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Luminosity and radiation thickness

PVDIS

50uA, 
LH target, 40cm, 0.071g/cm3, X=40/890.4=4.5e-2, Lumi=50e-6/1.6e-19*40*0.071*6.02e23=0.53e39/cm2/s 
LD target, 40cm, 0.169g/cm3, X=40/745.4=5.4e-2, Lumi=50e-6/1.6e-19*40*0.169*6.02e23=1.27e39/cm2/s
Al window, 2*100um, density 2.7g/cm3, X=2*100e-4/8.897=2.25e-3, Lumi=50e-6/1.6e-19*2*100e-4*2.7*6.02e23=1e37/cm2/s

SIDIS He3

15uA
3he(10amg), 40cm, density=10*44.6(amg=mol/m3)*3.016(g/mol)=1.345e-3g/cm3, X=40/(67.42/1.345e-3)=0.8e-3, Lumi=15e-6/1.6e-19*40*1.345e-3*6.02e23=3e36/cm2/s, pol Lumi = 3e36/3 = 1e36cm2/s
GE180 glass window, 2*120um, density 2.76g/cm3, X=2*120e-4/(19.4/2.76)=3.4e-3, Lumi=15e-6/1.6e-19*2*120e-4*2.76*6.02e23=3.74e36/cm2/s
GE180 Aluminosilicate Glass Composition, 
  refer to http://galileo.phys.virginia.edu/research/groups/spinphysics/glass_properties.html
  Molecule 	Composition by weight
     SiO2	 	60.3%
     BaO 	 	18.2%
     Al2O3		14.3%
     CaO 	 	6.5%
     SrO 	 	0.25% 
  Z/A 	                   0.4829 
  radiation thickness 	   19.4246 g/cm2
  radiation thickness 	   7.038 cm
  density                 2.76 g/cm3
  assume Z=17 and A=35,which gives correct Z/A, then we got nuclei luminosity for each window 3.74/2/35=0.054e36/cm2/s

SIDIS proton

I = 100nA, Target = NH3, density of NH3(den) = 0.819 g/cm^3
target thickness (t) = 2.826 cm, packing fraction(PF) = 0.55
NH3 target is immersed in liquid He4, density of LHe4 = 0.145 g/cm^3 at 1K
Luminosity of NH3 = den * t * PF * (I/1.602e-19)*6.022e23 = 0.819*2.826*0.55*(100e-9/1.602e-19)*6.022e23 = 4.785e35/cm2/s
pol Lumi = 4.785e35/17*3 = 0.844e35/cm2/s
Luminosity of LHe4 = den * t * (1-PF) * (I/1.602e-19)*6.022e^23 = 0.145*2.826*0.45*(100e-9/1.602e-19)*6.022e23 = 0.69e35/cm2/s
Luminosity of two LHe4 outside   =  0.145*2*0.432*(100e-9/1.602e-19)*6.022e23 = 0.47e35/cm2/s
Total luminosity = (4.785+0.69+0.47) * 1e35 = 5.945e35/cm2/s
Note: there are several thin Al windows, but their luminosities are small
total length of NH3+LHe4 and two LHe4 outside, 2.826+2*0.432=3.69
average density of NH3+LHe4, (0.819*0.55+0.145*0.45) = 0.5157
average density of NH3+LHe4 and two LHe4 outside, (0.5157*2.826+0.145*2*0.432)/(2.826+2*0.432)=0.43
Composition by weight of NH3+LHe4 and two LHe4 outside
   NH3                   0.819*0.55*2.826/(2.826+2*0.432)/0.43=0.80
   LHe4                  0.145*0.45*2.826/(2.826+2*0.432)/0.43=0.12
   two LHe4 outside      0.145*2*0.432/(2.826+2*0.432)/0.43=0.08
average Z=10*0.80+2*0.12+2*0.08=8.4
average A=17*0.80+4*0.12+4*0.08=14.4
Z/A=0.583
assume Z=7 and A=12,which gives correct Z/A, then we got nuclei luminosity 5.945e35/12=0.495e35/cm2/s

JPsi

3uA
LH target, 15cm, 0.071g/cm3, X=15/890.4=1.7e-2, Lumi=3e-6/1.6e-19*15*0.071*6.02e23=1.2e37/cm2/s
Al window, 2*100um, density 2.7g/cm3, X=2*100e-4/8.897=2.25e-3, Lumi=3e-6/1.6e-19*2*100e-4*2.7*6.02e23=6e35/cm2/s

rate

The result is at /work/halla/solid/evgen

SIDIS e and hadron rate

generated by "collider", the code and script for analyzing result are at https://jlabsvn.jlab.org/svnroot/solid/evgen/collider

The result is here

single particle rate

various particle from vertex is estimated by "eicRate" in our event generator repository. The code and script for analyzing result are at https://jlabsvn.jlab.org/svnroot/solid/evgen/eicRate_20101102 https://jlabsvn.jlab.org/svnroot/solid/evgen/eicRate_20101102/output

rate study

pdf Comparison with 6GeV transversity data by Xin Qian

pptx pdf event generator rate comparison, study by Zhiwen Zhao and Zhihong Ye

pdf study by Nguyen Ton and Xiaochao Zheng (outdated)


other staff

PVDIS Geant4 modeled background from Target

Rates and flux from GEMC for PVDIS follow. Validation against GEANT3 can be found here: Compare_to_geant3_result.

Rates on GEMs for 50uA on LH2. Solid lines are unbaffled, dashed are with lead baffles:

Geant4 truegemrate.png

Flux in EM calorimeter for 50uA on LH2. Solid lines are unbaffled, dashed are with lead baffles. The true rate should be taken from the black lines.

Emflux.png

SIDIS Geant4 modeled background from Target

Sidisgem.png

<math>\pi</math>/e Ratio

See here