Conversion TDC to Energy

Calculation

t_n: Neutron time of flight

t_ɣ: Gamma time of flight

l: Distance between detector and target

t_n-t_ɣ=l/v-l/c=l(1/v-1/c)

=> v=1/[(t_n-t_ɣ)/l-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

Polarized Case tn -tɣ(ns) 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100