Determining the uncertainty of Eγ: Difference between revisions
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t = 50 ± 1 ns | t = 50 ± 1 ns | ||
<math>\frac{\delta_m}{m}</math> = <math>\frac{0.00028}{939.565}</math>=<math>3x10^{-7}</math> | <math>\frac{\delta_m}{m}</math> = <math>\frac{0.00028}{939.565}</math>=<math>3x10^{-7}=3x10^{-5}%</math> | ||
Revision as of 08:37, 12 June 2008
To determine the uncertainty in Eγ we pick an angle for the neutron within [[math]\displaystyle{ \theta_n }[/math], [math]\displaystyle{ \theta_n }[/math] + Δ [math]\displaystyle{ \theta_n }[/math]] and a momentum of the neutron between [[math]\displaystyle{ P_n }[/math], [math]\displaystyle{ P_n }[/math] + Δ [math]\displaystyle{ P_n }[/math]].
What are reasonable Δ[math]\displaystyle{ \theta_n }[/math] and Δ [math]\displaystyle{ P_n }[/math]?
[math]\displaystyle{ P_n }[/math] is determined by time of flight.
Knowns:
[math]\displaystyle{ m_n }[/math] = 939.565 ± 0.00028 [math]\displaystyle{ MeV/c^2 }[/math]
d = 3 ± 0.005 m
t = 50 ± 1 ns
[math]\displaystyle{ \frac{\delta_m}{m} }[/math] = [math]\displaystyle{ \frac{0.00028}{939.565} }[/math]=[math]\displaystyle{ 3x10^{-7}=3x10^{-5}% }[/math]