Electron Initial Lab Frame
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Moller electron Initial Lab Frame
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Moller electron Final Lab Frame
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Moller electron Center of Mass Frame
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Electron Center of Mass Frame
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Electron Final Lab Frame
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[math]p_{1}\equiv 11000 MeV[/math]
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[math]p_{2}\equiv 0[/math]
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[math]p_{2}'\equiv INPUT[/math]
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[math]p_{2}^*=\sqrt{E_{2}^{*2}-m^2}[/math]
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[math]p_{1}^*=\sqrt{E_{2}^{*2}-m^2}[/math]
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[math]p_{1}'=\sqrt{E_{1}^{'\ 2}-m^2}[/math]
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[math]\theta_{1}\equiv 0[/math]
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[math]\theta_{2}\equiv 0[/math]
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[math]\theta_{2}'\equiv INPUT[/math]
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[math]\theta_{2}^*=\arccos \left(\frac{p_{2(z)}^*}{p_2^*} \right)[/math]
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[math]\theta_{1}^*=\pi-\theta_{2}^*[/math]
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[math]\theta_{1}'= \arccos \left(\frac{p_{1(z)}'}{p_{1}'} \right)[/math]
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[math]E_{1}=\sqrt{p_1^2+m^2}[/math]
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[math]E_{2}\equiv m[/math]
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[math]E_{2}'=\sqrt{p_{2}^{'\ 2}+m^2}[/math]
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[math]E_{2}^*=\sqrt{\frac{m(m+E_1)}{2}}[/math]
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[math]E_{1}^*=\sqrt{\frac{m(m+E_1)}{2}}[/math]
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[math]E_{1}'\equiv E'-E_{2}'[/math]
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[math]p_{1(x)}\equiv 0[/math]
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[math]p_{2(x)}\equiv 0[/math]
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[math]p_{2(x)}'=\sqrt{p_{2}^{'\ 2}-p_{2(z)}^{'\ 2}} cos(\phi '_2)[/math]
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[math]p_{2(x)}^*\equiv p_{2(x)}'[/math]
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[math]p_{1(x)}^*\equiv-p_{2(x)}^*[/math]
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[math]p_{1(x)}'\equiv p_{1(x)}^*[/math]
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[math]p_{1(y)}\equiv 0[/math]
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[math]p_{2(y)}\equiv 0[/math]
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[math]p_{2(y)}'=\sqrt{p_{2}^{'\ 2}-p_{2(x)}^{'\ 2}-p_{2(z)}^{'\ 2}}[/math]
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[math]p_{2(y)}^*\equiv p_{2(y)}'[/math]
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[math]p_{1(y)}^*\equiv -p_{2(y)}^*[/math]
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[math]p_{1(y)}'\equiv p_{2(y)}^*[/math]
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[math]p_{1(z)}\equiv p_1[/math]
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[math]p_{2(z)}\equiv 0[/math]
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[math]p_{2(z)}'\equiv p_{2}'\ cos(\theta'_2)[/math]
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[math]p_{2(z)}^*=-\sqrt{p_{2}^{*\ 2}-p_{2(x)}^{*\ 2}-p_{2(y)}^{*\ 2}}[/math]
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[math]p_{1(z)}^*\equiv -p_{2(z)}^*[/math]
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[math]p_{1(z)}'=\sqrt{p_{1}^{'\ 2}-p_{(1(x)}^{'\ 2}-p_{1(y)}^{'\ 2}}[/math]
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