Run in GEMC

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Since the LUND file is limited to 75000 particles (225000 lines), the gemc will have to be run in batch mode;

11GeV incident electron

Simulating with GEMC

For an incident electron at 11GeV, the Moller electron in the range of 5 to 40 degrees for the scattering angle Theta, has energies lower than 200MeV.

Mol E Theta Lab Spread.png
~/src/CLAS/GEMC/experiments/eg12/MolrBckGrd/DV/Isotropic_study/LH2_0Sol_0Tor_11GeV_IsotropicPhi_ShieldOut> wc -l LUND_Spread_LH2_IsotropicPhi.LUND 
315000 LUND_Spread_LH2_IsotropicPhi.LUND

Spliting the LUND file into 105 parts of 1000 events, or 3000 lines

split -d -l 3000 -a 3 LUND_Spread_LH2_IsotropicPhi.LUND LH2_0Sol_0Tor_11GeV_IsotropicPhi_ShieldOut_

Naming these files LUND files

prename 's/(LH2_0Sol_0Tor_11GeV_IsotropicPhi_ShieldOut_\d{3})/$1.LUND/' LH2_0Sol_0Tor_11GeV_IsotropicPhi_ShieldOut_*

Placing each of these files into its own directory, within a directory named LH2_0Sol_0Tor_11GeV_IsotropicPhi_ShieldOut

find . -name "*.LUND" -exec sh -c 'mkdir "${1%.*}" ; mv "$1" "${1%.*}" ' _ {} \;

Defining the gcards


<!-- minumal detectors for HB tracking -->

        <detector name="../../../../../../clas12/fc/forwardCarriage" factory="TEXT" variation="original"/>
        <detector name="../../../../../../clas12/dc/dc"            factory="TEXT" variation="ccdb"/>
        <detector name="../../../../../../clas12/ftof/ftof"            factory="TEXT" variation="java"/>
        <!--option name="SCALE_FIELD" value="clas12-torus-big, -1"/-->

        <option name="OUTPUT" value="evio, LH2_0Sol_0Tor_11GeV_IsotropicPhi_ShieldOut_000.evio"/>

        <option name="ALLRAWS" value="dc"/>
        <!--option name="INTEGRATEDDGT" value="DC"/-->
        <option name="INTEGRATEDRAW" value="dc"/>

        <option name="PHYSICS" value="FTFP_BERT + STD + Optical"/>
        <!--option name="PHYSICS" value="STD"/-->

        <option name="BANK_VERBOSITY" value="1"/>
        <option name="HIT_VERBOSITY" value="1"/>
        <option name="LOG_VERBOSITY" value="1"/>
        <option name="G4TRACK_VERBOSITY" value="1"/>
        <option name="G4P_VERBOSITY" value="1"/>
        <option name="GEN_VERBOSITY" value="1"/>
        <option name="SAVE_ALL_MOTHERS" value="2"/>

<!-- Solenoid apparatus and field -->

        <!--detector name="../../../../../../clas12/magnets/solenoid" factory="TEXT" variation="original"/-->
          <!--option name="HALL_FIELD"  value="clas12-solenoid"/-->

<!-- other CLAS detectors -->

       <detector name="../../../../../../clas12/ec/ec"            factory="TEXT" variation="original"/>
       <detector name="../../../../../../clas12/ctof/ctof"            factory="TEXT" variation="original"/>
       <detector name="../../../../../../clas12/htcc/htcc"            factory="TEXT" variation="original"/>
       <detector name="../../../../../../clas12/pcal/pcal"            factory="TEXT" variation="javageom"/>
       <!--detector name="../../../../../../clas12/micromegas/micromegas"  factory="TEXT" variation="original"/-->

<!-- Beamline material -->
         <!--detector name="../../../../../../clas12/beamline/beamline" factory="TEXT" variation="ft"/-->


Using a file to store the needed commands

/src/CLAS/GEMC/source/gemc -USE_GUI=0 -INPUT_GEN_FILE="LUND,MolTest.LUND" -N=100 eg12.gcard

Solenoid off

~/src/CLAS/coatjava-2.4/bin/clas12-reconstruction -i ../files/MolrBckGrd/Molr.evio -config GEOM::new=true -config MAG::torus=1.0 -config MAG::solenoid=0.0 -o ../files/MolrBckGrd/Molr_rec.evio -s DCHB:DCTB:EC:FTOF:EB -config DATA::mc=true

Solenoid ON

~/src/CLAS/coatjava-2.4/bin/clas12-reconstruction -i ../files/MolrBckGrd/Molr.evio -config GEOM::new=true -config MAG::torus=-1.0 -config MAG::solenoid=1.0 -o ../files/MolrBckGrd/Molr_rec.evio -s DCHB:DCTB:EC:FTOF:EB -config DATA::mc=true -config DCTB::useRaster=true

~/src/CLAS/coatjava-2.4/bin/evio-dump -i ../files/MolrBckGrd/Molr_rec.0.evio

Analyzing Results

Using cat to combine the reconstructed particles found using Analysis.groovy, we can output the particle number from the LUND file, Total Energy, scattering angles Theta, and Phi for the generated and reconstructed particles respectively.

For 0T:

571-1    0.12103204139108564  5.232292493596922       9.99999999997547 0.2397734  64.37257     163.2439
23025-3    0.02376743729734356  11.825408412314742       9.999999999978474 0.29301766  89.180336     -164.40204

For 5T:

24726-1    0.08576327895104396  6.223977074710134       9.99999999997547 0.17311224  20.298353     39.036583
19970-3    0.026540097007028158  11.193535798440614       9.999999999969427 0.15106007  49.16122     14.2969885

Converting the particle number per run into the particle number via the LUND file: Multiplying the line number by 3 accounts for the 3 lines per particle in the LUND file. From this LUND particle we find the weight associated with each particle (Specific Energy and angle Theta). To find the number of particles we can use an awk command:

awk 'NR == 1711 { print $6 }' LUND_Spread.LUND

Moller Electron Weights for 11GeV Incident Electron
Particle number Run number LUND Moller electron number Overall LUND particle number Corrected LUND header line number Number of Particles
571 1 571 1713 1711 1097.227223687062
23025 3 69075 207225 207223 25951.273801947842
24726 1 24726 74178 74176 2579.181846387747
19970 3 59910 179730 179728 14255.222465310777

Cross Section

Using the number of expected Moller electrons and the fact that the reaction cross section can be found using the Luminosity we find: Integrating the differential cross-section over the solid angle:

DetectorIntegrationXSect LH2 11GeV.png

4.97493824519086629e+04 barns

Multiplying by the Luminosity, we find:

[math]4.97\times 10^{4} barns \times\frac{1.35\times 10^{11}}{barns\cdot s}=6.71\times 10^{15}\frac{electrons}{s}[/math]
[math]\Rightarrow \sigma=\int\limits_{\theta=0}^{\pi} \int\limits_{\phi=0}^{2\pi} \left(\frac{d\sigma}{d\Omega}\right)\ \sin{\theta}\,d\theta\,d\phi =\frac{N}{\mathcal L}\equiv total\ scattering\ cross\ section[/math]

Since this is just a ratio of detected particles to total particles, this gives the cross section as a relative probablity of a scattering, or reaction, to occur.

For 0T with 11GeV incident electrons:

[math]\Rightarrow \sigma=\frac{27048}{2.48\times 10^{23}}=1.09\times 10^{-19} barns[/math]

For 5T with 11GeV incident electrons:

[math]\Rightarrow \sigma=\frac{16834}{2.48\times 10^{23}}=6.79\times 10^{-20} barns[/math]

5.5GeV incident electron

Mol E Theta Lab Spread half.png

For 0T:

16544-1    0.10778422619732184  5.519947956962607       9.999999999974188 0.19995739  25.982777     96.17941

For 5T:

354-1    0.09640233076149667  5.8423283009263045       9.999999999976643 0.09051078  49.163692     -85.56053
5526-4    0.03948624565299794  9.164813676343726       9.999999999971514 0.12387912  52.14526     50.051956
21892-4    0.02741437437384611  11.000629446532491       9.99999999997668 0.26457193  81.77688     179.14293
Moller Electron Weights for 5.5GeV Incident Electron
Particle number Run number LUND Moller electron number Overall LUND particle number Corrected LUND header line number Number of Particles
16544 1 16544 49632 49630 814.898350440404
354 1 354 1062 1060 556.656736645754
5526 4 22104 66312 66310 937.328333457728
21892 4 87568 262704 262702 8343.893471134810
Full90 halfE MolThetaLab.png

This gives about 4.96e+23 incident electrons

For 0T with 5.5GeV incident electrons:

[math]\Rightarrow \sigma=\frac{814}{4.96\times 10^{23}}=1.64\times 10^{-21} barns[/math]

For 5T with 5.5GeV incident electrons:

[math]\Rightarrow \sigma=\frac{9838}{4.96\times 10^{23}}=1.98\times 10^{-20} barns[/math]