Difference between revisions of "Number of electron-positron pairs/sec out of Al converte"
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<math>1.64 \cdot 10^{9} \frac{\gamma}{sec} \cdot 6.85\ % = 1.12 \cdot 10^{8} \frac{\gamma}{sec}</math><br><br> | <math>1.64 \cdot 10^{9} \frac{\gamma}{sec} \cdot 6.85\ % = 1.12 \cdot 10^{8} \frac{\gamma}{sec}</math><br><br> | ||
− | == | + | ==Pair production rate== |
+ | |||
+ | ===out of Al converter=== | ||
+ | |||
+ | <math>\sigma_{pairs} = 0.5\ \frac{barns}{atom}</math> | ||
+ | |||
+ | <math>l = 3.0\ \mu m</math> (by varying width we can vary the yield) | ||
+ | |||
+ | <math>N_{Al} = \frac{2.375 \frac{g}{cm^3} \times 6.02 \cdot 10^{23} \frac{atoms}{mol} \times l} {26.98 \frac{g}{mol}} = 1.59 \cdot 10^{23}\ \frac{atoms}{m^2}</math> | ||
+ | |||
+ | <math>\frac {1.12 \cdot 10^{8} \frac{\gamma}{sec} \times \sigma_{pairs} \times N_{Al}} {f} = 2.96\ \frac{pairs}{pulse} </math> | ||
+ | |||
+ | ===through 1 m of air=== | ||
<math>\sigma_{pairs} = 0.5\ \frac{barns}{atom}</math> | <math>\sigma_{pairs} = 0.5\ \frac{barns}{atom}</math> |
Revision as of 06:08, 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
r.l.(Ti) = 3.59 cm
radiator thickness = 12.5
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
(by varying width we can vary the yield)