Final CM Frame Scattered Electron 4-momentum components: Difference between revisions

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<center><math>\textbf{\underline{Navigation}}</math>
<center><math>\textbf{\underline{Navigation}}</math>


[[Limits_based_on_Mandelstam_Variables|<math>\vartriangleleft </math>]]
[[Final_CM_Frame_Moller_Electron_4-momentum_components|<math>\vartriangleleft </math>]]
[[VanWasshenova_Thesis#Final_Lab_Frame_Moller_Electron_4-momentum_components|<math>\triangle </math>]]
[[VanWasshenova_Thesis#Final_4-momentum_components|<math>\triangle </math>]]
[[Special_Case_of_Equal_Mass_Particles|<math>\vartriangleright </math>]]
[[Summary_of_4-momentum_components|<math>\vartriangleright </math>]]


</center>
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| style="background: gray"      | <math>\theta_{1}^*=\pi-\theta_{1}^*</math>
| style="background: gray"      | <math>\theta_{1}^*=\pi-\theta_{1}^*</math>
|}
|}
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<center><math>\textbf{\underline{Navigation}}</math>
[[Final_CM_Frame_Moller_Electron_4-momentum_components|<math>\vartriangleleft </math>]]
[[VanWasshenova_Thesis#Final_4-momentum_components|<math>\triangle </math>]]
[[Summary_of_4-momentum_components|<math>\vartriangleright </math>]]
</center>

Latest revision as of 17:45, 16 June 2017

[math]\displaystyle{ \textbf{\underline{Navigation}} }[/math]

[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]




[math]\displaystyle{ \textbf{\underline{Navigation}} }[/math]

[math]\displaystyle{ \vartriangleleft }[/math] [math]\displaystyle{ \triangle }[/math] [math]\displaystyle{ \vartriangleright }[/math]