[math]t_n[/math]: Neutron time of flight
[math]t_{\gamma}[/math]: Gamma time of flight
d: Distance between detector and target.
d for polarized case: [math]d_{pol}[/math] = 91.25 inches = 231.775 cm.
d for unpolarized top detector: [math]d_{unpol top}[/math]=96.25 inches = 244.745 cm.
d for unpolarized side detector: [math]d_{unpol side}[/math]=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]
[math]E_k=E_{tot}-M_nc^2[/math]
For data go to Link below: