Yields and Asymmetry for different detectors configurations.

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Follow are some Monte Carlo simulations of 2n correlations. One neutron are from one FF, two neutrons per fission. No accidental neutron was considered, all neutrons are correlated. Total 10M events was simulated. Every neutron was sampled up to 10 MeV. The polarization of gammas are zero.


Below is cos(Theta) of neutrons a and b in LAB frame. No energy cuts was made.

The spectrum is a convolution of the "initial" spectrum which the FF emits, and the kinematic effects due to the fragment recoil

Cos theta 1n nocut.png


Below is the same spectrum, but made with 2 MeV energy cuts.

Cos theta 1n cut1.png


Lets do some geometry cuts

Geometry sketches for different cuts

Geometry cuts 1.jpg

Some results of 2n simulations for different cuts.

Table 2n yields.png

In the table above are:

  • cut1: 2 Mev energy cuts
  • cut2: 2 Mev energy cuts. Plus angle cuts for each neutrons [math]|cos(\Theta_{a,b})\lt 0.42|[/math]. That is detectors located in the plane perpendicular to the beam
  • cut3: 2 Mev energy cuts. Plus angle cuts for each neutrons [math]|cos(\Theta_{a,b})\gt 0.9|[/math]. That is detectors located in the plane parallel to the beam


  • cnts_nn_180: counts with angle between two neutrons are: [math]cos(\Theta_{nn})\lt -0.9[/math]. Anti-parallel neutrons.
  • cnts_nn_0: counts with angle between two neutrons are: [math]cos(\Theta_{nn})\gt 0.9[/math]. Parallel neutrons.


As we can see:

  1. The best case is, of cause, [math]4\pi[/math] geometry. Here:
    • with no energy cuts. Total yield is 100 %. Asymmetry yield is about 13 %. Asymmetry of 2n correlations is about 9.
    • 2 MeV energy cuts. Total yield is about 12 %. Asymmetry yield is about 2 %. Asymmetry of 2n correlations is about 65.
  2. The next good case is detectors located in the plane perpendicular to the beam.
    • Total yield is about 3 %. Asymmetry yield is about 0.9 %. Asymmetry of 2n correlations is about 82.
  3. The worst case is detectors located in the plane parallel to the beam.
    • Total yield is about 0.08 %. Asymmetry yield is about 0.05 %. Asymmetry of 2n correlations is about 30.

And let see how the 2n correlations looks like for different cuts

  • No energy cuts. Total yield is 100 %. Asymmetry yield is about 13 %. Asymmetry of 2n correlations is about 9.

Cos theta 2n nocut.png


  • 2 MeV energy cuts. Total yield is about 12 %. Asymmetry yield is about 2 %. Asymmetry of 2n correlations is about 65.

Cos theta 2n cut1.png


  • 2 Mev energy cuts. Plus angle cuts for each neutrons [math]|cos(\Theta_{a,b})\lt 0.42|[/math]. Total yield is about 3 %. Asymmetry yield is about 0.9 %. Asymmetry of 2n correlations is about 82.

Cos theta 2n cut2.png


  • 2 MeV energy cuts. Plus angle cuts for each neutrons [math]|cos(\Theta_{a,b})\lt 0.9|[/math]. Total yield is about 0.08 %. Asymmetry yield is about 0.05 %. Asymmetry of 2n correlations is about 30.

Cos theta 2n cut3.png