Phi angle in CM frame for different runs

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

Electron Momentum vs EC_total

Missing Mass

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

[1]

Phi lab [math]\varphi^{LAB}[/math]

The angle is (0, 360).

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

The phi angle after rotation and transformation to the CM frame

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

The angle is (0, 360).

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

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

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

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

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

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

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

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

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

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

[2]

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

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

Insert plot of M_x and W to show cuts

Then insert phi -vs- theta

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

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

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

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

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

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