https://wiki.iac.isu.edu/index.php?action=history&feed=atom&title=Isotropic_Weighted_Moller_Distribution_in_GEMC
Isotropic Weighted Moller Distribution in GEMC - Revision history
2026-05-09T05:22:33Z
Revision history for this page on the wiki
MediaWiki 1.35.2
https://wiki.iac.isu.edu/index.php?title=Isotropic_Weighted_Moller_Distribution_in_GEMC&diff=111006&oldid=prev
Vanwdani: Created page with "===Isotropic in CM=== Assuming a 1cm long target of LH2 where around 2% of the incident electrons will result in a Moller electron, <pre> TH1F *Combo=new TH1F("Layer1binsMollerR…"
2016-12-30T20:14:52Z
<p>Created page with "===Isotropic in CM=== Assuming a 1cm long target of LH2 where around 2% of the incident electrons will result in a Moller electron, <pre> TH1F *Combo=new TH1F("Layer1binsMollerR…"</p>
<p><b>New page</b></p><div>===Isotropic in CM===<br />
Assuming a 1cm long target of LH2 where around 2% of the incident electrons will result in a Moller electron,<br />
<br />
<pre><br />
TH1F *Combo=new TH1F("Layer1binsMollerRate","Layer1binsMollerRate",113,0,113);<br />
Combo->Add(Layer1binsWeighted,23.8);<br />
Combo->Draw();<br />
</pre><br />
<br />
<center>[[File:Layer1binsMollerRate.png]]</center><br />
<br />
<br />
<br />
<center><math>\frac{2003912\ Moller\ Events\ in\ Range}{.30\ Moller\ Events\ in\ Range\ per\ Moller\ Electron}=6.68\times 10^6\ Moller\ electrons</math></center><br />
<br />
<br />
<center><math>\frac{6.68\times 10^6\ Moller\ electrons}{.02\ Moller\ Events\ \ per\ Incident\ Electron}=3.34\times 10^8\ Incident\ electrons</math></center><br />
<br />
<br />
<br />
<center><math>\sigma=\frac{N_{Moller}}{N_{incident}\cdot \rho \ell}=\frac{.02\ barn}{4.2\times 10^{-2}}=.48\ barn</math></center><br />
<br />
<br />
<br />
<center><math>\mathcal{L}=N_{incident}\ \rho \ell=3.34\times 10^8\ Incident\ electrons \cdot 4.2\times 10^{-2}=\frac{1.40\times 10^{7}\ electrons}{barn \cdot s}</math></center><br />
<br />
<br />
Assuming a 5cm long target of LH2 where around 2% of the incident electrons will result in a Moller electron,<br />
<br />
<pre><br />
TH1F *Combo=new TH1F("Layer1binsMollerRate","Layer1binsMollerRate",113,0,113);<br />
Combo->Add(Layer1binsWeighted,4.76);<br />
Combo->Draw();<br />
</pre><br />
<br />
<center>[[File:Layer1binsMollerRate_2.png]]</center><br />
<br />
<br />
<br />
<center><math>\frac{400782\ Moller\ Events\ in\ Range}{.30\ Moller\ Events\ in\ Range\ per\ Moller\ Electron}=1.34\times 10^6\ Moller\ electrons</math></center><br />
<br />
<br />
<center><math>\frac{1.34\times 10^6\ Moller\ electrons}{.02\ Moller\ Events\ \ per\ Incident\ Electron}=6.67\times 10^7\ Incident\ electrons</math></center><br />
<br />
<br />
<br />
<center><math>\sigma=\frac{N_{Moller}}{N_{incident}\cdot \rho \ell}=\frac{.02\ barn}{2.1\times 10^{-1}}=.095\ barn</math></center><br />
<br />
<br />
<center><math>\mathcal{L}=N_{incident}\ \rho \ell=6.67\times 10^7\ Incident\ electrons \cdot 2.1\times 10^{-1}=\frac{1.40\times 10^{7}\ electrons}{barn \cdot s}</math></center><br />
<br />
===Isotropic in Lab===<br />
Assuming a 1cm long target of LH2 where around 2% of the incident electrons will result in a Moller electron,<br />
<br />
<pre><br />
TH1F *Combo=new TH1F("Layer1binsMollerRate","Layer1binsMollerRate",113,0,113);<br />
Combo->Add(Layer1binsWeighted,23.8);<br />
Combo->Draw();<br />
</pre><br />
<br />
<center>[[File:Layer1binsMollerRateIsotropic.png]]</center><br />
<br />
<br />
<br />
<center><math>\frac{833000\ Moller\ Events\ in\ Range}{.30\ Moller\ Events\ in\ Range\ per\ Moller\ Electron}=2.78\times 10^6\ Moller\ electrons</math></center><br />
<br />
<br />
<center><math>\frac{2.78\times 10^6\ Moller\ electrons}{.02\ Moller\ Events\ \ per\ Incident\ Electron}=1.39\times 10^8\ Incident\ electrons</math></center><br />
<br />
<br />
<br />
<center><math>\sigma=\frac{N_{Moller}}{N_{incident}\cdot \rho \ell}=\frac{.02\ barn}{4.2\times 10^{-2}}=.48\ barn</math></center><br />
<br />
<br />
<br />
<center><math>\mathcal{L}=N_{incident}\ \rho \ell=3.34\times 10^8\ Incident\ electrons \cdot 4.2\times 10^{-2}=\frac{5.83\times 10^{6}\ electrons}{barn \cdot s}</math></center><br />
<br />
<br />
Assuming a 5cm long target of LH2 where around 2% of the incident electrons will result in a Moller electron,<br />
<br />
<pre><br />
TH1F *Combo=new TH1F("Layer1binsMollerRate","Layer1binsMollerRate",113,0,113);<br />
Combo->Add(Layer1binsWeighted,4.76);<br />
Combo->Draw();<br />
</pre><br />
<br />
<center>[[File:Layer1binsMollerRate_2Isotropic.png]]</center><br />
<br />
<br />
<br />
<center><math>\frac{166600\ Moller\ Events\ in\ Range}{.30\ Moller\ Events\ in\ Range\ per\ Moller\ Electron}=5.55\times 10^5\ Moller\ electrons</math></center><br />
<br />
<br />
<center><math>\frac{5.55\times 10^5\ Moller\ electrons}{.02\ Moller\ Events\ \ per\ Incident\ Electron}=2.78\times 10^7\ Incident\ electrons</math></center><br />
<br />
<br />
<br />
<center><math>\sigma=\frac{N_{Moller}}{N_{incident}\cdot \rho \ell}=\frac{.02\ barn}{2.1\times 10^{-1}}=.095\ barn</math></center><br />
<br />
<br />
<center><math>\mathcal{L}=N_{incident}\ \rho \ell=6.67\times 10^7\ Incident\ electrons \cdot 2.1\times 10^{-1}=\frac{5.83\times 10^{6}\ electrons}{barn \cdot s}</math></center></div>
Vanwdani