Phi angle in CM frame for different runs

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EC_total, [math]\displaystyle{ cos\theta_{pion}^{CM} }[/math] vs [math]\displaystyle{ \phi_{diff}^{CM} }[/math], missing mass, [math]\displaystyle{ \theta_{e} }[/math] vs [math]\displaystyle{ \phi_{e} }[/math]

Electron Momentum vs EC_total


Missing Mass

[math]\displaystyle{ \theta_{e}^{LAB} }[/math] vs [math]\displaystyle{ \phi_{e}^{LAB} }[/math]



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[math]\displaystyle{ \varphi^{LAB} }[/math]

The angle is (0, 360).


electron sector [math]\displaystyle{ \varphi_{e}^{LAB} }[/math] [math]\displaystyle{ \varphi_{pion}^{LAB} }[/math] [math]\displaystyle{ \varphi_{e}^{LAB} - \varphi_{pion}^{LAB} }[/math] after correction
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[math]\displaystyle{ \varphi^{CM} }[/math]

The angle is (0, 360).

[math]\displaystyle{ cos\theta_{pion}^{CM} }[/math] vs [math]\displaystyle{ \phi_{diff}^{CM} }[/math] [math]\displaystyle{ W }[/math] vs [math]\displaystyle{ \phi_{diff}^{CM} }[/math] [math]\displaystyle{ Q^2 }[/math] vs [math]\displaystyle{ \phi_{diff}^{CM} }[/math]



Same table as above but with the cut 1.0 < W < 1.5

[math]\displaystyle{ cos\theta_{pion}^{CM} }[/math] vs [math]\displaystyle{ \phi_{diff}^{CM} }[/math] [math]\displaystyle{ W }[/math] vs [math]\displaystyle{ \phi_{diff}^{CM} }[/math] [math]\displaystyle{ Q^2 }[/math] vs [math]\displaystyle{ \phi_{diff}^{CM} }[/math]


Insert the same table as above but with the cuts 1.0 < W < 1.25 GeV 
[math]\displaystyle{ cos\theta_{pion}^{CM} }[/math] vs [math]\displaystyle{ \phi_{diff}^{CM} }[/math] [math]\displaystyle{ W }[/math] vs [math]\displaystyle{ \phi_{diff}^{CM} }[/math] [math]\displaystyle{ Q^2 }[/math] vs [math]\displaystyle{ \phi_{diff}^{CM} }[/math]


Same table as above but with the cuts 1.0 < W < 1.5 GeV and -0.2 < [math]\displaystyle{ cos\theta_{pion}^{CM} }[/math] < 0

[math]\displaystyle{ cos\theta_{pion}^{CM} }[/math] vs [math]\displaystyle{ \phi_{diff}^{CM} }[/math] [math]\displaystyle{ W }[/math] vs [math]\displaystyle{ \phi_{diff}^{CM} }[/math] [math]\displaystyle{ Q^2 }[/math] vs [math]\displaystyle{ \phi_{diff}^{CM} }[/math]



I have applied the cut only on [math]\displaystyle{ cos\theta_{pion}^{CM} }[/math]: 0.4 < [math]\displaystyle{ cos\theta_{pion}^{CM} }[/math] < 0.6.(I know it does not look as good as it should be.)




electron sector [math]\displaystyle{ \varphi_{e}^{CM} }[/math] [math]\displaystyle{ \varphi_{pion}^{CM} }[/math]
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