View source for D2O bank

==Relative photon flux==

Relative photon flux obtained during the experiment using D2O target.

[[File:flux_4111.png | 600 px]]

[[File:flux_4126.png | 600 px]]

[[File:flux_4138.png | 600 px]]

[[File:flux_4148.png | 600 px]]

[[File:flux_4161.png | 600 px]]

[[File:flux_4162.png | 600 px]]

[[File:flux_4164.png | 600 px]]

[[File:flux_4185.png | 600 px]]

[[File:flux_4186.png | 600 px]]

[[File:flux_4187.png | 600 px]]

==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.

[[File:flux_fluctns.png | 600 px]]

[[File:runTime_runNum.png | 600 px]]

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.

[[File:neutron_energy_D2O_bank1.png]]


[[File:neutron_energy_D2O_bank2.png]]

Neutron number vs neutron detector central angle is plotted below:

[[File:neutronNum_angleD2O.png | 500 px]]

==Detector efficiency==

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

[[File: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:

[[File:weighted_D2_xsection.png | 600 px]]

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 [https://wiki.iac.isu.edu/images/1/13/Technique_diff_xsect2.pdf]

<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:

[[File: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:

[[File:DetI_calibr_yield2.png | 600 px]]

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:

[[File:detG_calibr_adj_d2o.png | 600 px]]

[[File:detH_calibr_adj_d2o.png | 600 px]]

[[File:detK_calibr_adj_d2o.png | 600 px]]

[[File:detI_calibr_adj_d2o.png | 600 px]]


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:

[[File:det_effcy_table_cumulative2.png | 600 px]]

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

[[File:n_g_det_relative_effcy.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:

[[File:Uncertainties_neutronEnergy.jpg | 500 px]]