Difference between revisions of "Number of electron-positron pairs/sec out of Al converte"

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-[http://wiki.iac.isu.edu/index.php/PhotoFission_with_Polarized_Photons_from_HRRL Go Back]
-==LINAC parameters used in calculations==
-) pulse width 50 ps <br>
-) pulse current 50 A <br>
-) repetition rate 300 Hz <br>
-) energy 44 MeV <br><br>
-==Number of electrons/sec on radiator==
-<math> 50\ \frac{Coulomb}{sec} \times \frac{1\cdot e^-}{1.6\cdot 10^{-19}C} \times 50ps \times  300Hz = 4.68 \cdot 10^{12} \frac{e^-}{sec}</math><br><br>
-==Number of photons/sec out of radiator==
- <math>\sigma_{brems}=0.1 photons/electrons/MeV/r.l</math>
- r.l.(Ti) = 3.59 cm
- radiator thickness = 12.5 <math>\mu m</math>
- <math>\frac{12.5\ \mu m}{3.59\ cm} = 3.48 \cdot 10^{-4} \ r.l.</math><br>
- <math>0.1\ \frac{\gamma 's}{(e^- \cdot MeV \cdot r.l.)} \times 3.48 \cdot 10^{-4} r.l. \times 10\ MeV \times 0.47 \cdot 10^{13} \frac{e^-}{sec}=1.63 \cdot 10^{9} \frac{\gamma}{sec}</math><br><br>
- Alex factor is 6.85 %
- <math>1.64 \cdot 10^{9} \frac{\gamma}{sec} \cdot 6.85\ % = 1.12 \cdot 10^{8} \frac{\gamma}{sec}</math><br><br>
-==Number of electron/positron pairs/sec out of Al converter==
- <math>\sigma_{pairs} = 0.5\ \frac{barn}{atoms}</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>

Difference between revisions of "Number of electron-positron pairs/sec out of Al converte"

Latest revision as of 23:31, 29 January 2011

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