Phi angle in CM frame for different runs

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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] 




 1.4 < Q^2 < 1.8   1.13< W <1.17

cos(theta_pi) phi(pi+) dsigma/dOmega Data errors Systematic errors

dimensionless degree mcbn/sterad mcbn/sterad mcbn/sterad

0.3 7.5 0.23121 0.03482 0.0881

0.3 22.5 0.26869 0.06138 0.10488

0.3 127.5 0.8338 0.0946 0.00803

0.3 142.5 0.75189 0.07331 0.01173

0.3 157.5 0.51962 0.06065 0.01193

0.3 172.5 0.51907 0.05707 0.00719

0.3 187.5 0.52325 0.0595 0.01046

0.3 202.5 0.62424 0.06558 0.03508

0.3 217.5 0.7166 0.07414 0.01469

0.3 232.5 0.88201 0.08297 0.00386

0.3 247.5 0.93528 0.10613 0.02175

0.3 337.5 0.25797 0.05635 0.13169

0.3 352.5 0.14197 0.02875 0.0614

0.5 7.5 0.179 0.02725 0.00658

0.5 22.5 0.30852 0.04432 0.03407

0.5 37.5 0.5206 0.07215 0.01749

0.5 97.5 1.12986 0.08825 0.01938

0.5 112.5 1.09252 0.10256 0.06597

0.5 127.5 0.9763 0.08506 0.01533

0.5 142.5 0.79077 0.07363 0.00473

0.5 157.5 0.59172 0.06821 0.00877

0.5 172.5 0.58077 0.06074 0.00335

0.5 187.5 0.50715 0.06304 0.00339

0.5 202.5 0.70732 0.07237 0.00357

0.5 217.5 0.88784 0.06989 0.00937

0.5 232.5 0.94631 0.08343 0.01849

0.5 247.5 1.00856 0.10138 0.0134

0.5 262.5 1.10049 0.10723 0.02199

0.5 292.5 1.03853 0.12326 0.02233

0.5 307.5 0.79737 0.09255 0.02999

0.5 322.5 0.47804 0.05456 0.06938

0.5 337.5 0.22268 0.0358 0.01679

0.5 352.5 0.1918 0.02612 0.00524

0.7 7.5 0.30337 0.0306 0.00398

0.7 22.5 0.30258 0.03349 0.00667

0.7 37.5 0.46911 0.04764 0.01997

0.7 52.5 0.57902 0.063 0.00552

0.7 67.5 0.97887 0.08763 0.00523

0.7 82.5 1.03443 0.08417 0.03062

0.7 97.5 1.17882 0.09053 0.00646

0.7 112.5 0.77904 0.07607 0.00368

0.7 127.5 0.82434 0.07262 0.00653

0.7 142.5 0.59427 0.06226 0.03665

0.7 157.5 0.74611 0.06865 0.02487

0.7 172.5 0.66586 0.07026 0.0199

0.7 187.5 0.69131 0.066 0.02584

0.7 202.5 0.68681 0.06741 0.04256

0.7 217.5 0.86021 0.07673 0.00771

0.7 232.5 0.71823 0.06485 0.00523

0.7 247.5 1.01875 0.07804 0.01166

0.7 262.5 0.96511 0.08223 0.01259

0.7 277.5 0.88611 0.07973 0.00523

0.7 292.5 0.78151 0.0745 0.02159

0.7 307.5 0.567 0.05758 0.0221

0.7 322.5 0.54127 0.0554 0.01185

0.7 337.5 0.29805 0.03881 0.00821

0.7 352.5 0.31606 0.03496 0.02255

0.9 7.5 0.46812 0.04844 0.00794

0.9 22.5 0.43017 0.04467 0.0078

0.9 37.5 0.52086 0.05095 0.00808

0.9 52.5 0.46469 0.04821 0.00821

0.9 67.5 0.72754 0.06163 0.00574

0.9 82.5 0.74611 0.0728 0.00751

0.9 97.5 0.83247 0.06562 0.01103

0.9 112.5 0.66814 0.06182 0.00379

0.9 127.5 0.86453 0.06943 0.00463

0.9 142.5 0.62351 0.06141 0.00539

0.9 157.5 0.67536 0.06566 0.01181

0.9 172.5 0.7917 0.07021 0.00883

0.9 187.5 0.67283 0.06538 0.00671

0.9 202.5 0.69394 0.06482 0.01046

0.9 217.5 0.93148 0.07572 0.01137

0.9 232.5 0.85828 0.07093 0.011

0.9 247.5 0.92765 0.07794 0.00996

0.9 262.5 0.82349 0.07194 0.00628

0.9 277.5 0.78016 0.06459 0.01851

0.9 292.5 0.70836 0.06817 0.01541

0.9 307.5 0.60915 0.05905 0.01231

0.9 322.5 0.49794 0.04657 0.00566

0.9 337.5 0.4766 0.05517 0.00839

0.9 352.5 0.74038 0.0689 0.01111


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