Mlr Summ TF

VanWasshenova_Thesis#Mlr_Summ_TF

Moller Summary

Scattering Xsect

https://wiki.iac.isu.edu/index.php/Converting_to_barns

[math]\frac{d\sigma}{d\Omega}=\frac{ e^4 }{8E^2}\left \{\frac{1+cos^4\frac{\theta}{2}}{sin^4\frac{\theta}{2}}+\frac{1+sin^4\frac{\theta}{2}}{cos^4\frac{\theta}{2}}+\frac{2}{sin^2\frac{\theta}{2}cos^2\frac{\theta}{2}} \right \}[/math]

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.

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

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 events using an lH2 target geometry No Raster

DC hits -vs- Solenoid

With the Torus at zero Magnetic field the solenoid is changed to show how Moller electrons move off the faces of R1 DC.

With Magnet Components

Figure 2: With the Torus strength at zero Telsa, the solenoid is varied to show the Moller electrons moving off the faces of R1 in the Drift Chamber.

Without Magnet Components

With Only S1R1 DC

What are the particles in the R1S1 only plot and where are they from

Moller Electron Events(1st hits)

Photons Hits in R1

Tomography

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 ?

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VanWasshenova_Thesis#Mlr_Summ_TF