Conversion TDC to Energy

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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)

=> [math]v=\frac{1}{t\lt sub\gt n\lt /sub\gt -\frac{1}{c}}[/math]


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

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

Etot=Mnɣnc2

Ek=Etot-Mnc2

Data

For data go to Link below:

[1]