Cos(Theta) between two correlated neutrons. Unpolarized case.

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

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

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

[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!