D2O bank

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Relative photon flux

Relative photon flux obtained during the experiment using D2O target.

Flux 4111.png

Flux 4126.png

Flux 4138.png

Flux 4148.png

Flux 4161.png

Flux 4162.png

Flux 4164.png

Flux 4185.png

Flux 4186.png

Flux 4187.png

Normalization?

Flux fluctuation over the runs:

run # equivalent 1 corresponds to run 4187, 2 - 4186, 3 - 4185, 4 - 4164, 5 - 4162, 6 - 4161, 7 - 4148, 8 - 4138, 9 - 4126, 10 - 4111.

Flux fluctns.png

RunTime runNum.png

The thing is that the pair spectrometer is sensitive to the low energy background which may be present in the beam (e- beam finite size and, hence, scraping) so the value of the flux may be affected by low energy component. This thing may not be reflected in the number of neutrons detected by the neutron detectors. So, it is arguable that the pair spectrometer can be used for the flux normalization procedure. One has to investigate the energy spectra of the positrons detected.

Neutron energy spectra

Neutron energy spectra restored from all the runs with D2O target are plotted below. Statistical error bars only presented. All the histograms have same number of channels.

Neutron energy D2O bank1.png


Neutron energy D2O bank2.png

Neutron number vs neutron detector central angle is plotted below:

NeutronNum angleD2O.png

Detector efficiency

The main experimental setup used to determine the neutron detection efficiencies is shown below:

Detector layout wrt photon2.png

The relative neutron yield obtained by weighting the D2 photodisintegration cross section by bremsstahlung photon flux and solid angle of each of the detector is plotted below as a function of the neutron kinetic energy recalculated from the photon energy using simple kinematics:

Weighted D2 xsection.png

As an example of the efficiency calculation let's find the efficiency of Det M in terms of the known absolute efficiency of Det E (14%):

For the efficiency calculation see slide 15 of [1]

[math]\frac{\epsilon_E}{\epsilon_M} = \frac{N_n^E \cdot Area_M}{N_n^M \cdot Area_E}[/math], [math]\epsilon_M = \epsilon_E \cdot \frac{N_n^M \cdot Area_E}{N_n^E \cdot Area_M}[/math]

Without regards to the neutron energy range one gets the following:

[math]\frac{0.14}{\epsilon_M} =\frac{5932 \cdot 7.92E-5}{2982 \cdot 5.83E-5}[/math] and, hence, [math]\epsilon_M = 5.1 %[/math]

[math]\epsilon_F = 14.8 %[/math]

However, doing the same calculation fro the rest of the detectors one will get

[math]\epsilon_G = 33.3 %[/math]

[math]\epsilon_H = 113.9 %[/math]

[math]\epsilon_K = 126.6 %[/math]

[math]\epsilon_I = 117.05 %[/math]

In order to get the correct values of the neutron detection efficiency for the detectors I, K and H we did another calibration run where the D2O target was moved towards the neutron detectors as shown below:

DetI calibr setup.png

The solid angles changed and were obtained from the simulation:

[math]\delta \Omega_G = 0.0037 sr[/math]

[math]\delta \Omega_H = 0.0067 sr[/math]

[math]\delta \Omega_K = 0.1 sr[/math]

[math]\delta \Omega_I = 0.099 sr[/math]


The relative neutron yield obtained by weighting the D2 photodisintegration cross section by bremsstahlung photon flux and solid angle of each of the detector is plotted below as a function of the neutron kinetic energy recalculated from the photon energy using simple kinematics:

DetI calibr yield2.png

From the experimental data it was defined the total number of neutrons detected by the neutron detectors I, K and H during the calibration run:

DetG calibr adj d2o.png

DetH calibr adj d2o.png

DetK calibr adj d2o.png

DetI calibr adj d2o.png


Nn(I) = 470

Nn(K) = 3159

Nn(H) = 2063

Nn(G) = 437

Now we can calculate the efficiency of the detectors I, K, G and H in terms of the efficiency of detector E obtained during the regular calibration run:

Det effcy table cumulative2.png


23 5vs156 5.png

Data on the relative effcy using Cf-252 and Co-60

N g det relative effcyDD.png

Energy uncertainty issue

Statistical errors on the number of neutrons per energy bin are not bad, however, big uncertainties in energy come due to the wide width of the photon peak:

Uncertainties neutronEnergy.jpg