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)

=> v=1/[(t_n-t_ɣ)/d-1/c]

β_n=v/c

ɣ_n=(1-β_n²)^-1/2

E_tot=M_nɣ_nc²

E_k=E_tot-M_nc²

Data