Phi angle in CM frame for different runs: Difference between revisions

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== Correlation plots with<math>cos\theta_{pion}^{CM} , W</math> , and <math>  Q^2</math> ==


The angle is (0, 360).<br>
;
{| border="1"  |cellpadding="20" cellspacing="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>
|-
|[[Image:pion_cos_theta_in_cm_frame_vs_phi_angle_difference_in_cm_frame_with_cuts.gif|300px]] || [[Image:missing_mass_vs_phi_angle_cm_frame.gif|300px]] || [[Image:Q_sqrd_vs_phi_angle_cm_frame.gif|300px]]
|}<br>
Same table as above but with the cut  1.0 < W < 1.5
{| border="1"  |cellpadding="20" cellspacing="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>
|-
|[[Image:pion_cos_theta_in_cm_frame_vs_phi_angle_difference_in_cm_frame_Wlt1.5.gif |300px]] || [[Image:missing_mass_vs_phi_angle_cm_frame_Wlt1.5.gif|300px]] || [[Image:Q_sqrd_vs_phi_angle_cm_frame_Wlt1.5.gif|300px]]
|}<br>
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>
{| border="1"  |cellpadding="20" cellspacing="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>
|-
|[[Image:pion_cos_theta_in_cm_frame_vs_phi_angle_difference_in_cm_frame_Wlt1.3.gif|300px]] || [[Image:missing_mass_vs_phi_angle_cm_frame_Wlt1.3.gif|300px]] || [[Image:Q_sqrd_vs_phi_angle_cm_frame_Wlt1.3.gif|300px]]
|}<br>
Same table as above but with the cuts 1.0 < W < 1.5 GeV and -0.2 < <math>cos\theta_{pion}^{CM}</math> < 0
{| border="1"  |cellpadding="20" cellspacing="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>
|-
|[[Image:pion_cos_theta_in_cm_frame_vs_phi_angle_difference_in_cm_frame_Wlt1.5_ct-0.1.gif|300px]] || [[Image:missing_mass_vs_phi_angle_cm_frame_Wlt1.5_ct-0.1.gif|300px]] || [[Image:Q_sqrd_vs_phi_angle_cm_frame_Wlt1.5_ct-0.1.gif|300px]]
|}<br>
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>
{| border="1"  |cellpadding="20" cellspacing="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>
|-
|[[Image:pion_cos_theta_in_cm_frame_vs_phi_angle_difference_in_cm_frame_Wlt1.2_ct-0.1.gif|300px]] || [[Image:missing_mass_vs_phi_angle_cm_frame_Wlt1.2_ct-0.1.gif|300px]] || [[Image:Q_sqrd_vs_phi_angle_cm_frame_Wlt1.2_ct-0.1.gif|300px]]
|}<br>
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>
{| border="1"  |cellpadding="20" cellspacing="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>
|-
|[[Image:pion_cos_theta_in_cm_frame_vs_phi_angle_difference_in_cm_frame_Wlt1.25_ct-0.1.gif|300px]] || [[Image:missing_mass_vs_phi_angle_cm_frame_Wlt1.25_ct-0.1.gif|300px]] || [[Image:Q_sqrd_vs_phi_angle_cm_frame_Wlt1.25_ct-0.1.gif|300px]]
|}<br>




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  Then insert phi -vs- theta
  Then insert phi -vs- theta


[[Image: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|400px]]<br>
{| border="1"  |cellpadding="20" cellspacing="0
|-
| NH3 target || N15 and C12 target
|-
|[[Image: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|400px]]||[[Image: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_186_files_N15C12.gif|400px]]
|}<br>
 


{| border="1"  |cellpadding="20" cellspacing="0  
{| border="1"  |cellpadding="20" cellspacing="0  
Line 187: Line 136:
| [[Image:cos_theta_of_pion_CM_Frame_vs_phi_angle_in_CM_Frame_W_1-15.gif|200px]] || [[Image:cos_theta_of_pion_CM_Frame_vs_phi_angle_in_CM_Frame_W_1-17.gif|200px]] || [[Image:cos_theta_of_pion_CM_Frame_vs_phi_angle_in_CM_Frame_W_1-19.gif|200px]] || [[Image:cos_theta_of_pion_CM_Frame_vs_phi_angle_in_CM_Frame_W_1-21.gif|200px]] ||
| [[Image:cos_theta_of_pion_CM_Frame_vs_phi_angle_in_CM_Frame_W_1-15.gif|200px]] || [[Image:cos_theta_of_pion_CM_Frame_vs_phi_angle_in_CM_Frame_W_1-17.gif|200px]] || [[Image:cos_theta_of_pion_CM_Frame_vs_phi_angle_in_CM_Frame_W_1-19.gif|200px]] || [[Image:cos_theta_of_pion_CM_Frame_vs_phi_angle_in_CM_Frame_W_1-21.gif|200px]] ||
[[Image:cos_theta_of_pion_CM_Frame_vs_phi_angle_in_CM_Frame_W_1-23.gif|200px]]
[[Image:cos_theta_of_pion_CM_Frame_vs_phi_angle_in_CM_Frame_W_1-23.gif|200px]]
|}<br>
{| border="1"  |cellpadding="20" cellspacing="0
|-
| 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
|-
| [[Image:cos_theta_of_pion_CM_Frame_vs_phi_angle_in_CM_Frame_W_1-25.gif|200px]] || [[Image:cos_theta_of_pion_CM_Frame_vs_phi_angle_in_CM_Frame_W_1-27.gif|200px]] || [[Image:cos_theta_of_pion_CM_Frame_vs_phi_angle_in_CM_Frame_W_1-29.gif|200px]] || [[Image:cos_theta_of_pion_CM_Frame_vs_phi_angle_in_CM_Frame_W_1-31.gif|200px]] ||
[[Image:cos_theta_of_pion_CM_Frame_vs_phi_angle_in_CM_Frame_W_1-33.gif|200px]]
|}<br>
{| border="1"  |cellpadding="20" cellspacing="0
|-
| 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
|-
| [[Image:cos_theta_of_pion_CM_Frame_vs_phi_angle_in_CM_Frame_W_1-35.gif|200px]] || [[Image:cos_theta_of_pion_CM_Frame_vs_phi_angle_in_CM_Frame_W_1-37.gif|200px]] || [[Image:cos_theta_of_pion_CM_Frame_vs_phi_angle_in_CM_Frame_W_1-39.gif|200px]] || [[Image:cos_theta_of_pion_CM_Frame_vs_phi_angle_in_CM_Frame_W_1-41.gif|200px]] ||
[[Image:cos_theta_of_pion_CM_Frame_vs_phi_angle_in_CM_Frame_W_1-43.gif|200px]]
|}<br>
|}<br>


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| [[Image:phi_angle_in_CM_Frame_cos_theta_-0-8_-1_W_1-45.gif|200px]] || [[Image:phi_angle_in_CM_Frame_cos_theta_-0-6_-0-8_W_1-45.gif|200px]] || [[Image:phi_angle_in_CM_Frame_cos_theta_-0-4_-0-6_W_1-45.gif|200px]] || [[Image:phi_angle_in_CM_Frame_cos_theta_-0-2_-0-4_W_1-45.gif|200px]] ||
| [[Image:phi_angle_in_CM_Frame_cos_theta_-0-8_-1_W_1-45.gif|200px]] || [[Image:phi_angle_in_CM_Frame_cos_theta_-0-6_-0-8_W_1-45.gif|200px]] || [[Image:phi_angle_in_CM_Frame_cos_theta_-0-4_-0-6_W_1-45.gif|200px]] || [[Image:phi_angle_in_CM_Frame_cos_theta_-0-2_-0-4_W_1-45.gif|200px]] ||
[[Image:phi_angle_in_CM_Frame_cos_theta_0_-0-2_W_1-45.gif|200px]]
[[Image:phi_angle_in_CM_Frame_cos_theta_0_-0-2_W_1-45.gif|200px]]
|}<br>
==Phi_angle_CM_Frame_vs_Relative_Rate for Missing Mass equal to 1.45 GeV==
{| border="1"  |cellpadding="20" cellspacing="0
|-
| <math>0.8<cos\theta_{pion}^{CM}<1</math> || <math>0.6<cos\theta_{pion}^{CM}<0.8</math> || <math>0.4<cos\theta_{pion}^{CM}<0.6</math> || <math>0.2<cos\theta_{pion}^{CM}<0.4</math> || <math>0<cos\theta_{pion}^{CM}<0.2</math>
|-
| [[Image:phi_angle_in_CM_Frame_vs_Relative_Rate_cos_theta_0-8_1_W_1-45.jpg|200px]] || [[Image:phi_angle_in_CM_Frame_vs_Relative_Rate_cos_theta_0-6_0-8_W_1-45.jpg|200px]] || [[Image:phi_angle_in_CM_Frame_vs_Relative_Rate_cos_theta_0-4_0-6_W_1-45.jpg|200px]] || [[Image:phi_angle_in_CM_Frame_vs_Relative_Rate_cos_theta_0-2_0-4_W_1-45.jpg|200px]] ||
[[Image:phi_angle_in_CM_Frame_vs_Relative_Rate_cos_theta_0_0-2_W_1-45.jpg|200px]]
|}<br>
{| border="1"  |cellpadding="20" cellspacing="0
|-
| <math>-0.6>cos\theta_{pion}^{CM}>-0.8</math> || <math>-0.4>cos\theta_{pion}^{CM}>-0.6</math> || <math>-0.2>cos\theta_{pion}^{CM}>-0.4</math> || <math>0>cos\theta_{pion}^{CM}>-0.2</math>
|-
|[[Image:phi_angle_in_CM_Frame_vs_Relative_Rate_cos_theta_-0-6_-0-8_W_1-45.jpg|200px]] || [[Image:phi_angle_in_CM_Frame_vs_Relative_Rate_cos_theta_-0-4_-0-6_W_1-45.jpg|200px]] || [[Image:phi_angle_in_CM_Frame_vs_Relative_Rate_cos_theta_-0-2_-0-4_W_1-45.jpg|200px]] ||
[[Image:phi_angle_in_CM_Frame_vs_Relative_Rate_cos_theta_0_-0-2_W_1-45.jpg|200px]]
|}<br>
==Pion_theta_angle_in_Lab_Frame_vs_phi_angle_in_CM_Frame==
{| border="1"  |cellpadding="20" cellspacing="0
|-
| 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<M_x<1.1</math>, <math>1.1<W<1.5</math> ) 
|-
| 1 || [[Image:pion_theta_angle_vs_phi_angle_in_cm_frame_before_cuts_sector_1.gif|300px]] || [[Image:pion_theta_angle_vs_phi_angle_in_cm_frame_after_cuts_sector_1.gif|300px]]
|-
| 2 || [[Image:pion_theta_angle_vs_phi_angle_in_cm_frame_before_cuts_sector_2.gif|300px]] || [[Image:pion_theta_angle_vs_phi_angle_in_cm_frame_after_cuts_sector_2.gif|300px]]
|-
| 3 || [[Image:pion_theta_angle_vs_phi_angle_in_cm_frame_before_cuts_sector_3.gif|300px]] || [[Image:pion_theta_angle_vs_phi_angle_in_cm_frame_after_cuts_sector_3.gif|300px]]
|-
| 4 || [[Image:pion_theta_angle_vs_phi_angle_in_cm_frame_before_cuts_sector_4.gif|300px]] || [[Image:pion_theta_angle_vs_phi_angle_in_cm_frame_after_cuts_sector_4.gif|300px]]
|-
| 5 || [[Image:pion_theta_angle_vs_phi_angle_in_cm_frame_before_cuts_sector_5.gif|300px]] || [[Image:pion_theta_angle_vs_phi_angle_in_cm_frame_after_cuts_sector_5.gif|300px]]
|-
| 6 || [[Image:pion_theta_angle_vs_phi_angle_in_cm_frame_before_cuts_sector_6.gif|300px]] || [[Image:pion_theta_angle_vs_phi_angle_in_cm_frame_after_cuts_sector_6.gif|300px]]
|-
|}<br>
{| border="1"  |cellpadding="20" cellspacing="0
|-
| 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<M_x<1.1</math>, <math>1.1<W<1.5</math> ) 
|-
| 1 || [[Image:pion_theta_angle_vs_phi_angle_in_cm_frame_after_cuts_pion_sector_1.gif|300px]]
|-
| 2 || [[Image:pion_theta_angle_vs_phi_angle_in_cm_frame_after_cuts_pion_sector_2.gif|300px]]
|-
| 3 || [[Image:pion_theta_angle_vs_phi_angle_in_cm_frame_after_cuts_pion_sector_3.gif|300px]]
|-
| 4 || [[Image:pion_theta_angle_vs_phi_angle_in_cm_frame_after_cuts_pion_sector_4.gif|300px]]
|-
| 5 || [[Image:pion_theta_angle_vs_phi_angle_in_cm_frame_after_cuts_pion_sector_5.gif|300px]]
|-
| 6 || [[Image:pion_theta_angle_vs_phi_angle_in_cm_frame_after_cuts_pion_sector_6.gif|300px]]
|-
|}<br>
|}<br>


[[http://iac.isu.edu/mediawiki/index.php/Analysis Back to Analysis]]
[[http://iac.isu.edu/mediawiki/index.php/Analysis Back to Analysis]]

Latest revision as of 14:21, 13 August 2008

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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