Final CM Frame Scattered Electron 4-momentum components

Final CM Frame Scattered Electron 4-momentum components

Relativistically, the x, y, and z components have the same magnitude, but opposite direction, in the conversion from the Moller electron's Center of Mass frame to the electron's Center of Mass frame.

[math]\displaystyle{ p^*_{2(x)}= -p^*_{1(x)} }[/math]

[math]\displaystyle{ p^*_{2(y)}= -p^*_{1(y)} }[/math]

[math]\displaystyle{ p^*_{2(z)}=-p^*_{1(z)} }[/math]

where previously it was shown

[math]\displaystyle{ |p^*_{1}|\equiv |p^*_{2}| }[/math]

[math]\displaystyle{ E^*_{1}\equiv E^*_{2} }[/math]

[math]\displaystyle{ \theta_{1}^*=\pi-\theta_{1}^* }[/math]