Published October 2011
NDS Staff Publication
Influence of resonance parameters? correlations on the resonance integral uncertainty; 55Mn case
Description
For nuclides with a large number of resonances the covariance matrix of resonance parameters can
become very large and expensive to process in terms of the computation time. By converting covariance
matrix of resonance parameters into covariance matrices of background cross-section in a more or less
coarse group structure a considerable amount of computer time and memory can be saved. The
question is how important is the information that is discarded in the process. First, the uncertainty of
the 55Mn resonance integral was estimated in narrow resonance approximation for different levels of
self-shielding using Bondarenko method by random sampling of resonance parameters according to
their covariance matrices from two different 55Mn evaluations: one from Nuclear Research and
Consultancy Group NRG (with large uncertainties but no correlations between resonances), the other
from Oak Ridge National Laboratory (with smaller uncertainties but full covariance matrix). We have
found out that if all (or at least significant part of the) resonance parameters are correlated, the
resonance integral uncertainty greatly depends on the level of self-shielding. Second, it was shown that
the commonly used 640-group SAND-II representation cannot describe the increase of the resonance
integral uncertainty. A much finer energy mesh for the background covariance matrix would have to be
used to take the resonance structure into account explicitly, but then the objective of a more compact
data representation is lost.