VanWasshenova Thesis

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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

Binning based on wire numbers

The bin size based on wire number will need to be a uniform width of 1, as in an increment of 1 between the integer values of the wires. This uniformity in bin size based on wire numbers is not uniform when viewed by the angle theta due to the Drift Chamber geometry discussed earlier.

Modifying evioreader


Layer1bins.png
Layer1bins Isotropic.png
gStyle->SetStripDecimals(kTRUE);
TF1 *fit_function=new TF1("fit_function","[0]+[1]*x+[2]*x*x+[3]*x*x*x",4.49876,41.12592);
fit_function->SetParameters(4.49876,0.293001,0.000679074,-0.00000357132);
TGaxis *A1 = new TGaxis(0,5000,113,5000,"fit_function",510,"-");
A1->SetTitle("Angle Theta(degrees)");
A1->Draw();


Layer1binWeighted.pngMolThetaLabWeighted.png


Layer1binWeighted Isotropic.pngMolThetaLabWeighted2.png

Using the expression for n in terms of Theta:

[math]n = \frac{-957.412}{\tan{ \theta}+2.14437}+430.626[/math]


This relationship can be used to multiply each Moller Scattering angle theta in the lab frame, with it's differential cross-section weight, to find the Moller differential cross-section as a function of wire number in the lab frame.


MolThetaWireWeighted.pngMolThetaWireWeightedIsotropic.png


MolThetaWireWeightedAdjusted.pngMolThetaWireWeightedAdjustedIsotropic.png


TheoryDCbinsWire.pngTheoryDCbinsWireIsotropic.png

Detector Occupancy