https://doi.org/10.1051/epjconf/20122700006
Covariance Matrix of a Double-Differential Doppler-Broadened Elastic Scattering Cross Section
1 Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, TN 37831-6171, USA
2 Department of Mechanical, Aerospace and Nuclear Engineering, Rensselaer Polytechnic Institute, NES Bldg. 1-9, 3021 Tibbits Ave., Troy, NY 12180, USA
3 Institut für Neutronenphysik und Reaktortechnik, Forschungszentrum Karlsruhe Gmbh, Postfach 3640, 76021 Karlsruhe, Germany
a e-mail: arbanasg@ornl.gov
Legendre moments of a double-differential Doppler-broadened elastic neutron scattering cross section on 238U are computed near the 6.67 eV resonance at temperature T = 103 K up to angular order 14. A covariance matrix of these Legendre moments is computed as a functional of the covariance matrix of the elastic scattering cross section. A variance of double-differential Doppler-broadened elastic scattering cross section is computed from the covariance of Legendre moments.
Notice: This manuscript has been authored by UT-Battelle, LLC, under contract DE-AC05-00OR22725 with the U.S. Department of Energy. The United States Government retains and the publisher, by accepting the article for publication, acknowledges that the United States Government retains a non-exclusive, paid-up, irrevocable, world-wide license to publish or reproduce the published form of this manuscript, or allow others to do so, for United States Government purposes.
© Owned by the authors, published by EDP Sciences, 2012