Difference between revisions of "Conversion TDC to Energy"

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<math>\gamma_n=\sqrt{\frac{1}{1-\beta^2}}</math>
 
<math>\gamma_n=\sqrt{\frac{1}{1-\beta^2}}</math>
  
−
E<sub>tot</sub>=M<sub>n</sub>ɣ<sub>n</sub>c<sup>2</sup>
+
<math>E_tot=M_n\gamma_nc^2</math>
  
 
E<sub>k</sub>=E<sub>tot</sub>-M<sub>n</sub>c<sup>2</sup>
 
E<sub>k</sub>=E<sub>tot</sub>-M<sub>n</sub>c<sup>2</sup>

Revision as of 18:46, 31 October 2008

Calculation

tn: Neutron time of flight

tɣ: Gamma time of flight

d: Distance between detector and target.

d for polarized case: dpol = 91.25 inches = 231.775 cm.

d for unpolarized top detector: dunpol_top=96.25 inches = 244.745 cm.

d for unpolarized side detector: dunpol_side=91.39 inches = 232.131 cm.


[math]t_n-t_{\gamma}=\frac{d}{v}-\frac{d}{c}=d(\frac{1}{v}-\frac{1}{c}[/math])

=> [math]v=\frac{1}{\frac{t_n-t_{\gamma}}{d}-\frac{1}{c}}[/math]


[math]\beta_n=\frac{v}{c}[/math]

[math]\gamma_n=\sqrt{\frac{1}{1-\beta^2}}[/math]

[math]E_tot=M_n\gamma_nc^2[/math]

Ek=Etot-Mnc2

Data

For data go to Link below:

[1]

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