Conversion TDC to Energy

Calculation

t_n: Neutron time of flight

t_ɣ: Gamma time of flight

d: Distance between detector and target.

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

d for unpolarized top detector: d_{unpol_top}=96.25 inches = 244.745 cm.

d for unpolarized side detector: d_{unpol_side}=91.39 inches = 232.131 cm.

t_n-t_ɣ=d/v-d/c=d(1/v-1/c)

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

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

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

E_tot=M_nɣ_nc²

E_k=E_tot-M_nc²

Data

For data go to Link below:

[1]