Occupancy for Sector 1

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[math]\textbf{Navigation}[/math]

[math]\vartriangleleft [/math] [math]\triangle [/math] [math]\vartriangleright [/math]


A bash script to run the GEMC simulations is created. tcsh scripts to run root2evio on lds2 is called using sshpass. The lds2 scripts use sshfs The main script on lds3:

BUILD_GEMC_SIMULATION.sh


The 3 scripts on lds2:

first_commands.tcsh

second_commands.tcsh

last_commands.tcsh


LUND File Output

0.1 degree spacing in the Lab frame. CM Frame is not evenly spaced.


MolThetaLab LUND DC limits.pngMolThetaCM LUND DC limits.png

Applying the weight

MolThetaLab DClimits integral.pngCosMolThetaLab weightedDClimits.png


MolThetaCM DClimits weighted rebin integral.pngCosMolThetaCM weightedDClimits.png


Looking at the angles and the associated weight, we can find the sums

Once_Angles_and_weight=3399.930890560805437

Total_Angles_and_weight=1023379.198058736044914


Checking with Mathematica

CrossSectionMathematica1.png


"Integrating" with Cosine term

CrossSectionMathematica2.png

Finding the Cross Section

Using the Cross Section

[math]\sigma \equiv \frac{N_{scattered}}{\mathcal{L}t}[/math]


[math]\sigma \mathcal{L} =\frac{N_{scattered}}{t}[/math]

For a Luminosity of [math]\mathcal{L}=\frac{1.32\times 10^{11}}{barn\cdot s}[/math]


[math]1023379.198058736044914\ barn \frac{1.32\times 10^{11}}{barn\cdot s} =\frac{N_{scattered}}{t}=\frac{1.35\times 10^{17}}{t}[/math]