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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[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

NH3 target	N15 and C12 target

[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]

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

1.24<W<1.26	1.26<W<1.28	1.28<W<1.3	1.3<W<1.32	1.32<W<1.34

1.34<W<1.36	1.36<W<1.38	1.38<W<1.4	1.4<W<1.42	1.42<W<1.44

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]

Phi_angle_CM_Frame_vs_Relative_Rate for Missing Mass equal to 1.45 GeV

[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]-0.6\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]

Pion_theta_angle_in_Lab_Frame_vs_phi_angle_in_CM_Frame

electron sector	pion_theta_angle_vs_phi_angle_in_CM_Frame_before_cuts	pion_theta_angle_vs_phi_angle_in_CM_Frame_after_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] )
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pion sector	pion_theta_angle_vs_phi_angle_in_CM_Frame_after_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] )
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