# Difference between revisions of "Determining the uncertainty of Eγ"

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<math>E_{\gamma}-1877.9-\sqrt{m_n^2+P_n^2}-\sqrt{m_p^2+P_p^2}</math> | <math>E_{\gamma}-1877.9-\sqrt{m_n^2+P_n^2}-\sqrt{m_p^2+P_p^2}</math> | ||

+ | |||

+ | <math>E_{\gamma}-P_ncos(\thata_n)-P_pcos(\theta_p)</math> |

## Revision as of 09:54, 12 June 2008

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 Δ

and Δ ?is determined by time of flight.

Knowns:

= 939.565 ± 0.00028

d = 3 ± 0.005 m

t = 50 ± 1 ns

Fractional Uncertainties

= 0.2c ± 2.2%

= 188MeV/c ± 2.2%

Δ

Δ

can be determined knowing that the detector is 3 meters away and the dimensions of the detector are 5cm wide by 5cm tall.Δ

Applying the consevation of energy and momentun to the system we come up with three equations: