Difference between revisions of "Elong-13-04-29"

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:{| class="wikitable" style="text-align:center; border-collapse:collapse;" border="1"
| style="width: 200px;" | <''x''> || style="width: 200px;" | d''A<sub>zz</sub>'' with SHMS || style="width: 200px;" | d''A<sub>zz</sub>'' with HMS
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| style="width: 200px;" | <''x''> || style="width: 200px;" | ''dA<sub>zz</sub>'' with SHMS || style="width: 200px;" | ''dA<sub>zz</sub>'' with HMS || style="width: 200px;" | ''db''<sub>1</sub> with SHMS || style="width: 200px;" | ''db''<sub>1</sub> with HMS
 
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| 0.1 || ??? || ???
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| 0.5 || ??? || ???
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| 0.5 || ??? || ??? || ??? || ???
 
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| 0.75 || ??? || ???
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Revision as of 13:11, 26 April 2013

Rates Update

→ For the plots below, I assume the following:

Target Material ND3
Target Length 3 cm
fdil 6/20
pf 0.8
Pzz 20%
E0 11 GeV
xBjorken 0.1, 0.3, 0.5, 0.75, 1.0
Q2 Variable
θq Calculated
θe' Calculated
E' Calculated
W Calculated
θe' and E' limits were added for each spectrometer
→ Error bars shown are statistical only
→ F1 and F2 are calculated using the Bosted fits, which lets us extend into a higher <x> range
→ It is valid for 0<W<3.2 GeV and 0.2<Q2<5 GeV2
→ The error bars are calculated from:
File:2013-04-29-dAzz.png
2013-04-24-db1d.png


Maximizing Rate (Minimizing Azz)

If we set the spectrometer such that we aim to increase the rate as high as we can, it will get us the lowest (statistically) achievable Azz.

Maximum Rates, Minimum Azz
The settings above give us the highest rates we can achieve, and thus the lowest error bars on Azz. Each of the <x> values is set over the course of 1 PAC-week, allowing us to take any four of the above points.
<x> dAzz with SHMS dAzz with HMS db1 with SHMS db1 with HMS
0.1 ??? ??? ??? ???
0.3 ??? ??? ??? ???
0.5 ??? ??? ??? ???
0.75 ??? ??? ??? ???
1.0 ??? ??? ??? ???

The db1 Problem

→ Since db1 is calculated from 2013-04-24-db1d.png, it is dependent upon F1 → For each of the <x> values that I've been looking at, the following show what the Bosted code produces as a function of Structure Function vs. Q^2 → The two vertical lines indicate the Q 2 values where dAzz has been minimized


Structure Function Map
Structure Function vs. Q 2 for <x>=0.1
Structure Function Map
Structure Function vs. Q 2 for <x>=0.3
Structure Function Map
Structure Function vs. Q 2 for <x>=0.5
Structure Function Map
Structure Function vs. Q 2 for <x>=0.75
Structure Function Map
Structure Function vs. Q 2 for <x>=1.0

Minimizing db1

If we set the spectrometer at the lowest allowed values of F1 (from above), it will get us the lowest (statistically) achievable db1.

Minimum db1
The settings above give us the lowest statistical error bars we can achieve on db1. Each of the <x> values is set over the course of 1 PAC-week, allowing us to take any four of the above points.
<x> dAzz with SHMS dAzz with HMS
0.1 ??? ???
0.3 ??? ???
0.5 ??? ???
0.75 ??? ???
1.0 ??? ???


--E. Long 17:20, 26 April 2013 (UTC)