Difference between revisions of "Conversion TDC to Energy"

From New IAC Wiki
Jump to navigation Jump to search
Line 22: Line 22:
 
β<sub>n</sub>=v/c
 
β<sub>n</sub>=v/c
  
ɣ<sub>n</sub>=(1-β<sub>n</sub><sup>2</sup>)<sup>-1/2</sup>
+
<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>
 
E<sub>tot</sub>=M<sub>n</sub>ɣ<sub>n</sub>c<sup>2</sup>

Revision as of 17:56, 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.


tn-tɣ=d/v-d/c=d(1/v-1/c)

=> v=1/[(tn-tɣ)/d-1/c]


βn=v/c

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

Etot=Mnɣnc2

Ek=Etot-Mnc2

Data

For data go to Link below:

[1]