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Except for the lightest isotopes, elastic, capture, fission, and
sometimes inelastic cross sections show sharp peaks and valleys
due to resonances. For the lighter isotopes, it is practical
to include all the pointwise detail of the cross sections directly
in File 3. Good examples of this approach include carbon, O-16,
and Al-27 in the ENDF/B libraries.
For heavier isotopes, this approach would lead to very large
files with tens of thousands of energy points. ENDF-format
nuclear data evaluations combat this problem by using
resonance cross section formulas to calculate the elastic,
capture, and fission cross sections over a defined "resonance
range." The parameters to use in these formulas are given
in File 2 using MT=151. The ENDF-6 format allows the
following options:
- Single-Level Breit-Wigner
- Multi-Level Breit-Wigner
- Reich-Moore
- Adler-Adler
- Hybrid R-Function
- Generalized R-Matrix
At higher energies and in heavier isotopes, the resonances get
to be so closely spaced that they can no longer be resolved
into separate peaks experimentally. In this "unresolved range,"
the ENDF format provide three ways to provide average resonance
parameters to be used with statistical models from resonance
theory to compute the cross sections:
- Energy-Independent Parameters
- Energy-Independent Parameters with Energy-Dependent Fission
- Energy-Dependent Parameters
The cross sections computed from the resonance formulas have to
be combined with the cross sections given in File 3 to determine
the evaluated cross sections. In most cases, the resonance
energy range in File 3 for the resonance reactions (total,
elastic, fission, capture) will either contain the value zero,
or it will contain small positive and negative values to be
added to the computed resonance cross sections as corrections.
In a few unresolved cases, the unresolved resonance range in
File 3 will contain the actual "infinitely dilute" cross section,
which is to be multiplied by resonance shielding factors
determined from the unresolved-resonance parameters.
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