Covariances and parameter confidence intervals from light-element R-matrix evaluations

R-matrix parameter covariances for light elements with A 16 are calculated within the Wigner-Eisenbud multichannel unitary R-matrix theory. We review the theoretical foundation, numerical approach, and determination of the parameter covariances within this approach. We derive the relation between th...

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Bibliographic Details
Published inEPJ Web of Conferences Vol. 281; p. 20
Main Authors Paris, Mark, Hale, Gerald
Format Journal Article Conference Proceeding
LanguageEnglish
Published Les Ulis EDP Sciences 2023
Subjects
Covariance matrix
Light elements
Matrix theory
Parameters
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Summary:R-matrix parameter covariances for light elements with A 16 are calculated within the Wigner-Eisenbud multichannel unitary R-matrix theory. We review the theoretical foundation, numerical approach, and determination of the parameter covariances within this approach. We derive the relation between the parameter variance, as the diagonal elements of the covariance matrix, and the parameter confidence interval based upon the chi-squared distribution. Cross section covariances computed from the parameter confidence intervals are calculated for several compound systems and discussed.
ISSN:2100-014X
2101-6275
2100-014X
DOI:10.1051/epjconf/202328100020