Difference between revisions of "Elong-13-09-18"

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(→‎Beam Energy = 11.0 GeV)
(→‎1 Week Measurement)
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====Beam Energy = 11.0 GeV====
 
====Beam Energy = 11.0 GeV====
 +
----
 +
 
[[Image:2013-09-19-one-week-measurement.png]]
 
[[Image:2013-09-19-one-week-measurement.png]]
 +
 +
{| class="wikitable" style="text-align:center; border-collapse:collapse;" border="1"
 +
| style="width: 50px;" | <math><x></math> || style="width: 100px;" | <math>dA_{zz}^{stat}</math> || style="width: 100px;" | <math>dA_{zz}^{sys}</math>
 +
|-
 +
| 0.8 || 0.716E-02 || 0.526E-02
 +
|-
 +
| 0.9 || 0.675E-02 || 0.120E-01
 +
|- 
 +
| 1.0 || 0.525E-02 || 0.249E-03
 +
|- 
 +
| 1.1 || 0.569E-02 || 0.307E-01
 +
|- 
 +
| 1.2 || 0.941E-02 || 0.667E-01
 +
|- 
 +
| 1.3 || 0.140E-01 || 0.924E-01
 +
|- 
 +
| 1.4 || 0.194E-01 || 0.998E-01
 +
|- 
 +
| 1.5 || 0.130E-01 || 0.100E+00
 +
|- 
 +
| 1.6 || 0.124E-01 || 0.100E+00
 +
|- 
 +
| 1.7 || 0.222E-01 || 0.100E+00
 +
|- 
 +
| 1.8 || 0.204E-01 || 0.100E+00
 +
|- 
 +
|}
  
 
====Beam Energy = 8.8 GeV====
 
====Beam Energy = 8.8 GeV====
Line 106: Line 135:
  
 
[[Image:2013-09-19-088-one-week-measurement.png]]
 
[[Image:2013-09-19-088-one-week-measurement.png]]
 +
 +
{| class="wikitable" style="text-align:center; border-collapse:collapse;" border="1"
 +
| style="width: 50px;" | <math><x></math> || style="width: 100px;" | <math>dA_{zz}^{stat}</math> || style="width: 100px;" | <math>dA_{zz}^{sys}</math>
 +
|-
 +
| 0.8 || 0.345E-02 || 0.526E-02
 +
|-
 +
| 0.9 || 0.324E-02 || 0.120E-01
 +
|- 
 +
| 1.0 || 0.387E-02 || 0.249E-03
 +
|- 
 +
| 1.1 || 0.264E-02 || 0.307E-01
 +
|- 
 +
| 1.2 || 0.416E-02 || 0.667E-01
 +
|- 
 +
| 1.3 || 0.565E-02 || 0.924E-01
 +
|- 
 +
| 1.4 || 0.101E-01 || 0.998E-01
 +
|- 
 +
| 1.5 || 0.967E-02 || 0.100E+00
 +
|- 
 +
| 1.6 || 0.131E-01 || 0.100E+00
 +
|- 
 +
| 1.7 || 0.169E-01 || 0.100E+00
 +
|- 
 +
| 1.8 || 0.286E-01 || 0.100E+00
 +
|- 
 +
|}
  
  
Line 113: Line 169:
 
[[Image:2013-09-19-066-one-week-measurement.png]]
 
[[Image:2013-09-19-066-one-week-measurement.png]]
  
 +
{| class="wikitable" style="text-align:center; border-collapse:collapse;" border="1"
 +
| style="width: 50px;" | <math><x></math> || style="width: 100px;" | <math>dA_{zz}^{stat}</math> || style="width: 100px;" | <math>dA_{zz}^{sys}</math>
 +
|-
 +
| 0.8 || 0.146E-02 || 0.526E-02
 +
|-
 +
| 0.9 || 0.141E-02 || 0.120E-01
 +
|- 
 +
| 1.0 || 0.167E-02 || 0.249E-03
 +
|- 
 +
| 1.1 || 0.204E-02 || 0.307E-01
 +
|- 
 +
| 1.2 || 0.377E-02 || 0.667E-01
 +
|- 
 +
| 1.3 || 0.154E-02 || 0.924E-01
 +
|- 
 +
| 1.4 || 0.205E-02 || 0.998E-01
 +
|- 
 +
| 1.5 || 0.268E-02 || 0.100E+00
 +
|- 
 +
| 1.6 || 0.464E-02 || 0.100E+00
 +
|- 
 +
| 1.7 || 0.387E-02 || 0.100E+00
 +
|- 
 +
| 1.8 || 0.476E-02 || 0.100E+00
 +
|- 
 +
|}
  
 
====Beam Energy = 4.4 GeV====
 
====Beam Energy = 4.4 GeV====
Line 119: Line 201:
 
[[Image:2013-09-19-044-one-week-measurement.png]]
 
[[Image:2013-09-19-044-one-week-measurement.png]]
  
 +
{| class="wikitable" style="text-align:center; border-collapse:collapse;" border="1"
 +
| style="width: 50px;" | <math><x></math> || style="width: 100px;" | <math>dA_{zz}^{stat}</math> || style="width: 100px;" | <math>dA_{zz}^{sys}</math>
 +
|-
 +
| 0.8 || 0.906E-03 || 0.526E-02
 +
|-
 +
| 0.9 || 0.782E-03 || 0.120E-01
 +
|- 
 +
| 1.0 || 0.816E-03 || 0.249E-03
 +
|- 
 +
| 1.1 || 0.115E-02 || 0.307E-01
 +
|- 
 +
| 1.2 || 0.153E-02 || 0.667E-01
 +
|- 
 +
| 1.3 || 0.231E-02 || 0.924E-01
 +
|- 
 +
| 1.4 || 0.247E-02 || 0.998E-01
 +
|- 
 +
| 1.5 || 0.108E-02 || 0.100E+00
 +
|- 
 +
| 1.6 || 0.127E-02 || 0.100E+00
 +
|- 
 +
| 1.7 || 0.149E-02 || 0.100E+00
 +
|- 
 +
| 1.8 || 0.234E-02 || 0.100E+00
 +
|- 
 +
|}
  
 
====Beam Energy = 2.2 GeV====
 
====Beam Energy = 2.2 GeV====
Line 124: Line 232:
  
 
[[Image:2013-09-19-022-one-week-measurement.png]]
 
[[Image:2013-09-19-022-one-week-measurement.png]]
 +
 +
{| class="wikitable" style="text-align:center; border-collapse:collapse;" border="1"
 +
| style="width: 50px;" | <math><x></math> || style="width: 100px;" | <math>dA_{zz}^{stat}</math> || style="width: 100px;" | <math>dA_{zz}^{sys}</math>
 +
|-
 +
| 0.8 || 0.954E-03 || 0.526E-02
 +
|-
 +
| 0.9 || 0.895E-03 || 0.120E-01
 +
|- 
 +
| 1.0 || 0.661E-03 || 0.249E-03
 +
|- 
 +
| 1.1 || 0.900E-03 || 0.307E-01
 +
|- 
 +
| 1.2 || 0.135E-02 || 0.667E-01
 +
|- 
 +
| 1.3 || 0.137E-02 || 0.924E-01
 +
|- 
 +
| 1.4 || 0.134E-02 || 0.998E-01
 +
|- 
 +
| 1.5 || 0.119E-02 || 0.100E+00
 +
|- 
 +
| 1.6 || 0.160E-02 || 0.100E+00
 +
|- 
 +
| 1.7 || 0.169E-02 || 0.100E+00
 +
|- 
 +
| 1.8 || 0.220E-02 || 0.100E+00
 +
|- 
 +
|}
  
 
--[[User:Ellie|E. Long]] 21:13, 19 September 2013 (UTC)
 
--[[User:Ellie|E. Long]] 21:13, 19 September 2013 (UTC)

Revision as of 11:12, 20 September 2013

Optimizing Azz in QE and x>1 Range

Beam Energy = 2.2 GeV


HMS

2013-09-18-e022-hms.gif

SHMS

2013-09-18-e022-shms.gif

Beam Energy = 4.4 GeV

HMS

2013-09-18-e044-hms.gif

SHMS

2013-09-18-e044-shms.gif

Beam Energy = 6.6 GeV

HMS

2013-09-18-e066-hms.gif

SHMS

2013-09-18-e066-shms.gif

Beam Energy = 8.8 GeV

HMS

2013-09-18-e088-hms.gif

SHMS

2013-09-18-e088-shms.gif

Beam Energy = 11.0 GeV

HMS

2013-09-18-e110-hms.gif

SHMS

2013-09-18-e110-shms.gif

Optimization Results

Beam Energy = 2.2 GeV

2013-09-19-e022-opt-hms.png2013-09-19-e022-opt-shms.png

Beam Energy = 4.4 GeV

2013-09-19-e044-opt-hms.png2013-09-19-e044-opt-shms.png

Beam Energy = 6.6 GeV

2013-09-19-e066-opt-hms.png2013-09-19-e066-opt-shms.png

Beam Energy = 8.8 GeV

2013-09-19-e088-opt-hms.png2013-09-19-e088-opt-shms.png

Beam Energy = 11.0 GeV

(None for HMS -- rates drop off dramatically by the time it's in a good kinematics range) 2013-09-19-e110-opt-shms.png

Fixed uncertainty due to large asymmetry

Previously, the code was using a simplified <math>\delta A_{zz} = \frac{4}{f \cdot Pzz \sqrt{N}}</math>. This gave all of the above uncertainties, as well as this one:

2013-09-19-old-error.png

Going back through the uncertainty tech note, the assumption of a small asymmetry isn't made until after Eq. 28. Utilizing the full uncertainty (Eq. 28 and 25), <math>\delta A_{zz} = \frac{2}{f \cdot Pzz}\sqrt{\frac{N_{Pol}}{N_u^2}+\frac{N_{Pol}^2}{N_u^3}}</math>, the uncertainties change (very slightly) to:

2013-09-19-new-error.png

Time Scan

Scanning over time and increasing it from 1 day to 2 weeks in intervals of one day, we get:

2013-09-19-time-scan.gif

1 Week Measurement

Given one PAC week, using the SHMS and an 11 GeV beam on an 30% tensor polarized target, we can expect to get a good measurement from <math>0.8 > x > 1.8</math>

Beam Energy = 11.0 GeV

2013-09-19-one-week-measurement.png

<math><x></math> <math>dA_{zz}^{stat}</math> <math>dA_{zz}^{sys}</math>
0.8 0.716E-02 0.526E-02
0.9 0.675E-02 0.120E-01
1.0 0.525E-02 0.249E-03
1.1 0.569E-02 0.307E-01
1.2 0.941E-02 0.667E-01
1.3 0.140E-01 0.924E-01
1.4 0.194E-01 0.998E-01
1.5 0.130E-01 0.100E+00
1.6 0.124E-01 0.100E+00
1.7 0.222E-01 0.100E+00
1.8 0.204E-01 0.100E+00

Beam Energy = 8.8 GeV

2013-09-19-088-one-week-measurement.png

<math><x></math> <math>dA_{zz}^{stat}</math> <math>dA_{zz}^{sys}</math>
0.8 0.345E-02 0.526E-02
0.9 0.324E-02 0.120E-01
1.0 0.387E-02 0.249E-03
1.1 0.264E-02 0.307E-01
1.2 0.416E-02 0.667E-01
1.3 0.565E-02 0.924E-01
1.4 0.101E-01 0.998E-01
1.5 0.967E-02 0.100E+00
1.6 0.131E-01 0.100E+00
1.7 0.169E-01 0.100E+00
1.8 0.286E-01 0.100E+00


Beam Energy = 6.6 GeV

2013-09-19-066-one-week-measurement.png

<math><x></math> <math>dA_{zz}^{stat}</math> <math>dA_{zz}^{sys}</math>
0.8 0.146E-02 0.526E-02
0.9 0.141E-02 0.120E-01
1.0 0.167E-02 0.249E-03
1.1 0.204E-02 0.307E-01
1.2 0.377E-02 0.667E-01
1.3 0.154E-02 0.924E-01
1.4 0.205E-02 0.998E-01
1.5 0.268E-02 0.100E+00
1.6 0.464E-02 0.100E+00
1.7 0.387E-02 0.100E+00
1.8 0.476E-02 0.100E+00

Beam Energy = 4.4 GeV

2013-09-19-044-one-week-measurement.png

<math><x></math> <math>dA_{zz}^{stat}</math> <math>dA_{zz}^{sys}</math>
0.8 0.906E-03 0.526E-02
0.9 0.782E-03 0.120E-01
1.0 0.816E-03 0.249E-03
1.1 0.115E-02 0.307E-01
1.2 0.153E-02 0.667E-01
1.3 0.231E-02 0.924E-01
1.4 0.247E-02 0.998E-01
1.5 0.108E-02 0.100E+00
1.6 0.127E-02 0.100E+00
1.7 0.149E-02 0.100E+00
1.8 0.234E-02 0.100E+00

Beam Energy = 2.2 GeV

2013-09-19-022-one-week-measurement.png

<math><x></math> <math>dA_{zz}^{stat}</math> <math>dA_{zz}^{sys}</math>
0.8 0.954E-03 0.526E-02
0.9 0.895E-03 0.120E-01
1.0 0.661E-03 0.249E-03
1.1 0.900E-03 0.307E-01
1.2 0.135E-02 0.667E-01
1.3 0.137E-02 0.924E-01
1.4 0.134E-02 0.998E-01
1.5 0.119E-02 0.100E+00
1.6 0.160E-02 0.100E+00
1.7 0.169E-02 0.100E+00
1.8 0.220E-02 0.100E+00

--E. Long 21:13, 19 September 2013 (UTC)

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