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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[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

NH3 target	N15 and C12 target

[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

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]\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]

Phi_angle_CM_Frame_vs_Relative_Rate for Missing Mass equal to 1.45 GeV

[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{ -0.6>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]

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]\displaystyle{ 0.9<M_x<1.1 }[/math], [math]\displaystyle{ 1.1<W<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]\displaystyle{ 0.9<M_x<1.1 }[/math], [math]\displaystyle{ 1.1<W<1.5 }[/math] )
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