Difference between revisions of "Number of electron-positron pairs/sec out of Al converte"
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<math>l = 3.0\ \mu m</math> (by varying width we can vary the yield) | <math>l = 3.0\ \mu m</math> (by varying width we can vary the yield) | ||
− | <math>N_{Al} = \frac{2. | + | <math>N_{Al} = \frac{2.70\ \frac{g}{cm^3} \times 6.02 \cdot 10^{23}\ \frac{atoms}{mol} \times 3.0\ \mu m} {26.98\ \frac{g}{mol}} = 1.81 \cdot 10^{23}\ \frac{\mbox{atoms}}{m^2}</math> |
<math>\frac {1.12 \cdot 10^{8}\ \frac{\gamma}{sec} \times \sigma_{pairs} \times N_{Al}} {f} = 2.96\ \frac{\mbox{pairs}}{\mbox{pulse}} </math> | <math>\frac {1.12 \cdot 10^{8}\ \frac{\gamma}{sec} \times \sigma_{pairs} \times N_{Al}} {f} = 2.96\ \frac{\mbox{pairs}}{\mbox{pulse}} </math> |
Revision as of 23:22, 29 January 2011
LINAC parameters used in calculations
1) pulse width 50 ps
2) pulse current 50 A
3) repetition rate 300 Hz
4) energy 44 MeV
Number of electrons/sec on radiator
Number of photons/sec out of radiator
Alex factor is 6.85 %
Pair production rate
out of Al converter
(by varying width we can vary the yield)
through 1 m of air
Assume air consists entirely from Nitrogen:
Appendix
pair production cross sections in an Al target
Ref. Geant4 and Theoretical Pair Production Cross Sections for 1 MeV - 100 GeV photons in Aluminum. Vakho Makarashvili, December 18, 2007
pair production cross sections in a Nitrogen
Ref. Photon Cross Section, Attenuation Coefficients, and Energy Absorption Coefficients From 10 keV to 100 Gev. J.H.Hubbell. Center for Radiation Research.National Bureau of Standards. Washington, D.C. 20234
Here I just plotted the table above for pair production cross section in (0, 40) MeV energy region