Effects Due to Target Length - Revision history

Vanwdani at 19:43, 30 August 2018

2018-08-30T19:43:02Z

Vanwdani at 16:29, 30 August 2018

2018-08-30T16:29:29Z

Vanwdani at 04:40, 28 August 2018

2018-08-28T04:40:29Z

Vanwdani at 16:09, 4 April 2018

2018-04-04T16:09:28Z

Vanwdani: Created page with "As the target material length is increased, the amount of multiple scattering increases. Since the majority of particles created in the CM frame are at large angles, this imp..."

2018-04-04T15:28:13Z

Created page with "As the target material length is increased, the amount of multiple scattering increases. Since the majority of particles created in the CM frame are at large angles, this imp..."

New page

As the target material length is increased, the amount of multiple scattering increases. Since the majority of particles created in the CM frame are at large angles, this implies

[[File:CompareTargetLength.png]]

← Older revision		Revision as of 19:43, 30 August 2018
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	[[File:CompareTargetLength.png]][[File:MolThetaLabTargetLength.png\|frame\|center\|alt=Moller Electron Angle Theta in Lab Frame\|'''Figure 1:''' GEANT4 Simulation for the Moller electron scattering angle theta distribution for 6E6 incident 11 GeV electrons in the Lab frame of reference. The LH2 target reduces the mean free path of the Moller electron to around 60 degrees in the lab frame. This property of limiting the Moller angle is independent of the target length.]]		[[File:CompareTargetLength.png]][[File:MolThetaLabTargetLength.png\|frame\|center\|alt=Moller Electron Angle Theta in Lab Frame\|'''Figure 1:''' GEANT4 Simulation for the Moller electron scattering angle theta distribution for 6E6 incident 11 GeV electrons in the Lab frame of reference. The LH2 target reduces the mean free path of the Moller electron to around 60 degrees in the lab frame. This property of limiting the Moller angle is independent of the target length.]]
		+
		+	[[File:LowerMollerLUND.png]]
		+
		+
		+	[[File:TotalS1R1HitsRate_LowerMoller_DCMagnets.png \|thumb \| border \| center \|500 px \|alt=Lower Angle Theta Moller Electron Scattering in DC \|'''Figure 4a:''' A plot of the number of Moller scattering angle theta in the lab frame versus the scattering angle phi. The width of the Theta bins is 0.1 degrees in the lab frame within the range of 0 to 6 degrees. Similarly, the width of the Phi bins in 0.2 degrees in the lab frame within the range of -30 to 30 degrees. Only electrons that would have fallen within the range allowed by the DC endplates have been included. Only the DC is simulated with endplates of Tungsten steel. ]][[File:Clas12_woTarg_LowerMoller.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 scattering angle phi. The width of the Theta bins is 0.1 degrees in the lab frame within the range of 0 to 6 degrees. Similarly, the width of the Phi bins in 0.2 degrees in the lab frame within the range of -30 to 30 degrees. Only electrons that would have fallen within the range allowed by the DC endplates have been included. The clas12 setup is simulated without a target.]]

@@ Line 1: / Line 1: @@
 As the target material length is increased, the amount of multiple scattering increases.  Since the majority of particles created in the CM frame are at large angles, this implies
-[[File:CompareTargetLength.png]][[File:MolThetaLabTargetLength.png]]
+[[File:CompareTargetLength.png]][[File:MolThetaLabTargetLength.png|frame|center|alt=Moller Electron Angle Theta in Lab Frame|'''Figure 1:''' GEANT4 Simulation for the Moller electron scattering angle theta distribution for 6E6 incident 11 GeV electrons in the Lab frame of reference.  The LH2 target reduces the mean free path of the Moller electron to around 60 degrees in the lab frame.  This property of limiting the Moller angle is independent of the target length.]]
 This gives, for LH2 in a 5cm long target:

@@ Line 1: / Line 1: @@
 As the target material length is increased, the amount of multiple scattering increases.  Since the majority of particles created in the CM frame are at large angles, this implies
-[[File:CompareTargetLength.png]]
+[[File:CompareTargetLength.png]][[File:MolThetaLabTargetLength.png]]
 This gives, for LH2 in a 5cm long target:

← Older revision		Revision as of 16:09, 4 April 2018
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	[[File:CompareTargetLength.png]]		[[File:CompareTargetLength.png]]
		+
		+	This gives, for LH2 in a 5cm long target:
		+
		+	<center><math>\rho_{target}\times l_{target}=\frac{70.85 kg}{1 m^3}\times \frac{1 mole}{2.02 g} \times \frac{1000g}{1 kg} \times \frac{6\times10^{23} atoms}{1 mole} \times \frac{1m^3}{(100 cm)^3} \times \frac{5 cm}{ } \times \frac{10^{-24} cm^{2}}{barn} =1.05\times 10^{-1} barns^{-1}</math></center>
		+
		+
		+	Using the number of incident electrons, for 1 Moller electron:
		+
		+	<center><math>\frac{1}{\rho_{target}\times l_{target} \times 6\times 10^6}=1.58\times 10^{-6} barns</math></center>
		+
		+	This gives, for LH2 in a 1cm long target:
		+
		+	<center><math>\rho_{target}\times l_{target}=\frac{70.85 kg}{1 m^3}\times \frac{1 mole}{2.02 g} \times \frac{1000g}{1 kg} \times \frac{6\times10^{23} atoms}{1 mole} \times \frac{1m^3}{(100 cm)^3} \times \frac{1 cm}{ } \times \frac{10^{-24} cm^{2}}{barn} =2.10\times 10^{-2} barns^{-1}</math></center>
		+
		+
		+	Using the number of incident electrons, for 1 Moller electron:
		+
		+	<center><math>\frac{1}{\rho_{target}\times l_{target} \times 6\times 10^6}=7.94\times 10^{-6} barns</math></center>
		+
		+
		+	This gives, for LH2 in a 1mm long target:
		+
		+	<center><math>\rho_{target}\times l_{target}=\frac{70.85 kg}{1 m^3}\times \frac{1 mole}{2.02 g} \times \frac{1000g}{1 kg} \times \frac{6\times10^{23} atoms}{1 mole} \times \frac{1m^3}{(100 cm)^3} \times \frac{0.1 cm}{ } \times \frac{10^{-24} cm^{2}}{barn} =2.10\times 10^{-3} barns^{-1}</math></center>
		+
		+
		+	Using the number of incident electrons, for 1 Moller electron:
		+
		+	<center><math>\frac{1}{\rho_{target}\times l_{target} \times 6\times 10^6}=7.94\times 10^{-5} barns</math></center>