Final CM Frame Scattered Electron 4-momentum components: Difference between revisions
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<center><math>\textbf{\underline{Navigation}}</math> | |||
[[Limits_based_on_Mandelstam_Variables|<math>\vartriangleleft </math>]] | |||
[[VanWasshenova_Thesis#Final_Lab_Frame_Moller_Electron_4-momentum_components|<math>\triangle </math>]] | |||
[[Special_Case_of_Equal_Mass_Particles|<math>\vartriangleright </math>]] | |||
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=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. | 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. | ||
Revision as of 22:17, 15 June 2017
[math]\displaystyle{ \vartriangleleft }[/math] [math]\displaystyle{ \triangle }[/math] [math]\displaystyle{ \vartriangleright }[/math]
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] |