Difference between revisions of "Neutron Polarimeter"
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relative:<br> | relative:<br> | ||
− | <math>\frac{\delta T_{\gamma}}{T_{\gamma}} = \frac{1.80\ MeV}{2.051\ 10\ MeV + 1.715} = 8%</math> | + | <math>\frac{\delta T_{\gamma}}{T_{\gamma}} = \frac{1.80\ MeV}{2.051\cdot 10\ MeV + 1.715} = 8%</math> |
[http://wiki.iac.isu.edu/index.php/PhotoFission_with_Polarized_Photons_from_HRRL Go Back] | [http://wiki.iac.isu.edu/index.php/PhotoFission_with_Polarized_Photons_from_HRRL Go Back] |
Revision as of 22:20, 16 June 2010
Analysis of energy dependence
four-vectors algebra
writing four-vectors:
Doing four-vector algebra:
Detector is located at
, so
and visa versa
how it looks
low energy approximation
As we can see from Fig.2 for low energy neutrons (0-21 MeV)
energy dependence of incident photons is linear
Find that dependence. We have:
So, the equation of the line is:
Finally for low energy neutrons (0-21 MeV):
example of error analysis
example 1
Say, we have, 10 MeV neutron with uncertainty 1 MeV, the corresponding uncertainly for photons energy is:
example 2
Say, we have, 1 meter away detector with 1 ns time of flight neutron uncertainly
After some works:
And it follows:
Now say we have 10 MeV neutron. The corresponding time of flight is:
So neutron uncertainty is:
absolute:
relative:
Corresponding photon uncertainty is:
absolute:
relative: