Occupancy for Sector 1

[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.

Applying the weight

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

"Integrating" with Cosine term

Finding the Cross Section

Performing a Riemann sum for [math]-30^{\circ} \lt \phi \lt 30^{\circ}[/math]

Adjust for DC Sector 1 Limits

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].087\ barn \frac{1.32\times 10^{11}}{barn\cdot s} =\frac{N_{scattered}}{t}=\frac{1.15\times 10^{10}}{t}[/math]

Occupancy

LH2_NOSol_0Tor_11GeV_IsotropicPhi_v2_6_ShieldOut

Run

./BUILD_GEMC_SIMULATION.sh 

DVMacro

Clas12Mon

Create hipo file

Move hipo file to clas12mon folder

mv LH2_NOSol_0Tor_11GeV_IsotropicPhi_v2_6_ShieldOut.hipo ~/clas12mon

Run monitor program

./README

Load hipo file

"Press H for hipo"
"Press play"
"Switch to 

Calculating

[math]\sigma_{Moller\ (\theta_{lab} = 5^{\circ}-40^{\circ})}=0.86\ barn[/math]

[math]t_{simulated}=\frac{N_{events}}{\sigma_{events} \Phi \rho \ell}=\frac{96105\ barn \cdot s}{7.87\times 10^{-2} \cdot 1.33\times 10^{11}\ barn}=9.3\times 10^{-6} s[/math]

[math]N_0=\Delta t \cdot R_{events}=\Delta t \cdot \frac{N_{events}}{t_{simulated}}=250\times 10^{-9}\ s \cdot \frac{98181}{9.3\times 10^{-6}\ s}=2639[/math]

[math]Occupancy=\frac{N_{hits}}{N_0}=\frac{N_{hits}}{\Delta t \cdot R_{events}}=\frac{t_{simulated}\cdot N_{hits}}{N_{events}\cdot \Delta t}=[/math]