Abstract
A method to account for model deficiencies in nuclear data evaluations in the resonance regime is proposed. The method follows the ideas of Schnabel and coworkers and relies on Gaussian processes with a novel problemadapted ansatz for the covariance matrix of model uncertainties extending the formalism to the energy region of resonances. The method was used to evaluate a set of schematic but realistic neutron reaction data generated by an R-matrix code and a well defined model defect. Using the extended ansatz for model defects the Bayesian evaluation successfully recovered the built-in model defect in size and structure thus demonstrating the applicability of the method.
Highlights
The availability of reliable evaluated nuclear data is an important prerequisite for developments in several fields of science and technology
The method follows the ideas of Schnabel and coworkers and relies on Gaussian processes with a novel problemadapted ansatz for the covariance matrix of model uncertainties extending the formalism to the energy region of resonances
In standard Bayesian evaluations it is assumed that the model is perfect, i.e. σexp=σmod + ∈exp, where σmod and ∈exp are the vectors of model values and experimental errors, respectively
Summary
The availability of reliable evaluated nuclear data is an important prerequisite for developments in several fields of science and technology. There exist always model defects and they have an important impact on evaluations [1, 2] Several attempts for their inclusion were proposed in the past [3, 4]. Schnabel [1] presented a statistically consistent formulation in terms of Gaussian processes, which was applicable for smooth energy dependence of reaction cross sections and more recently for angle differential cross sections [5]. In this contribution we propose an extension of the formalism of model defects for the resonance regime, especially suited for light nuclear systems.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
