Phi angle in CM frame for different runs

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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

Electron momentum vs EC total without cuts.gif Electron momentum vs EC total with cuts.gif

Missing Mass

Missing mass vs Q sqrd.gif Missing mass no cuts.gif

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

Electron theta vs electron phi angle in lab frame using trl variables with cuts.gif


[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
1 Electron phi angle for sector 1 in LAB frame 27 files.gif Pion phi angle for sector 1 in LAB frame 27 files.gif Phi angle difference for sector 1 in LAB frame 27 files after cor.gif
2 Electron phi angle for sector 2 in LAB frame 27 files.gif Pion phi angle for sector 2 in LAB frame 27 files.gif Phi angle difference for sector 2 in LAB frame 27 files after cor.gif
3 Electron phi angle for sector 3 in LAB frame 27 files.gif Pion phi angle for sector 3 in LAB frame 27 files.gif Phi angle difference for sector 3 in LAB frame 27 files after cor.gif
4 Electron phi angle for sector 4 in LAB frame 27 files.gif Pion phi angle for sector 4 in LAB frame 27 files.gif Phi angle difference for sector 4 in LAB frame 27 files after cor.gif
5 Electron phi angle for sector 5 in LAB frame 27 files.gif Pion phi angle for sector 5 in LAB frame 27 files.gif Phi angle difference for sector 5 in LAB frame 27 files after cor.gif
6 Electron phi angle for sector 6 in LAB frame 27 files.gif Pion phi angle for sector 6 in LAB frame 27 files.gif Phi angle difference for sector 6 in LAB frame 27 files after cor.gif


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]
1 Electron phi angle for sector 1 in CM frame 27095.gif Pion phi angle for sector 1 in CM frame 27095.gif
2 Electron phi angle for sector 2 in CM frame 27095.gif Pion phi angle for sector 2 in CM frame 27095.gif
3 Electron phi angle for sector 3 in CM frame 27095.gif Pion phi angle for sector 3 in CM frame 27095.gif
4 Electron phi angle for sector 4 in CM frame 27095.gif Pion phi angle for sector 4 in CM frame 27095.gif
5 Electron phi angle for sector 5 in CM frame 27095.gif Pion phi angle for sector 5 in CM frame 27095.gif
6 Electron phi angle for sector 6 in CM frame 27095.gif Pion phi angle for sector 6 in CM frame 27095.gif


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]
Pion cos theta in cm frame vs phi angle difference in cm frame with cuts.gif Missing mass vs phi angle cm frame.gif Q sqrd vs phi angle cm frame.gif



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]
Pion cos theta in cm frame vs phi angle difference in cm frame Wlt1.5.gif Missing mass vs phi angle cm frame Wlt1.5.gif Q sqrd vs phi angle cm frame Wlt1.5.gif


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]
Pion cos theta in cm frame vs phi angle difference in cm frame Wlt1.3.gif Missing mass vs phi angle cm frame Wlt1.3.gif Q sqrd vs phi angle cm frame Wlt1.3.gif


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]
Pion cos theta in cm frame vs phi angle difference in cm frame Wlt1.5 ct-0.1.gif Missing mass vs phi angle cm frame Wlt1.5 ct-0.1.gif Q sqrd vs phi angle cm frame Wlt1.5 ct-0.1.gif 



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]
Pion cos theta in cm frame vs phi angle difference in cm frame Wlt1.2 ct-0.1.gif Missing mass vs phi angle cm frame Wlt1.2 ct-0.1.gif Q sqrd vs phi angle cm frame Wlt1.2 ct-0.1.gif 


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]
Pion cos theta in cm frame vs phi angle difference in cm frame Wlt1.25 ct-0.1.gif Missing mass vs phi angle cm frame Wlt1.25 ct-0.1.gif Q sqrd vs phi angle cm frame Wlt1.25 ct-0.1.gif



Pion phi angle for All sectors in CM frame 27095.gif

[2]

Missing mass events 198333 neutron is required.gifM x neutron is required.gifM x neutron is required zoomed in.gif
Missing mass vs Q^2 neutron required.gifMissing mass vs Q^2 neutron required zoomed in.gif

Missing mass vs phi angle in cm frame neutron required.gifQ^2 vs phi angle in cm frame neutron required.gif

Cos theta cm pion vs phi angle in cm frame neutron required.gif

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

M x EC cuts 0-9 M x 1-1 1-1 W 1-5 1735 files.gifMissing Mass EC cuts 0-9 M x 1-1 1-1 W 1-5 1735 files.gif

Then insert phi -vs- theta

Cos theta of pion in cm vs phi angle difference in cm frame EC cuts 0-9 M x 1-1 1-1 W 1-5 1735 files.gif

[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]
Phi angle in CM Frame cos theta 0-8 1.gif Phi angle in CM Frame cos theta 0-6 0-8.gif Phi angle in CM Frame cos theta 0-4 0-6.gif Phi angle in CM Frame cos theta 0-2 0-4.gif

Phi angle in CM Frame cos theta 0 0-2.gif



[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 in CM Frame cos theta -0-8 -1.gif Phi angle in CM Frame cos theta -0-6 -0-8.gif Phi angle in CM Frame cos theta -0-4 -0-6.gif Phi angle in CM Frame cos theta -0-2 -0-4.gif

Phi angle in CM Frame cos theta 0 -0-2.gif



1111.gif

 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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