VanWasshenova Thesis
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Contents
1
Introduction
2
Moller Scattering
2.1
Moller Scattering Definition
2.1.1
Variables_Used_in_Elastic_Scattering
2.1.2
DV_Calculations_of_4-momentum_components
2.2
Moller Differential Cross-Section
3
GEANT4 Simulation of Moller Scattering
3.1
LH2 Target
3.1.1
Simulation Setup
3.2
NH2 Target
3.3
LH2 Vs. NH3
3.4
Effects Due to Target Material
3.4.1
Target Density
3.4.2
Atomic Mass and Electron Number Effects
3.5
Differential Cross-Section Offset
4
Weighted Isotropic Distribution in Lab Frame
5
GEMC Simulation
5.1
Drift Chamber
5.1.1
Determining wire-theta correspondence
5.1.1.1
CED Verification of DC Angle Theta and Wire Correspondance
5.1.1.2
DC Super Layer 1:Layer 1
5.1.2
DC Binning Based On Wire Numbers
5.1.3
Detector_Geometry Simulation
5.1.3.1
Conic Sections
5.1.3.1.1
Circular Cross Sections
5.1.3.1.2
Elliptical Cross Sections
5.1.3.2
Determing Elliptical Components
5.1.3.3
Determing Elliptical Equations
5.1.3.3.1
Test for Theta at 20 degrees and Phi at 0
5.1.3.4
In the Detector Plane
5.1.3.4.1
Test in Plane for Theta at 20 degrees and Phi at 0
5.1.3.4.2
Test in Plane for Theta at 20 degrees and Phi at 1 degree
5.1.4
Function for change in x', Lab frame
5.1.5
Wire Number Function
5.1.6
Mathematica Simulation
5.1.6.1
In the Detector Frame
5.1.6.2
In the wire frame
5.1.6.2.1
Points of Intersection
5.1.6.2.2
The Wires
5.1.6.2.3
Right Hand Wall
5.1.6.2.4
Left Hand Wall
5.1.6.2.5
The Ellipse
5.1.6.3
Plotting Different Frames
5.1.6.4
Parameterizing the Ellipse Equation
5.1.6.5
Change in Wire Bin Number
5.1.7
One Hit Per Wire Bin at phi=0
5.1.8
Phi and Theta Limits of wire bins
5.2
Detector Occupancy
5.2.1
Whitney Rates
5.2.2
GEANT Moller Simulations
5.2.3
Comparison of GEANT Simulation to Whitney Data
5.2.4
Isotropic Weighted Moller Distribution in GEMC
Introduction
Moller Scattering
Moller Scattering Definition
Variables_Used_in_Elastic_Scattering
DV_Calculations_of_4-momentum_components
Moller Differential Cross-Section
GEANT4 Simulation of Moller Scattering
LH2 Target
Simulation Setup
NH2 Target
LH2 Vs. NH3
Effects Due to Target Material
Target Density
Atomic Mass and Electron Number Effects
Differential Cross-Section Offset
Weighted Isotropic Distribution in Lab Frame
GEMC Simulation
Drift Chamber
Determining wire-theta correspondence
CED Verification of DC Angle Theta and Wire Correspondance
DC Super Layer 1:Layer 1
DC Binning Based On Wire Numbers
Detector_Geometry Simulation
Conic Sections
Circular Cross Sections
Elliptical Cross Sections
Determing Elliptical Components
Determing Elliptical Equations
Test for Theta at 20 degrees and Phi at 0
In the Detector Plane
Test in Plane for Theta at 20 degrees and Phi at 0
Test in Plane for Theta at 20 degrees and Phi at 1 degree
Function for change in x', Lab frame
Wire Number Function
Mathematica Simulation
In the Detector Frame
In the wire frame
Points of Intersection
The Wires
Right Hand Wall
Left Hand Wall
The Ellipse
Plotting Different Frames
Parameterizing the Ellipse Equation
Change in Wire Bin Number
One Hit Per Wire Bin at phi=0
Phi and Theta Limits of wire bins
Detector Occupancy
Whitney Rates
GEANT Moller Simulations
Comparison of GEANT Simulation to Whitney Data
Isotropic Weighted Moller Distribution in GEMC
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