Difference between revisions of "Phi angle in CM frame for different runs"

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Line 5: Line 5:
 
[[Image:electron_momentum_vs_EC_total_with_cuts.gif|300px]]<br>
 
[[Image:electron_momentum_vs_EC_total_with_cuts.gif|300px]]<br>
  
 +
;Missing Mass
 +
[[Image:missing_mass_vs_Q_sqrd.gif|300px]]
 +
[[Image:missing_mass_no_cuts.gif|400px]]
 +
 +
;<math>\theta_{e}^{LAB}</math> vs <math>\phi_{e}^{LAB}</math>
 +
[[Image:electron_theta_vs_electron_phi_angle_in_lab_frame_using_trl_variables_with_cuts.gif|400px]]<br>
  
−
[[Image:missing_mass_no_cuts.gif|400px]]<br>
 
  
−
[[Image:electron_theta_vs_electron_phi_angle_in_lab_frame_using_trl_variables_with_cuts.gif|400px]]<br>
 
  
−
[[Image:pion_cosine_theta_in_cm_frame_vs_phi_angle_difference_in_cm_frame_with_cuts.gif|300px]][[Image:pion_cosine_theta_in_cm_frame_vs_phi_angle_difference_in_cm_frame_with_cuts_negative_and_positive_angles.gif|300px]]<br>
+
[http://arxiv.org/abs/0709.1946]
  
−
=<math>\varphi^{LAB}</math>=
+
=Phi lab <math>\varphi^{LAB}</math>=
  
  
Line 36: Line 40:
 
|}<br>
 
|}<br>
  
−
=<math>\varphi^{CM}</math>=
+
=Phi CM <math>\varphi^{CM}</math>=
−
The angle is (0, 360).<br>
+
 
 +
==The phi angle after rotation and transformation to the CM frame==
  
−
I have applied the following cuts: EC_tot>140MeV, EC_inner>50Mev and nphe>2.5.<br>
 
 
{| border="1"  |cellpadding="20" cellspacing="0  
 
{| border="1"  |cellpadding="20" cellspacing="0  
 
|-
 
|-
−
| electron sector  || <math>\varphi_{e}^{CM}</math> || <math>\varphi_{pion}^{CM}</math>  || <math>\varphi_{e}^{CM} - \varphi_{pion}^{CM}</math> after correction || <math>\varphi_{e}^{CM} - \varphi_{pion}^{CM}</math>
+
| electron sector  || <math>\varphi_{e}^{CM}</math> || <math>\varphi_{pion}^{CM}</math>   
 
|-
 
|-
−
| 1 || [[Image:electron_phi_angle_for_sector_1_in_CM_frame_27_files_cuts.gif|300px]] || [[Image:pion_phi_angle_for_sector_1_in_CM_frame_27_files_cuts.gif|300px]] || [[Image:phi_angle_difference_for_sector_1_in_CM_frame_27_files_after_cor_cuts.gif|300px]]
+
| 1 || [[Image:electron_phi_angle_for_sector_1_in_CM_frame_27095.gif|300px]] || [[Image:pion_phi_angle_for_sector_1_in_CM_frame_27095.gif|300px]]
−
||  [[Image:phi_angle_difference_for_sector_1_in_CM_frame_27_files_cuts.gif|300px]]
+
|-
 +
| 2 || [[Image:electron_phi_angle_for_sector_2_in_CM_frame_27095.gif|300px]] || [[Image:pion_phi_angle_for_sector_2_in_CM_frame_27095.gif|300px]]
 +
|-
 +
| 3 || [[Image:electron_phi_angle_for_sector_3_in_CM_frame_27095.gif|300px]] || [[Image:pion_phi_angle_for_sector_3_in_CM_frame_27095.gif|300px]]
 +
|-
 +
| 4 || [[Image:electron_phi_angle_for_sector_4_in_CM_frame_27095.gif|300px]] || [[Image:pion_phi_angle_for_sector_4_in_CM_frame_27095.gif|300px]]
 +
|-
 +
| 5 || [[Image:electron_phi_angle_for_sector_5_in_CM_frame_27095.gif|300px]] || [[Image:pion_phi_angle_for_sector_5_in_CM_frame_27095.gif|300px]]
 +
|-
 +
| 6 || [[Image:electron_phi_angle_for_sector_6_in_CM_frame_27095.gif|300px]] || [[Image:pion_phi_angle_for_sector_6_in_CM_frame_27095.gif|300px]]
 +
|-
 +
|}<br>
 +
 
 +
 
 +
 
 +
 
 +
[[Image:pion_phi_angle_for_All_sectors_in_CM_frame_27095.gif|400px]] <br>
 +
 
 +
[http://clasweb.jlab.org/cgi-bin/clasdb/db.cgi?beam=1&beam_pol=0&tgt=any&tz=&ta=&target_pol=0&final=1&final_pol=0&q2min=&q2max=&wmin=&wmax=&xmin=&xmax=&ephmin=&ephmax=&quantity=19&authors=&year=&eid=&selected-fields=id&selected-fields=final&selected-fields=q2min&selected-fields=q2max&selected-fields=wmin&selected-fields=wmax&selected-fields=quantity&selected-fields=title&selected-fields=authors&selected-fields=year&limit=100&search=Start+search]
 +
 
 +
== ==
 +
 
 +
[[Image:missing_mass_events_198333_neutron_is_required.gif|300px]][[Image:M_x_neutron_is_required.gif|300px]][[Image:M_x_neutron_is_required_zoomed_in.gif|300px]]<br>
 +
[[Image:missing_mass_vs_Q^2_neutron_required.gif|300px]][[Image:missing_mass_vs_Q^2_neutron_required_zoomed_in.gif|300px]]<br>
 +
 
 +
[[Image:missing_mass_vs_phi_angle_in_cm_frame_neutron_required.gif|300px]][[Image:Q^2_vs_phi_angle_in_cm_frame_neutron_required.gif|300px]]<br>
 +
 
 +
[[Image:cos_theta_cm_pion_vs_phi_angle_in_cm_frame_neutron_required.gif|300px]]<br>
 +
 
 +
==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<M_x<1.1</math>, <math>1.1<W<1.5</math> and EC cuts.<br>
 +
 
 +
  Insert plot of M_x and W to show cuts
 +
 
 +
[[Image:M_x_EC_cuts_0-9_M_x_1-1_1-1_W_1-5_1735_files.gif|200px]][[Image:Missing_Mass_EC_cuts_0-9_M_x_1-1_1-1_W_1-5_1735_files.gif|200px]]<br>
 +
 
 +
Then insert phi -vs- theta
 +
 
 +
{| border="1"  |cellpadding="20" cellspacing="0
 
|-
 
|-
−
| 2 || [[Image:electron_phi_angle_for_sector_2_in_CM_frame_27_files_cuts.gif|300px]] || [[Image:pion_phi_angle_for_sector_2_in_CM_frame_27_files_cuts.gif|300px]] || [[Image:phi_angle_difference_for_sector_2_in_CM_frame_27_files_after_cor_cuts.gif|300px]]
+
| NH3 target || N15 and C12 target
−
||  [[Image:phi_angle_difference_for_sector_2_in_CM_frame_27_files_cuts.gif|300px]]
 
 
|-
 
|-
−
| 3 || [[Image:electron_phi_angle_for_sector_3_in_CM_frame_27_files_cuts.gif|300px]] || [[Image:pion_phi_angle_for_sector_3_in_CM_frame_27_files_cuts.gif|300px]] || [[Image:phi_angle_difference_for_sector_3_in_CM_frame_27_files_after_cor_cuts.gif|300px]]
+
|[[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]]
−
|| [[Image:phi_angle_difference_for_sector_3_in_CM_frame_27_files_cuts.gif|300px]]
+
|}<br>
 +
 
 +
 
 +
{| border="1" |cellpadding="20" cellspacing="0
 
|-
 
|-
−
| 4 || [[Image:electron_phi_angle_for_sector_4_in_CM_frame_27_files_cuts.gif|300px]] || [[Image:pion_phi_angle_for_sector_4_in_CM_frame_27_files_cuts.gif|300px]] ||  [[Image:phi_angle_difference_for_sector_4_in_CM_frame_27_files_after_cor_cuts.gif|300px]]
+
| <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_difference_for_sector_4_in_CM_frame_27_files_cuts.gif|300px]]
 
 
|-
 
|-
−
| 5 || [[Image:electron_phi_angle_for_sector_5_in_CM_frame_27_files_cuts.gif|300px]] || [[Image:pion_phi_angle_for_sector_5_in_CM_frame_27_files_cuts.gif|300px]] || [[Image:phi_angle_difference_for_sector_5_in_CM_frame_27_files_after_cor_cuts.gif|300px]]
+
| [[Image:phi_angle_in_CM_Frame_cos_theta_0-8_1.gif|200px]] || [[Image:phi_angle_in_CM_Frame_cos_theta_0-6_0-8.gif|200px]] || [[Image:phi_angle_in_CM_Frame_cos_theta_0-4_0-6.gif|200px]] || [[Image:phi_angle_in_CM_Frame_cos_theta_0-2_0-4.gif|200px]] ||
−
|| [[Image:phi_angle_difference_for_sector_5_in_CM_frame_27_files_cuts.gif|300px]]
+
[[Image:phi_angle_in_CM_Frame_cos_theta_0_0-2.gif|200px]]
 +
|}<br>
 +
 
 +
 
 +
{| border="1"  |cellpadding="20" cellspacing="0
 
|-
 
|-
−
| 6 || [[Image:electron_phi_angle_for_sector_6_in_CM_frame_27_files_cuts.gif|300px]] || [[Image:pion_phi_angle_for_sector_6_in_CM_frame_27_files_cuts.gif|300px]] ||  [[Image:phi_angle_difference_for_sector_6_in_CM_frame_27_files_after_cor_cuts.gif|300px]]
+
| <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_difference_for_sector_6_in_CM_frame_27_files_cuts.gif|300px]]
 
 
|-
 
|-
 +
| [[Image:phi_angle_in_CM_Frame_cos_theta_-0-8_-1.gif|200px]] || [[Image:phi_angle_in_CM_Frame_cos_theta_-0-6_-0-8.gif|200px]] || [[Image:phi_angle_in_CM_Frame_cos_theta_-0-4_-0-6.gif|200px]] || [[Image:phi_angle_in_CM_Frame_cos_theta_-0-2_-0-4.gif|200px]] ||
 +
[[Image:phi_angle_in_CM_Frame_cos_theta_0_-0-2.gif|200px]]
 
|}<br>
 
|}<br>
  
  
−
[[Image:phi_angle_difference_for_ALL_sectors_in_CM_frame_27_files_cuts.gif|500px]]<br>
 
−
[[Image:phi_angle_difference_for_ALL_sectors_in_CM_frame_27_files_corrected_cuts.gif|500px]]<br>
 
−
[[Image:phi_angle_difference_fnot_sure.gif|500px]]<br>
 
  
 +
[[Image:1111.gif|400px]]<br>
  
 +
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> and <math>0.6<cos\theta_{pion}^{CM}<0.8</math>.<br>
 +
[http://clasweb.jlab.org/cgi-bin/clasdb/msm.cgi?eid=14&mid=16&data=on]
 +
[[Image:phi_angle_cm_frame_vs_rate_two_results_compared_cos_theta_0-6_0-8.jpg|500px]]<br>
  
−
;phi_angle_in_cm_frame_vs_electron_sector
 
−
9 files. The cuts:  EC_tot>140MeV, EC_inner>50Mev and nphe>2.5.<br>
 
−
[[Image:phi_angle_in_cm_frame_vs_electron_sector_1_begin_run_27074_8_files.gif|400px]][[Image:phi_angle_in_cm_frame_vs_electron_sector_6_begin_run_27074_8_files.gif|400px]]<br>
 
  
−
[[Image:phi_angle_in_cm_frame_vs_electron_sector_2_begin_run_27074_8_files.gif|400px]]<br>
+
Cuts: EC_inner>0.06, EC_tot/p>0.2, nphe>2.5, <math>0.9<M_x<1.1</math>, <math>1.44<W<1.46</math> and <math>0.6<cos\theta_{pion}^{CM}<0.8</math>.<br>
−
[[Image:phi_angle_in_cm_frame_vs_electron_sector_3_begin_run_27074_8_files.gif|400px]]
+
[http://clasweb.jlab.org/cgi-bin/clasdb/msm.cgi?eid=14&mid=16&data=on]
−
[[Image:phi_angle_in_cm_frame_vs_electron_sector_4_begin_run_27074_8_files.gif|400px]]<br>
+
[[Image:phi_angle_cm_frame_vs_rate_two_results_compared_cos_theta_0-6_0-8_W_1-45.jpg|500px]]<br>
−
[[Image:phi_angle_in_cm_frame_vs_electron_sector_5_begin_run_27074_8_files.gif|400px]]<br>
 
  
−
[[Image:phi_angle_in_cm_frame_vs_electron_all_sectors_begin_run_27074_8_files.gif|400px]]<br>
+
==cos_theta_pion_CM_Frame_vs_Phi_angle_in_CM_Frame for different W(missing mass) cuts==
−
[[Image:pion_cosine_theta_in_cm_frame_vs_phi_angle_difference_in_cm_frame_with_cuts_8_files_using_rotation_around_phi_gamma_angle.gif|400px]]
 
  
  
−
;phi_angle_in_cm_frame_vs_electron_sector
 
−
I used 27 files. The cut is applied on <math>1.6 < Q^{2} < 1.9</math>.<br>
 
−
[[Image:phi_angle_in_cm_frame_vs_electron_sector_1_begin_run_27074_27_files.gif|400px]][[Image:phi_angle_in_cm_frame_vs_electron_sector_6_begin_run_27074_27_files.gif|400px]]<br>
 
  
−
[[Image:phi_angle_in_cm_frame_vs_electron_sector_2_begin_run_27074_27_files.gif|400px]]<br>
+
{| border="1"  |cellpadding="20" cellspacing="0
−
[[Image:phi_angle_in_cm_frame_vs_electron_sector_3_begin_run_27074_27_files.gif|400px]]
+
|-
−
[[Image:phi_angle_in_cm_frame_vs_electron_sector_4_begin_run_27074_27_files.gif|400px]]<br>
+
| 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
−
[[Image:phi_angle_in_cm_frame_vs_electron_sector_5_begin_run_27074_27_files.gif|400px]]
+
|-
 +
| [[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]]
 +
|}<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>
  
−
;phi_angle_in_cm_frame_vs_pion_sector
 
−
[[Image:phi_angle_in_cm_frame_vs_pion_sector_1_begin_run_27074_27_files.gif|400px]]
 
−
[[Image:phi_angle_in_cm_frame_vs_pion_sector_2_begin_run_27074_27_files.gif|400px]]<br>
 
−
[[Image:phi_angle_in_cm_frame_vs_pion_sector_3_begin_run_27074_27_files.gif|400px]]
 
−
[[Image:phi_angle_in_cm_frame_vs_pion_sector_4_begin_run_27074_27_files.gif|400px]]<br>
 
−
[[Image:phi_angle_in_cm_frame_vs_pion_sector_5_begin_run_27074_27_files.gif|400px]]
 
−
[[Image:phi_angle_in_cm_frame_vs_pion_sector_6_begin_run_27074_27_files.gif|400px]]<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>
 +
 +
==Phi_angle_in_CM_Frame for 1.44<W<1.46==
 +
 +
 +
{| 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_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]]
 +
|}<br>
 +
 +
 +
{| 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_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]]
 +
|}<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]]
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| 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]]
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| 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]]
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| 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]]
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| 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]]
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{| border="1"  |cellpadding="20" cellspacing="0
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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>0.9<M_x<1.1</math>, <math>1.1<W<1.5</math> ) 
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| 1 || [[Image:pion_theta_angle_vs_phi_angle_in_cm_frame_after_cuts_pion_sector_1.gif|300px]]
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| 2 || [[Image:pion_theta_angle_vs_phi_angle_in_cm_frame_after_cuts_pion_sector_2.gif|300px]]
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| 3 || [[Image:pion_theta_angle_vs_phi_angle_in_cm_frame_after_cuts_pion_sector_3.gif|300px]]
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| 4 || [[Image:pion_theta_angle_vs_phi_angle_in_cm_frame_after_cuts_pion_sector_4.gif|300px]]
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| 5 || [[Image:pion_theta_angle_vs_phi_angle_in_cm_frame_after_cuts_pion_sector_5.gif|300px]]
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| 6 || [[Image:pion_theta_angle_vs_phi_angle_in_cm_frame_after_cuts_pion_sector_6.gif|300px]]
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|-
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|}<br>
  
 
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Latest revision as of 14:21, 13 August 2008

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




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
NH3 target N15 and C12 target
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 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



[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

Cuts: EC_inner>0.06, EC_tot/p>0.2, nphe>2.5, [math]0.9\lt M_x\lt 1.1[/math], [math]1.1\lt W\lt 1.5[/math] and [math]0.6\lt cos\theta_{pion}^{CM}\lt 0.8[/math].
[3] Phi angle cm frame vs rate two results compared cos theta 0-6 0-8.jpg


Cuts: EC_inner>0.06, EC_tot/p>0.2, nphe>2.5, [math]0.9\lt M_x\lt 1.1[/math], [math]1.44\lt W\lt 1.46[/math] and [math]0.6\lt cos\theta_{pion}^{CM}\lt 0.8[/math].
[4] Phi angle cm frame vs rate two results compared cos theta 0-6 0-8 W 1-45.jpg

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
Cos theta of pion CM Frame vs phi angle in CM Frame W 1-15.gif Cos theta of pion CM Frame vs phi angle in CM Frame W 1-17.gif Cos theta of pion CM Frame vs phi angle in CM Frame W 1-19.gif Cos theta of pion CM Frame vs phi angle in CM Frame W 1-21.gif

Cos theta of pion CM Frame vs phi angle in CM Frame W 1-23.gif



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
Cos theta of pion CM Frame vs phi angle in CM Frame W 1-25.gif Cos theta of pion CM Frame vs phi angle in CM Frame W 1-27.gif Cos theta of pion CM Frame vs phi angle in CM Frame W 1-29.gif Cos theta of pion CM Frame vs phi angle in CM Frame W 1-31.gif

Cos theta of pion CM Frame vs phi angle in CM Frame W 1-33.gif



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
Cos theta of pion CM Frame vs phi angle in CM Frame W 1-35.gif Cos theta of pion CM Frame vs phi angle in CM Frame W 1-37.gif Cos theta of pion CM Frame vs phi angle in CM Frame W 1-39.gif Cos theta of pion CM Frame vs phi angle in CM Frame W 1-41.gif

Cos theta of pion CM Frame vs phi angle in CM Frame W 1-43.gif


Phi_angle_in_CM_Frame for 1.44<W<1.46

[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 W 1-45.gif Phi angle in CM Frame cos theta 0-6 0-8 W 1-45.gif Phi angle in CM Frame cos theta 0-4 0-6 W 1-45.gif Phi angle in CM Frame cos theta 0-2 0-4 W 1-45.gif

Phi angle in CM Frame cos theta 0 0-2 W 1-45.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 W 1-45.gif Phi angle in CM Frame cos theta -0-6 -0-8 W 1-45.gif Phi angle in CM Frame cos theta -0-4 -0-6 W 1-45.gif Phi angle in CM Frame cos theta -0-2 -0-4 W 1-45.gif

Phi angle in CM Frame cos theta 0 -0-2 W 1-45.gif


Phi_angle_CM_Frame_vs_Relative_Rate for Missing Mass equal to 1.45 GeV

[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 vs Relative Rate cos theta 0-8 1 W 1-45.jpg Phi angle in CM Frame vs Relative Rate cos theta 0-6 0-8 W 1-45.jpg Phi angle in CM Frame vs Relative Rate cos theta 0-4 0-6 W 1-45.jpg Phi angle in CM Frame vs Relative Rate cos theta 0-2 0-4 W 1-45.jpg

Phi angle in CM Frame vs Relative Rate cos theta 0 0-2 W 1-45.jpg



[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 vs Relative Rate cos theta -0-6 -0-8 W 1-45.jpg Phi angle in CM Frame vs Relative Rate cos theta -0-4 -0-6 W 1-45.jpg Phi angle in CM Frame vs Relative Rate cos theta -0-2 -0-4 W 1-45.jpg

Phi angle in CM Frame vs Relative Rate cos theta 0 -0-2 W 1-45.jpg


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]0.9\lt M_x\lt 1.1[/math], [math]1.1\lt W\lt 1.5[/math] )
1 Pion theta angle vs phi angle in cm frame before cuts sector 1.gif Pion theta angle vs phi angle in cm frame after cuts sector 1.gif
2 Pion theta angle vs phi angle in cm frame before cuts sector 2.gif Pion theta angle vs phi angle in cm frame after cuts sector 2.gif
3 Pion theta angle vs phi angle in cm frame before cuts sector 3.gif Pion theta angle vs phi angle in cm frame after cuts sector 3.gif
4 Pion theta angle vs phi angle in cm frame before cuts sector 4.gif Pion theta angle vs phi angle in cm frame after cuts sector 4.gif
5 Pion theta angle vs phi angle in cm frame before cuts sector 5.gif Pion theta angle vs phi angle in cm frame after cuts sector 5.gif
6 Pion theta angle vs phi angle in cm frame before cuts sector 6.gif Pion theta angle vs phi angle in cm frame after cuts sector 6.gif



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\lt M_x\lt 1.1[/math], [math]1.1\lt W\lt 1.5[/math] )
1 Pion theta angle vs phi angle in cm frame after cuts pion sector 1.gif
2 Pion theta angle vs phi angle in cm frame after cuts pion sector 2.gif
3 Pion theta angle vs phi angle in cm frame after cuts pion sector 3.gif
4 Pion theta angle vs phi angle in cm frame after cuts pion sector 4.gif
5 Pion theta angle vs phi angle in cm frame after cuts pion sector 5.gif
6 Pion theta angle vs phi angle in cm frame after cuts pion sector 6.gif


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