Mlr Summ TF

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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]

The GEANT4 simulation uses an LH2 target. The GEANT4 predicition has been divided by 2 (electron) so it can be compared with the moller scattering theoretical prediction that assumes only one electron.

Theory Frame Moller CM Frame
Figure 4a: 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.
Theory Lab Frame Moller Frame
Figure 4b: 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.

DV hits -vs- Solenoid

With the Torus at zero Magnetic field the solenoid is changes to show how moller electrons move off the fact of R1 DC.

moller electron

Moller events per (112 x 12) wires [Hz]

Photons Hits in R1

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VanWasshenova_Thesis#Mlr_Summ_TF