Determining the uncertainty of Eγ
To determine the uncertainty in Eγ we pick an angle for the neutron within [, + Δ ] and a momentum of the neutron between [ , + Δ ].
What are reasonable Δand Δ ?
is determined by time of flight.
= 939.565 ± 0.00028
d = 3 ± 0.005 m
t = 50 ± 1 ns
= 0.2c ± 2.2%
= 188MeV/c ± 2.2%
Δcan be determined knowing that the detector is 3 meters away and the dimensions of the detector are 5cm wide by 5cm tall.
Applying the consevation of energy and momentun to the system we come up with three equations: