An estimation of neutron flux in STAR WAH (first round)
I have made a priliminary estimation of neutron flux in WAH based on existing geometry for WAH (Jason), and geant/gcalor version with low kinematical cuts (electons, gamma = 10 keV,
neutron = 1e-13 GeV, charged hadrons = 1MeV). The fluxes have been calculated for pp 510 GeV and BBC rate ~1.2 MHz.
The goals for this study are the following:
- To make an estimation CPU time to process 1 event with the above cuts and for whole STAR WAH.
- To make an estimation neutron, gamma, electron and charged hadron fluxes.
- To make an estimation of rate for a typical neutron He3 counter.
- To see 1/R dependence of charged hadrons and electron flux in TPC to see how well the present model for space charged density corresponds to thes calculation
- The existing WAH geometry is shown below as X- and Y-cuts. It include some elments of tunnel but not all of them. The geometry has to be revisited.
- With present geometry and the above cuts CPU/event is ~1 minute.
- Neutron kinetic energy and fluxes for all neutrons and neutrons with kinetic energy below 250 meV are presented below.
The flux of neutrons in WAH is 100-1000 Hz, and for termal neutrons ~10 Hz.
To estimate couter rate for Centronic 31He3/304/25e counter
- flux = 10 (Hz/cm^2)
- Tempereture (T) = 300 (K)
- Thermal neutron kinetic energy (kT) = 25.8(meV)
- Thermal neutron verlocity v0 = 7.4e-06 (C)
- Thermal neutron cross section (n + He3 -> p + H3) = 5400 * v0/v (barn)
- Centronic 31He3/304/25e counter
- Pressure = 4 (ATM)
- Volume = 152.171 (cm^3)
- Total neutron path length in counter = l = V * flux = 1521.71 (cm * Hz)
- No. interaction per atom = N = l * xsection0 = 8.2e-18 (cm^3 * Hz)
- A = 3 density = A/22.4(10e3 cm^3) = 0.000133929 (g/cm^3)
- No. of atoms in 1 cm^3 = Avogadro/22.4(l) = 1.44531e+20 (1/cm^3)
- counts =120 per neutron flux 1 (Hz/cm^2)
- rate @ flux =10 (Hz/cm^2) = 1.2 (kHz)
Fit by 1/R^n dependense in TPC (|Z|<200 cm) gives n = 1.88.
Fit by 1/R^n dependense in TPC (|Z|<200 cm) gives n = 1.36 and flux from electrons (~5 kHz/cm^2) is factor of 5 higer than flux from charged hadrons (~0.8 kHz/cm^2).
Conclusions.
1. The flux of neutrons in WAH ~1 kHz/cm^2 (for pp 510 GeV with BBC rate ~1.2 MHz). The thermal neutron flux is ~10 Hz/cm^2.
2. A typical rate of He3 counter is 120 Hz @ flux of thermal neutron 1 Hz/cm^2.
3. The flux from charged particles clearly shows two components : one from charged hadrons and another from electrons.
4. CPU processing time for pp 510 GeV @ STAR is ~ 1 minute / event. This is a factor of 60 less that it was for LHC calculation 15 years ago.
I guess that this reflects the first of all a factor 30 in reduction of total energy (510 GeV and 14 TeV).
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