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

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[[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]]
|-
| 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>


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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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