Difference between revisions of "Verification of Relativistic Components"

From New IAC Wiki
Jump to navigation Jump to search
Line 7: Line 7:
 
Then using the kinematics equations displayed above, used to reverse calculate the scattered electron's momentum and angles.  The root histograms of an incoming 11GeV electron (in blue) are overlaid with the relativistic calculations starting with the Moller electron (Reverse Moller in red) and show good agreement.
 
Then using the kinematics equations displayed above, used to reverse calculate the scattered electron's momentum and angles.  The root histograms of an incoming 11GeV electron (in blue) are overlaid with the relativistic calculations starting with the Moller electron (Reverse Moller in red) and show good agreement.
  
Final Momentums in the Lab Frame
+
 
 +
=Final Momentum in the Lab Frame=
  
 
<center>[[File:FnlMom_backwards.png]][[File:MolMom_reverse.png]]</center>
 
<center>[[File:FnlMom_backwards.png]][[File:MolMom_reverse.png]]</center>

Revision as of 01:19, 2 February 2016

Setup

Verifying that the kinematics are valid, the Moller momentum from GEANT simulations are extracted using

awk '{print $16, $17, $18}' MollerScattering_NH3_Large.dat > Just_Mol_Mom.dat

Then using the kinematics equations displayed above, used to reverse calculate the scattered electron's momentum and angles. The root histograms of an incoming 11GeV electron (in blue) are overlaid with the relativistic calculations starting with the Moller electron (Reverse Moller in red) and show good agreement.


Final Momentum in the Lab Frame

FnlMom backwards.pngMolMom reverse.png

Final Thetas in the Lab Frame

FnlTheta reverse.pngMolTheta reverse.png


Momentum in the CM Frame

FnlMomCM reverse.pngMolMomCM reverse.png

The differences in these plots come from fact that the "Forward" plots come from a GEANT simulation in which a small amount of energy was lost traveling through the target material.


Theta in the CM Frame

FnlThetaCM reverse.pngMolThetaCM reverse.png