Least-squares method for deriving reaction differential-cross-section information from measurements performed in diverse neutron fields

Technical Report · Mon Nov 01 04:00:00 EST 1982

DOI:https://doi.org/10.2172/6790228· OSTI ID:6790228

Smith, D L

A generalized least-squares algorithm which refiens a prior multi-group energy-differential neutron-reaction cross-section evaluation by addition of new experimental data is described. Complete covariance information for the prior evaluation and for the new experimentla information is required in this procedure. The result is a revised best-estimate multi-group cross-section evaluation with complete covariance information. The algorithm tests the consistency of the ew and apriori information, and it readily indicates whether the new data significantly improve the knowledge of the differential cross section. These new data need not be specific differential cross sections. Therefore, the experimenter is not limited to measurements which involve only conventional monoenergetic techniques. This opportunity suggests exploration of diverse new experimental methods, e.g., ones which can exploit the high yield and favorable neutron-energy ranges offered by certain unconventional neutron sources which have received little past attention. This method is demonstratedby the detailed analysis of several hypothetical numerical examples. The understanding of the method's potential and limitations which has emerged from the present investigation is discussed.

• Research Organization: Argonne National Lab., IL (USA)
• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 6790228
• Report Number(s): ANL/NDM-77; ON: DE83005642
• Country of Publication: United States
• Language: English

Related Subjects

651715* -- Nuclear Properties & Reactions
A=90-149
Theoretical-- Nuclear Reactions & Scattering-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALGORITHMS
BARYON REACTIONS
CROSS SECTIONS
DATA ANALYSIS
DIFFERENTIAL CROSS SECTIONS
HADRON REACTIONS
LEAST SQUARE FIT
MATHEMATICAL LOGIC
MAXIMUM-LIKELIHOOD FIT
MULTIGROUP THEORY
NEUTRON REACTIONS
NEUTRON TRANSPORT THEORY
NUCLEAR REACTIONS
NUCLEON REACTIONS
NUMERICAL SOLUTION
TRANSPORT THEORY