Unresolved Resonances



At higher energies in the heavier isotopes, the resonances get so close together that they can no longer be resolved into separate lines. However, the fluctuations in the cross section in this energy range do lead to important effects, such as self shielding, in some applications (for example, fast breeder reactors). In ENDF-format evaluations, this "unresolved range" is handled by giving average values for the resonance spacing and the various partial widths, together with probability distributions for the spacing and partial widths. These unresolved resonance parameters are used three ways in practice:

  • Infinitely-dilute cross sections: the cross sections that would be measured for a thin sample (which are equivalent to the cross sections that would act in a very dilute mixture) can be calculated using direct integrals over the probability distributions. These calculations are made with codes like RECENT and the RECONR module of NJOY.

  • Self-shielded effective cross sections: effective cross sections for thicker targets or less dilute mixtures show self-shielding effects that can be computed vs temperature and background cross section. These calculations are made with the UNRESR module of NJOY.

  • Probability tables: probability tables for the total cross section and the dependent elastic, fission, and capture cross sections can be used to sample for cross sections in continueous-energy Monte Carlo codes like MCNP. The probability table can be generated using the PURR module of NJOY.


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15 December 2012 T-2 Nuclear Information Service ryxm@lanl.gov