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	<id>https://wiki.iac.isu.edu/index.php?action=history&amp;feed=atom&amp;title=TD_Ddoverd_2008</id>
	<title>TD Ddoverd 2008 - Revision history</title>
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	<updated>2026-07-12T08:12:36Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.35.2</generator>
	<entry>
		<id>https://wiki.iac.isu.edu/index.php?title=TD_Ddoverd_2008&amp;diff=79345&amp;oldid=prev</id>
		<title>Didbtama at 04:52, 8 December 2012</title>
		<link rel="alternate" type="text/html" href="https://wiki.iac.isu.edu/index.php?title=TD_Ddoverd_2008&amp;diff=79345&amp;oldid=prev"/>
		<updated>2012-12-08T04:52:36Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 04:52, 8 December 2012&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot; &gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Analysis]]&amp;lt;br&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Software]]&amp;lt;br&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=9/5/08=&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=9/5/08=&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Didbtama</name></author>
	</entry>
	<entry>
		<id>https://wiki.iac.isu.edu/index.php?title=TD_Ddoverd_2008&amp;diff=56508&amp;oldid=prev</id>
		<title>Foretony at 18:09, 6 February 2011</title>
		<link rel="alternate" type="text/html" href="https://wiki.iac.isu.edu/index.php?title=TD_Ddoverd_2008&amp;diff=56508&amp;oldid=prev"/>
		<updated>2011-02-06T18:09:30Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 18:09, 6 February 2011&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot; &gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=9/5/08=&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=9/5/08=&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l516&quot; &gt;Line 516:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 515:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;| h3-h2 || [[Image:phi_angle_cm_helicity_difference_for_h3_h2_negative_PT.gif|300px]] || [[Image:phi_angle_cm_helicity_difference_for_h3_h2_positive_PT.gif|300px]]  &lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;| h3-h2 || [[Image:phi_angle_cm_helicity_difference_for_h3_h2_negative_PT.gif|300px]] || [[Image:phi_angle_cm_helicity_difference_for_h3_h2_positive_PT.gif|300px]]  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|}&amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|}&amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[DeltaDoverD_Progress]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Foretony</name></author>
	</entry>
	<entry>
		<id>https://wiki.iac.isu.edu/index.php?title=TD_Ddoverd_2008&amp;diff=56507&amp;oldid=prev</id>
		<title>Foretony: Created page with ' =9/5/08=  == SIDIS Analysis==  a.) Cross-Section comparison  i.) Calculate absolute cross section for &lt;math&gt;\cos(\theta_{pi})&lt;/math&gt; = 0.5,  1 &lt; Q^2 &lt; 4 GeV^2  , W = 1.45 +/- 0.…'</title>
		<link rel="alternate" type="text/html" href="https://wiki.iac.isu.edu/index.php?title=TD_Ddoverd_2008&amp;diff=56507&amp;oldid=prev"/>
		<updated>2011-02-06T18:08:58Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;#039; =9/5/08=  == SIDIS Analysis==  a.) Cross-Section comparison  i.) Calculate absolute cross section for &amp;lt;math&amp;gt;\cos(\theta_{pi})&amp;lt;/math&amp;gt; = 0.5,  1 &amp;lt; Q^2 &amp;lt; 4 GeV^2  , W = 1.45 +/- 0.…&amp;#039;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&lt;br /&gt;
=9/5/08=&lt;br /&gt;
&lt;br /&gt;
== SIDIS Analysis==&lt;br /&gt;
&lt;br /&gt;
a.) Cross-Section comparison&lt;br /&gt;
&lt;br /&gt;
i.) Calculate absolute cross section for &amp;lt;math&amp;gt;\cos(\theta_{pi})&amp;lt;/math&amp;gt; = 0.5,  1 &amp;lt; Q^2 &amp;lt; 4 GeV^2  , W = 1.45 +/- 0.2 GeV&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;{\sigma} = \frac{1}{ L_{int}}dN = \frac{35}{3.3 \times 10^{34}} \times cm^2 = 10.61 \times10^{-34} \times 10^{24} \times [barn] = 1.061 \times 10^{-3} [\mu barn]&amp;lt;/math&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[http://wiki.iac.isu.edu/index.php/Quality_Checks#Luminosity_Calculation_for_NH3.28Ammonia.29_target  Luminosity Calculation]&lt;br /&gt;
&lt;br /&gt;
[[Image:phi_angle_in_CM_Frame_vs_Relative_Rate_cos_theta_0-4_0-6_W_1-45.jpg|400px]] &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
ii.) Plot &amp;lt;math&amp;gt;\phi_{diff}^{CM}&amp;lt;/math&amp;gt;-vs-&amp;lt;math&amp;gt;cos{\theta}_{\pi}^{LAB}&amp;lt;/math&amp;gt; when &amp;lt;math&amp;gt;cos{\theta}_{e}^{CM}&amp;lt;/math&amp;gt; = -0.3  also plot &amp;lt;math&amp;gt;\phi_{diff}^{CM}&amp;lt;/math&amp;gt;-vs- &amp;lt;math&amp;gt;cos{\theta}_{e}^{LAB}&amp;lt;/math&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
As one can see from histograms of the pion_theta_angle_vs_phi_angle_in_CM_Frame and the electron_theta_angle_vs_phi_angle_in_CM_Frame, the pion and electron acceptance in the region of &amp;lt;math&amp;gt;\phi_{diff}^{CM}=180&amp;lt;/math&amp;gt; is nearly zero(significantly low).&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot;  |cellpadding=&amp;quot;20&amp;quot; cellspacing=&amp;quot;0 &lt;br /&gt;
|-&lt;br /&gt;
| electron sector  || pion_theta_angle_vs_phi_angle_in_CM_Frame_after_cuts(EC_inner&amp;gt;0.06, EC_tot/p&amp;gt;0.2, nphe&amp;gt;2.5, &amp;lt;math&amp;gt;0.9&amp;lt;M_x&amp;lt;1.1&amp;lt;/math&amp;gt;, &amp;lt;math&amp;gt;1.1&amp;lt;W&amp;lt;1.5&amp;lt;/math&amp;gt; )  || electron_theta_angle_vs_phi_angle_in_CM_Frame_after_cuts(EC_inner&amp;gt;0.06, EC_tot/p&amp;gt;0.2, nphe&amp;gt;2.5, &amp;lt;math&amp;gt;0.9&amp;lt;M_x&amp;lt;1.1&amp;lt;/math&amp;gt;, &amp;lt;math&amp;gt;1.1&amp;lt;W&amp;lt;1.5&amp;lt;/math&amp;gt; )  &lt;br /&gt;
|-&lt;br /&gt;
| 1 || [[Image:pion_theta_angle_vs_phi_angle_in_cm_frame_after_cuts_e_sector_1.gif|300px]] || [[Image:electron_theta_angle_vs_phi_angle_in_cm_frame_after_cuts_e_sector_1.gif|300px]] &lt;br /&gt;
|-&lt;br /&gt;
| 2 || [[Image:pion_theta_angle_vs_phi_angle_in_cm_frame_after_cuts_e_sector_2.gif|300px]] || [[Image:electron_theta_angle_vs_phi_angle_in_cm_frame_after_cuts_e_sector_2.gif|300px]]&lt;br /&gt;
|-&lt;br /&gt;
| 3 || [[Image:pion_theta_angle_vs_phi_angle_in_cm_frame_after_cuts_e_sector_3.gif|300px]] || [[Image:electron_theta_angle_vs_phi_angle_in_cm_frame_after_cuts_e_sector_3.gif|300px]]&lt;br /&gt;
|-&lt;br /&gt;
| 4 || [[Image:pion_theta_angle_vs_phi_angle_in_cm_frame_after_cuts_e_sector_4.gif|300px]] || [[Image:electron_theta_angle_vs_phi_angle_in_cm_frame_after_cuts_e_sector_4.gif|300px]]&lt;br /&gt;
|-&lt;br /&gt;
| 5 || [[Image:pion_theta_angle_vs_phi_angle_in_cm_frame_after_cuts_e_sector_5.gif|300px]] || [[Image:electron_theta_angle_vs_phi_angle_in_cm_frame_after_cuts_e_sector_5.gif|300px]] &lt;br /&gt;
|-&lt;br /&gt;
| 6 || [[Image:pion_theta_angle_vs_phi_angle_in_cm_frame_after_cuts_e_sector_6.gif|300px]] || [[Image:electron_theta_angle_vs_phi_angle_in_cm_frame_after_cuts_e_sector_6.gif|300px]] &lt;br /&gt;
|-&lt;br /&gt;
|}&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Image:pion_theta_vs_phi_angle_cm_Theta_pion_lab_0_32_3D.gif|300px]][[Image:phi_angle_cm_Theta_pion_lab_0_32_3D.gif|300px]]&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;Q^2&amp;lt;/math&amp;gt;_vs_&amp;lt;math&amp;gt;\phi_{diff}^{CM}&amp;lt;/math&amp;gt; plot shows that the &amp;lt;math&amp;gt;Q^2&amp;lt;/math&amp;gt; cut should not make much difference on &amp;lt;math&amp;gt;\phi_{diff}^{CM}&amp;lt;/math&amp;gt; plot. The cut around &amp;lt;math&amp;gt;1 GeV^2 &amp;lt; Q^2&amp;lt; 2 GeV^2&amp;lt;/math&amp;gt; should reduce the number of pions around 0 and 360 of phi angle.&amp;lt;br&amp;gt; &lt;br /&gt;
&lt;br /&gt;
[[Image:Q_sqrd_vs_phi_angle_in_cm_frame_after_cuts_all_Q.gif|300px]]&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=9/19/08=&lt;br /&gt;
&lt;br /&gt;
==SIDIS Analysis==&lt;br /&gt;
&lt;br /&gt;
a.) Cross-Section comparison&lt;br /&gt;
&lt;br /&gt;
i.) Calculate absolute cross section for &amp;lt;math&amp;gt;\cos(\theta_{pi})&amp;lt;/math&amp;gt; = 0.5,  1 &amp;lt; Q^2 &amp;lt; 4 GeV^2  , W = 1.45 +/- 0.2 GeV&lt;br /&gt;
&lt;br /&gt;
 &amp;lt;math&amp;gt;\frac{d \sigma}{d \Omega^*_{\pi}} = \frac{1.061 \times 10^{-3} [\mu barn]}{0.88} = 0.0012 \ne 2.4&amp;lt;/math&amp;gt;?&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
;Documentation&amp;lt;br&amp;gt; &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The five-fold differential cross section for single pion production is equal to the following:&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:::&amp;lt;math&amp;gt;\frac{\partial^5 \sigma}{\partial E_f \partial \Omega_e \partial {\Omega_{\pi}}^*} = \frac{1}{2 \pi} \Sigma \frac{1}{L_{int} A_{cc} \epsilon_{CC} \Delta W \Delta Q^2 \Delta cos {\theta_{\pi}}^* {\phi_{\pi}}^*} \frac{d(W, Q^2)}{d(E_f, cos \theta_e)}&amp;lt;/math&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The Jacobian term can be given as:&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:::&amp;lt;math&amp;gt;\frac{d(W, Q^2)}{d(E_f, cos \theta_e)} = \frac{2 M_p E_i E_f}{W}&amp;lt;/math&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
:::&amp;lt;math&amp;gt;\frac{\partial^5 \sigma}{\partial E_f \partial \Omega_e \partial {\Omega_{\pi}}^*} = \Gamma_{v}\times \frac{d^2 \sigma}{d {\Omega_{\pi}}^*}&amp;lt;/math&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
where &amp;lt;math&amp;gt;\Gamma_{v}&amp;lt;/math&amp;gt; is the virtual photon flux and can be written as&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:::&amp;lt;math&amp;gt;\Gamma_{v} = \frac{\alpha}{2 \pi^2 Q^2} \frac{(W^2 - {M_p}^2)E_f}{2M_p E_e} \frac{1}{1-\epsilon}&amp;lt;/math&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:::&amp;lt;math&amp;gt;\epsilon = (1 + 2(1+\frac{{\nu}^2}{Q^2})tan^2 \frac{\theta_e}{2})^{-1}&amp;lt;/math&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The reason of having low cross section might be binning&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
In paper they use the following number of bins:&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
 &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot;  |cellpadding=&amp;quot;20&amp;quot; cellspacing=&amp;quot;0 &lt;br /&gt;
|-&lt;br /&gt;
| Variable || Num. Bin || Range  || Bin Size&lt;br /&gt;
|-&lt;br /&gt;
| W || 27 || 1.15 - 1.7 GeV || 20 MeV&lt;br /&gt;
|-&lt;br /&gt;
| &amp;lt;math&amp;gt;Q^2&amp;lt;/math&amp;gt; || 7 || 1.1 - 5.0 &amp;lt;math&amp;gt;GeV^2&amp;lt;/math&amp;gt; || variable&lt;br /&gt;
|-&lt;br /&gt;
| &amp;lt;math&amp;gt;cos {\theta_{\pi}}^*&amp;lt;/math&amp;gt; || 10 || -1.0 - 1.0 || 0.2 &lt;br /&gt;
|-&lt;br /&gt;
| &amp;lt;math&amp;gt;{\phi_{\pi}}^*&amp;lt;/math&amp;gt; || 24 || -180. - 180 || 15&lt;br /&gt;
|}&amp;lt;br&amp;gt;&lt;br /&gt;
Number of bins in my case were 360. &amp;lt;br&amp;gt; &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Number of bins equal is ~24&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Image:phi_angle_in_cm_frame_vs_cross_section_actual_one_cuts_on_MissingMass_W_cos_theta_0-5_nocut_onQsqr.jpg|400px]]&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
When i applied &amp;lt;math&amp;gt;1.6&amp;lt;Q^2&amp;lt;1.84&amp;lt;/math&amp;gt; cut, the number of entries were reduced to 152. &amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
In paper they use liquid-hydrogen unpolarized target(we have NH3 and ND3 polarized). The polarized electron beam current is 8 nA(in our case it is about 6 nA). and luminosity is different too. It also depends on statistics.&lt;br /&gt;
&lt;br /&gt;
ii.) What is smallest angular coverage of EC (8 degrees?)&lt;br /&gt;
Determine phi region where there is no acceptance ( where should we stop plotting data)?&lt;br /&gt;
&lt;br /&gt;
iii.) Asymmetry Calculation&lt;br /&gt;
&lt;br /&gt;
a.) Beam Asymmetry Plot&lt;br /&gt;
&lt;br /&gt;
In order to plot Beam Asymmetry we need to plot for the first time the histogram of the invariant_mass_vs_cross_section. Then determine the structure function fitting the cross section and calculating the beam asymmetry function which is given as :&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
::::: &amp;lt;math&amp;gt;A_{TL^'} = \sqrt{2\epsilon (1 - \epsilon)} \sigma_{LT^'} \times sin{\phi_{\pi}}^*&amp;lt;/math&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
for given cos(theta) of the pion in cm, Q^2 and W invariant mass.&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Choose kinematics ( a single theta and phi point )to max our stats and comparison to paper&lt;br /&gt;
Histogram the following&lt;br /&gt;
&lt;br /&gt;
#Number of e-pi coincidence events, number of FC counts&lt;br /&gt;
# Number of e-pi coincidence events/FC counts&lt;br /&gt;
#Number of e-pi coincidence events/FC count/Pt&lt;br /&gt;
&lt;br /&gt;
for groups of runs  with h_e,P_t = ++, +-, -+, --&lt;br /&gt;
&lt;br /&gt;
table with 4 columns of h_e, P_t and 3 rows of the above histograms&lt;br /&gt;
&lt;br /&gt;
=9/26/08=&lt;br /&gt;
&lt;br /&gt;
==SIDIS Analysis==&lt;br /&gt;
&lt;br /&gt;
1.) make semi-inclusive spectrum:&lt;br /&gt;
&lt;br /&gt;
a.) h&amp;gt;0 Pt&amp;gt;0&lt;br /&gt;
b.) h &amp;gt; 0 pt&amp;lt;0&lt;br /&gt;
c.)h&amp;lt;0 pt&amp;gt;0&lt;br /&gt;
d.)h&amp;lt;0 pt&amp;lt;0&lt;br /&gt;
&lt;br /&gt;
2.) ad up opposite target polarization histograms&lt;br /&gt;
&lt;br /&gt;
3.) subtract h&amp;gt; 0 and h&amp;lt;0 &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Image:electron_beam_helicity_asymmetry_vs_phi_angle_cm_from_paper.gif]]&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
helflag = 1 =&amp;gt; &lt;br /&gt;
&lt;br /&gt;
helflag = 2 =&amp;gt;&lt;br /&gt;
&lt;br /&gt;
helflag = 3 =&amp;gt;&lt;br /&gt;
&lt;br /&gt;
helflag = 4 =&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Image:helcode_1_phi_angle_cm_frame_opposite_target_polarizations_are_added_W_1-4_costhetapionCM_0-1.gif|400px]][[Image:helcode_2_phi_angle_cm_frame_opposite_target_polarizations_are_added_W_1-4_costhetapionCM_0-1.gif|400px]]&lt;br /&gt;
[[Image:helcode_3_phi_angle_cm_frame_opposite_target_polarizations_are_added_W_1-4_costhetapionCM_0-1.gif|400px]][[Image:helcode_4_phi_angle_cm_frame_opposite_target_polarizations_are_added_W_1-4_costhetapionCM_0-1.gif|400px]]&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Image:1_4substructed_helcodes_phi_angle_cm_frame.gif|400px]][[Image:3_2substructed_helcodes_phi_angle_cm_frame.gif|400px]]&amp;lt;br&amp;gt;&lt;br /&gt;
[[Image:1_4sum_helcodes_phi_angle_cm_frame.gif|400px]][[Image:3_2sum_helcodes_phi_angle_cm_frame.gif|400px]]&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Image:1_4substructed_helcodes_phi_angle_cm_frame_xmgrace.jpg|400px]][[Image:3_2substructed_helcodes_phi_angle_cm_frame_xmgrace.jpg|400px]]&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Phi_angle_CM vs Asymmetry==&lt;br /&gt;
&lt;br /&gt;
Compared data(there is no table for asymmetry values like cross section):&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Image:1_4substructed_helcodes_phi_angle_cm_frame_xmgrace_and_results_from.jpg|400px]][[Image:3_2substructed_helcodes_phi_angle_cm_frame_xmgrace_and_results_from.jpg|400px]]&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=11/21/08=&lt;br /&gt;
&lt;br /&gt;
0.) insert run summarry table, Pb, Pt, PB*Pt, Btorus&lt;br /&gt;
&lt;br /&gt;
1.) make semi-inclusive spectrum:&lt;br /&gt;
&lt;br /&gt;
a.) h&amp;gt;0 Pt&amp;gt;0&lt;br /&gt;
&lt;br /&gt;
b.) h &amp;gt; 0 pt&amp;lt;0&lt;br /&gt;
&lt;br /&gt;
c.)h&amp;lt;0 pt&amp;gt;0&lt;br /&gt;
&lt;br /&gt;
d.)h&amp;lt;0 pt&amp;lt;0&lt;br /&gt;
&lt;br /&gt;
2.) helicity difference plots for Pt&amp;gt;0 and Pt&amp;lt;0&lt;br /&gt;
&lt;br /&gt;
3.) Asym plots for Pt&amp;gt;0 and Pt&amp;lt; 0&lt;br /&gt;
&lt;br /&gt;
4.) unpolarized target asymmetry&lt;br /&gt;
&lt;br /&gt;
 Rebin asymmetry hisograms and combine the two into a total asymmetry histogram&lt;br /&gt;
&lt;br /&gt;
==Run Summary Table==&lt;br /&gt;
&lt;br /&gt;
 The table below should have run ranges with &lt;br /&gt;
 &amp;lt;math&amp;gt;P_b*P_t \pm \Delta (P_b *P_t)&amp;lt;/math&amp;gt; according &lt;br /&gt;
 to the elastic asymmetry measurements stored at&lt;br /&gt;
 http://www.jlab.org/Hall-B/secure/eg1/EG2000/eg1b_analysis_progress.htm.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
 http://www.jlab.org/Hall-B/secure/eg1/EG2000/josh/pbpt/&lt;br /&gt;
&lt;br /&gt;
5.73 in&amp;lt;br&amp;gt;&lt;br /&gt;
pos = 0.45743 +/- 0.04269 &amp;lt;br&amp;gt;&lt;br /&gt;
neg = -0.38816 +/- 0.04556 &amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
5.73 out&amp;lt;br&amp;gt;&lt;br /&gt;
pos = 0.46604 +/- 0.03496 &amp;lt;br&amp;gt;&lt;br /&gt;
neg = -0.50684 +/- 0.03578 &amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot;  |cellpadding=&amp;quot;20&amp;quot; cellspacing=&amp;quot;0 &lt;br /&gt;
|-&lt;br /&gt;
| Start Run Number  || Beam Polarization(Pb) || Target Polarization(Pt) from dstdump file || Pb*Pt || Beam Torus || Beam Energy (MeV)&lt;br /&gt;
|-&lt;br /&gt;
| 26998 || 0 || -0.69 || 0.46604 || -2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26996 || -0.71 || -0.69 || 0.46604 || -2250  || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26995 || -0.71 || -0.69 || 0.46604 || -2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26994 || -0.71 || -0.73 || 0.46604 || -2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26993 || -0.71 || -0.72 || 0.46604 || -2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26992 || -0.71 || -0.73 || 0.46604 || -2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26991 || -0.71 || -0.75 || 0.46604 || -2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26990 || -0.71 || -0.76 || 0.46604 || -2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26989 || 0.71 || -0.67 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26988 || 0.71 || -0.68 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26987 || 0.71 || -0.67 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26986 || 0.71 || -0.68 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26985 || 0.71 || -0.68 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26984 || 0.71 || -0.68 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26983 || 0.71 || -0.68 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26981 || 0.71 || -0.68 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26980 || 0.71 || -0.7 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26979 || 0.71 || -0.71 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26966 || 0.71 || 0.74 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26965 || 0.71 || 0.74 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26964 || 0.71 || 0.74 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26963 || 0.71 || 0.74 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26962 || 0.71 || 0.74 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26961 || 0.71 || 0.75 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26960 || 0.71 || 0.76 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26959 || 0.71 || 0.69 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26958 || 0.71 || 0.69 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26957 || 0.71 || 0.69 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26956 || 0.71 || 0.69 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26955 || 0.71 || 0.69 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26954 || 0.71 || 0.69 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26953 || 0.71 || 0.69 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26952 || 0.71 || 0.7 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26951 || 0.71 || 0.7 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26948 || 0.71 || 0.7 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26947 || 0.71 || 0.7 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26946 || 0.71 || 0.7 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26945 || 0.71 || 0.7 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26943 || 0.7 || 0.7 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26942 || 0.7 || 0.7 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26941 || 0.7 || 0.7 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26940 || 0.7 || 0.7 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26939 || 0.7 || 0.7 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26938 || 0.7 || 0.7 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26937 || 0.7 || 0.7 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26934 || 0.7 || 0.7 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26933 || 0.7 || 0.71 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26932 || 0.7 || 0.71 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26931 || 0.7 || 0.71 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26930 || 0.7 || 0.71 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26929 || 0.7 || 0.71 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26928 || 0.7 || 0.72 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26927 || 0.7 || 0.72 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26926 || 0.7 || 0.73 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 26925 || 0.7 || 0.73 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27074 || 0.71 || -0.81 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27075 || 0.71 || -0.77 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27076 || 0.71 || -0.74 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27077 || 0.71 || -0.74 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27078 || 071 || -0.75 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27079 || 0.71 || -0.72 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27100 || 0.71 || 0.76 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27101 || 0.71 || 0.76 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27102 || 0.71 || 0.73 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27105 || 0.61 || 0.73 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27106 || 0.61 || 0.73 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27107 || 0.61 || -0.71 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27108 || 0.61 || -0.7 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27109 || 0.61 || -0.7 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27111 || 0.61 || -0.71 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27112 || 0.61 || -0.69 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27114 || 0.61 || 0 || || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27116 || -0.58 || 0.2 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27124 || -0.7 || 0.24 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27125 || -0.7 || 0.25 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27126 || -0.7 || 0.26 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27127 || -0.7 || 0.26 || -0.38816 || 2250 || 5736 &lt;br /&gt;
|-&lt;br /&gt;
| 27128 || -0.7 || 0.26 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27129 || -0.7 || 0.26 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27131 || -0.7 || 0.26 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27132 || -0.7 || 0.26 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27133 || -0.7 || 0.26 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27134 || -0.7 || 0.26 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27135 || -0.7 || 0.26 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27136 || -0.7 || 0.26 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27137 || -0.7 || 0.25 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27138 || -0.7 || 0.25 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27139 || -0.7 || 0.25 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27141 || -0.7 || 0.25 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27142 || -0.7 || 0.25 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27143 || -0.7 || 0.25 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27145 || -0.7 || 0.24 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27146 || -0.7 || 0.24 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27148 || -0.7 || 0.24 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27149 || -0.7 || -0.09 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27150 || -0.7 || -0.12 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27152 || -0.64 || -0.18 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27153 || -0.64 || -0.19 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27154 || -0.64 || -0.19 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27155 || -0.64 || -0.19 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27156 || -0.64 || -0.19 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27157 || -0.64 || -0.19 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27160 || -0.64 || -0.18 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27161 || -0.64 || -0.18 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27162 || -0.64 || -0.19 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27163 || -0.64 || -0.19 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27165 || -0.64 || -0.19 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27166 || -0.64 || 0.18 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27167 || -0.64 || 0.22 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27168 || -0.64 || 0.23 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27169 || -0.64 || 0.23 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27170 || -0.64 || 0.23 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27171 || -0.64 || 0.23 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27172 || -0.64 || -0.35 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27175 || -0.7 || -0.78 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27176 || -0.7 || -0.72 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27177 || -0.7 || -0.7 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27178 || -0.7 || -0.69 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27179 || -0.7 || -0.67 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27180 || -0.7 || -0.67 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27181 || -0.7 || -0.66 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27182 || -0.7 || -0.72 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27183 || -0.7 || -0.68 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27184 || -0.7 || -0.63 || 0.45743 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27186 || -0.7 || 0.72 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27187 || -0.7 || 0.71 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27188 || -0.7 || 0.71 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27189 || -0.7 || 0.7 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27190 || -0.7 || 0.69 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27191 || -0.7 || 0.69 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27192 || -0.7 || 0.68 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27193 || -0.7 || 0.69 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
|27194 || -0.7 || 0.7 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27195 || -0.7 || 0.69 || -0.38816 || 2250 || 5736&lt;br /&gt;
|-&lt;br /&gt;
| 27113 || 0.61 || 0.68 || 0.45743 || 2250 || 5736&lt;br /&gt;
|}&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Phi_Angle_CM_Frame for Positive and Negative Target Polarization== &lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot;  |cellpadding=&amp;quot;20&amp;quot; cellspacing=&amp;quot;0 &lt;br /&gt;
|-&lt;br /&gt;
| Helcode # || Negative Target Polarization || Positive Target Polarization &lt;br /&gt;
|-&lt;br /&gt;
| 1 h&amp;gt;0|| [[Image:PT_negative_&amp;amp;_helcode_1_phi_angle_cm_frame.gif|300px]] || [[Image:PT_positive_&amp;amp;_helcode_1_phi_angle_cm_frame.gif|300px]] &lt;br /&gt;
|-&lt;br /&gt;
| 2 h&amp;lt;0|| [[Image:PT_negative_&amp;amp;_helcode_2_phi_angle_cm_frame.gif|300px]] || [[Image:PT_positive_&amp;amp;_helcode_2_phi_angle_cm_frame.gif|300px]] &lt;br /&gt;
|-&lt;br /&gt;
| 3 || [[Image:PT_negative_&amp;amp;_helcode_3_phi_angle_cm_frame.gif|300px]] || [[Image:PT_positive_&amp;amp;_helcode_3_phi_angle_cm_frame.gif|300px]] &lt;br /&gt;
|-&lt;br /&gt;
| 4 || [[Image:PT_negative_&amp;amp;_helcode_4_phi_angle_cm_frame.gif|300px]] || [[Image:PT_positive_&amp;amp;_helcode_4_phi_angle_cm_frame.gif|300px]]&lt;br /&gt;
|}&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Helicity Difference Plots for Pt&amp;gt;0 and Pt&amp;lt;0==&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot;  |cellpadding=&amp;quot;20&amp;quot; cellspacing=&amp;quot;0 &lt;br /&gt;
|-&lt;br /&gt;
| Helicity Difference || Negative Target Polarization || Positive Target Polarization &lt;br /&gt;
|-&lt;br /&gt;
| h1-h4 || [[Image:phi_angle_cm_helicity_difference_for_h1_h4_negative_PT.gif|300px]] || [[Image:phi_angle_cm_helicity_difference_for_h1_h4_positive_PT.gif|300px]] &lt;br /&gt;
|-&lt;br /&gt;
| h3-h2 || [[Image:phi_angle_cm_helicity_difference_for_h3_h2_negative_PT.gif|300px]] || [[Image:phi_angle_cm_helicity_difference_for_h3_h2_positive_PT.gif|300px]] &lt;br /&gt;
|}&amp;lt;br&amp;gt;&lt;/div&gt;</summary>
		<author><name>Foretony</name></author>
	</entry>
</feed>