View source for Neutron energy resolution with start signal from NaI detector

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 <math> E_n = \frac{m}{2}\left( \frac{d}{t_n} \right)^2 </math>

 <math> \delta E_n = -\frac{2 \sqrt{2}}{\sqrt{m} d}\ E_n^{3/2} \delta t_n </math>

[[File:Na 22 timing.jpg | 400px]]

* <math> \delta t_n = 15\ ns</math>
* <math> mc^2 = 938\ MeV </math>


 <math> d = 0.5\ m: \ \ \   ( \delta E_n/E_n ) = 0.83\ E_n^{1/2}\ MeV </math>
 <math> d = 0.7\ m: \ \ \   ( \delta E_n/E_n ) = 0.59\ E_n^{1/2}\ MeV </math>
 <math> d = 1.0\ m: \ \ \   ( \delta E_n/E_n ) = 0.42\ E_n^{1/2}\ MeV </math>
 <math> d = 1.5\ m: \ \ \   ( \delta E_n/E_n ) = 0.28\ E_n^{1/2}\ MeV </math>
 <math> d = 2.0\ m: \ \ \   ( \delta E_n/E_n ) = 0.21\ E_n^{1/2}\ MeV </math>

[[File:NaI_energy_resolut.png | 450px]]
[[File:NaI_energy_resolut_4.png | 450px]]