Phi angle in CM frame for different runs

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]

[1]

Phi lab [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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Phi CM [math]\displaystyle{ \varphi^{CM} }[/math]

The phi angle after rotation and transformation to the CM frame

electron sector	[math]\displaystyle{ \varphi_{e}^{CM} }[/math]	[math]\displaystyle{ \varphi_{pion}^{CM} }[/math]
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Correlation plots with[math]\displaystyle{ cos\theta_{pion}^{CM} , W }[/math] , and [math]\displaystyle{ Q^2 }[/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]

Same table as above but with the cuts 1.0 < W < 1.25 GeV , 20 MeV bins in W and 15 degree bins in [math]\displaystyle{ \phi }[/math]

[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]

Insert the same table as above but with the cuts 1.15 < W < 1.25 GeV and -0.1 < [math]\displaystyle{ cos\theta_{pion}^{CM} }[/math] < 0, 20 MeV bins in W and 15 degree bins in [math]\displaystyle{ \phi }[/math]

[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  W < 1.25 GeV and -0.1 < [math]\displaystyle{ cos\theta_{pion}^{CM} }[/math] < 0, 20 MeV bins in W and 15 degree bins in [math]\displaystyle{ \phi }[/math]

[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]

[2]

Phi_angle_in_CM_Frame for different [math]\displaystyle{ cos\theta_{pion}^{CM} }[/math] cuts

Used 1735 files. The following cuts are applied: [math]\displaystyle{ 0.9<M_x<1.1 }[/math], [math]\displaystyle{ 1.1<W<1.5 }[/math] and EC cuts.

Insert plot of M_x and W to show cuts

Then insert phi -vs- theta

[math]\displaystyle{ 0.8<cos\theta_{pion}^{CM}<1 }[/math]	[math]\displaystyle{ 0.6<cos\theta_{pion}^{CM}<0.8 }[/math]	[math]\displaystyle{ 0.4<cos\theta_{pion}^{CM}<0.6 }[/math]	[math]\displaystyle{ 0.2<cos\theta_{pion}^{CM}<0.4 }[/math]	[math]\displaystyle{ 0<cos\theta_{pion}^{CM}<0.2 }[/math]

[math]\displaystyle{ -0.8>cos\theta_{pion}^{CM}>-1 }[/math]	[math]\displaystyle{ -0.6>cos\theta_{pion}^{CM}>-0.8 }[/math]	[math]\displaystyle{ -0.4>cos\theta_{pion}^{CM}>-0.6 }[/math]	[math]\displaystyle{ -0.2>cos\theta_{pion}^{CM}>-0.4 }[/math]	[math]\displaystyle{ 0>cos\theta_{pion}^{CM}>-0.2 }[/math]

Cuts: EC_inner>0.06, EC_tot/p>0.2, nphe>2.5, [math]\displaystyle{ 0.9<M_x<1.1 }[/math], [math]\displaystyle{ 1.1<W<1.5 }[/math] and [math]\displaystyle{ 0.6<cos\theta_{pion}^{CM}<0.8 }[/math].
[3]

Cuts: EC_inner>0.06, EC_tot/p>0.2, nphe>2.5, [math]\displaystyle{ 0.9<M_x<1.1 }[/math], [math]\displaystyle{ 1.44<W<1.46 }[/math] and [math]\displaystyle{ 0.6<cos\theta_{pion}^{CM}<0.8 }[/math].
[4]

cos_theta_pion_CM_Frame_vs_Phi_angle_in_CM_Frame for different W(missing mass) cuts

1.14<W<1.16	1.16<W<1.18	1.18<W<1.2	1.2<W<1.22	1.22<W<1.24

Phi_angle_in_CM_Frame for 1.44<W<1.46

[math]\displaystyle{ 0.8<cos\theta_{pion}^{CM}<1 }[/math]	[math]\displaystyle{ 0.6<cos\theta_{pion}^{CM}<0.8 }[/math]	[math]\displaystyle{ 0.4<cos\theta_{pion}^{CM}<0.6 }[/math]	[math]\displaystyle{ 0.2<cos\theta_{pion}^{CM}<0.4 }[/math]	[math]\displaystyle{ 0<cos\theta_{pion}^{CM}<0.2 }[/math]

[math]\displaystyle{ -0.8>cos\theta_{pion}^{CM}>-1 }[/math]	[math]\displaystyle{ -0.6>cos\theta_{pion}^{CM}>-0.8 }[/math]	[math]\displaystyle{ -0.4>cos\theta_{pion}^{CM}>-0.6 }[/math]	[math]\displaystyle{ -0.2>cos\theta_{pion}^{CM}>-0.4 }[/math]	[math]\displaystyle{ 0>cos\theta_{pion}^{CM}>-0.2 }[/math]

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