Phi angle in CM frame for different runs

EC_total, $cos\theta_{pion}^{CM}$ vs $\phi_{diff}^{CM}$, missing mass, $\theta_{e}$ vs $\phi_{e}$

Electron Momentum vs EC_total

Missing Mass

$\theta_{e}^{LAB}$ vs $\phi_{e}^{LAB}$

[1]

Phi lab $\varphi^{LAB}$

The angle is (0, 360).

electron sector	$\varphi_{e}^{LAB}$	$\varphi_{pion}^{LAB}$	$\varphi_{e}^{LAB} - \varphi_{pion}^{LAB}$ after correction
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Phi CM $\varphi^{CM}$

The phi angle after rotation and transformation to the CM frame

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

The angle is (0, 360).

$cos\theta_{pion}^{CM}$ vs $\phi_{diff}^{CM}$	$W$ vs $\phi_{diff}^{CM}$	$Q^2$ vs $\phi_{diff}^{CM}$

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

$cos\theta_{pion}^{CM}$ vs $\phi_{diff}^{CM}$	$W$ vs $\phi_{diff}^{CM}$	$Q^2$ vs $\phi_{diff}^{CM}$

Same table as above but with the cuts 1.0 < W < 1.25 GeV , 20 MeV bins in W and 15 degree bins in $\phi$

$cos\theta_{pion}^{CM}$ vs $\phi_{diff}^{CM}$	$W$ vs $\phi_{diff}^{CM}$	$Q^2$ vs $\phi_{diff}^{CM}$

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

$cos\theta_{pion}^{CM}$ vs $\phi_{diff}^{CM}$	$W$ vs $\phi_{diff}^{CM}$	$Q^2$ vs $\phi_{diff}^{CM}$

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]

$cos\theta_{pion}^{CM}$ vs $\phi_{diff}^{CM}$	$W$ vs $\phi_{diff}^{CM}$	$Q^2$ vs $\phi_{diff}^{CM}$

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]

$cos\theta_{pion}^{CM}$ vs $\phi_{diff}^{CM}$	$W$ vs $\phi_{diff}^{CM}$	$Q^2$ vs $\phi_{diff}^{CM}$

[2]

Phi_angle_in_CM_Frame for different $cos\theta_{pion}^{CM}$ cuts

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

Insert plot of M_x and W to show cuts

Then insert phi -vs- theta

$0.8\lt cos\theta_{pion}^{CM}\lt 1$	$0.6\lt cos\theta_{pion}^{CM}\lt 0.8$	$0.4\lt cos\theta_{pion}^{CM}\lt 0.6$	$0.2\lt cos\theta_{pion}^{CM}\lt 0.4$	$0\lt cos\theta_{pion}^{CM}\lt 0.2$

$-0.8\gt cos\theta_{pion}^{CM}\gt -1$	$-0.6\gt cos\theta_{pion}^{CM}\gt -0.8$	$-0.4\gt cos\theta_{pion}^{CM}\gt -0.6$	$-0.2\gt cos\theta_{pion}^{CM}\gt -0.4$	$0\gt cos\theta_{pion}^{CM}\gt -0.2$

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