R2_151_153
Summary Tables
50nA | S1R1 2ndryMoller e- rate | S1R1 2ndryMoller gamma rate | S1R1 2ndryMoller particle rate | Effective Shield Rate |
---|---|---|---|---|
R1_36_38_R2_36_38 | 111 Hz | 10652 Hz | 37 Hz | ? |
R1_36_38_R2_50_54 | 108 Hz | 10668 Hz | 31 Hz | ? |
R1_36_38_R2_70_72 | 109 Hz | 11053 Hz | 45 Hz | ? |
R1_36_38_R2_75_77 | Hz | Hz | Hz | ? |
R1_36_38_R2_80_82 | Hz | Hz | Hz | ? |
R1_36_38_R2_90_92 | Hz | Hz | Hz | ? |
R1_36_38_R2_95_97 | Hz | Hz | Hz | ? |
R1_36_38_R2_100_102 | Hz | Hz | Hz | ? |
R1_36_38_R2_111_113 | Hz | Hz | Hz | ? |
R1_36_38_R2_116_118 | Hz | Hz | Hz | ? |
R1_36_38_R2_121_123 | Hz | Hz | Hz | ? |
R1_74_76_R2_151_153 | Hz | Hz | Hz | ? |
R1_36_38_R2_500_503 | 150 Hz | 12097 Hz | 46 Hz | ? |
50nA | S1R1 2ndryMoller e- rate | S1R1 2ndryMoller gamma rate | S1R1 2ndryMoller particle rate | Effective Shield Rate |
---|---|---|---|---|
R1_0_524.0_R2_0_1034.47 | ? | ? | ? | ? |
Moller Electrons below 5 degrees
CLAS12_MollerDataTable_12-16-2018
Moller events using an dual polarized target geometry with Raster
Photon Hits in R1 when Raster size has radius of 0.2 cm
Moller rate -vs- length of a single taerget
0.5 cm radius -vs- Z
Target is a one 0.5 cm radius cylinder of length Z.
By how much does the moller rate change at full field ?
Latest Stuff
VanWasshenova_Thesis#Mlr_Summ_TF