Difference between revisions of "Cos(Theta) between two correlated neutrons. Unpolarized case."

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Below is <math>cos(\Theta)</math> between two correlated neutron. No energy cut was made. Integrated over all energy spectrum.
 
Below is <math>cos(\Theta)</math> between two correlated neutron. No energy cut was made. Integrated over all energy spectrum.
  
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[[File:Cos theta 2n correlated.png | 800 px]]
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[[File:Cos theta 2n correlated.png | 700 px]]
  
  
 
And with <math>E_n > 2\ MeV</math> energy cut.
 
And with <math>E_n > 2\ MeV</math> energy cut.
  
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[[File:Cos theta 2n correlated energy cut.png | 800 px]]
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[[File:Cos theta 2n correlated energy cut.png | 700 px]]
  
  

Revision as of 17:01, 10 June 2011

Below is the energy spectrum of two correlated neutrons in LAB frame. 10 million events. Sampled up to 10 MeV.

Sum 2n energy correlated.png


Below is [math]cos(\Theta)[/math] between two correlated neutron. No energy cut was made. Integrated over all energy spectrum.

Cos theta 2n correlated.png


And with [math]E_n \gt 2\ MeV[/math] energy cut.

Cos theta 2n correlated energy cut.png


[math]Asymmetry = \frac{counts\ cos(\Theta)_{nn} \lt -0.9}{counts\ cos(\Theta)_{nn} \gt 0.9} = frac{209,578}{3,219} = 65.11[/math]
[math]Energy\ Cut\ Yield \frac{counts\ with\ cut}{counts\ without\ cut} = \frac{1,227,505}{10,000,000} = 0.12277[/math]
[math]Asymmetry\ Yield \frac{(counts\ parallel) + (counts\ antiparticle)}{event\ without\ cut} = \frac{209,578 + 3,219}{10,000,000} = 0.02128[/math]


Looks good, but we need big statistics!

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