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> | |||
[ | [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 | |||
==The phi angle after rotation and transformation to the CM frame== | |||
{| border="1" |cellpadding="20" cellspacing="0 | {| border="1" |cellpadding="20" cellspacing="0 | ||
|- | |- | ||
| electron sector || <math>\varphi_{e}^{CM}</math> || <math>\varphi_{pion}^{CM}</math> | | electron sector || <math>\varphi_{e}^{CM}</math> || <math>\varphi_{pion}^{CM}</math> | ||
|- | |- | ||
| 1 || [[Image: | | 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: | |- | ||
| 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 | |||
|- | |- | ||
| | | 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 | |||
|- | |- | ||
| | | <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.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> | |||
{| 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.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: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> | |||
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> | |||
[ | [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_W_1-45.jpg|500px]]<br> | |||
[[Image: | |||
==cos_theta_pion_CM_Frame_vs_Phi_angle_in_CM_Frame for different W(missing mass) cuts== | |||
[[Image: | {| border="1" |cellpadding="20" cellspacing="0 | ||
[[Image: | |- | ||
[[Image: | | 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: | |- | ||
| [[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> | |||
{| 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> | |||
[[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]
Phi lab [math]\displaystyle{ \varphi^{LAB} }[/math]
The angle is (0, 360).
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] |
| 1 | ||
| 2 | ||
| 3 | ||
| 4 | ||
| 5 | ||
| 6 |
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 |
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
Phi_angle_CM_Frame_vs_Relative_Rate for Missing Mass equal to 1.45 GeV
Pion_theta_angle_in_Lab_Frame_vs_phi_angle_in_CM_Frame