2016
DOI: 10.1103/physrevc.93.065205
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Correlations ofπNpartial waves for multireaction analyses

Abstract: In the search for missing baryonic resonances, many analyses include data from a variety of pionand photon-induced reactions. For elastic πN scattering, however, usually the partial waves of the SAID or other groups are fitted, instead of data. We provide the partial-wave covariance matrices needed to perform correlated χ 2 fits, in which the obtained χ 2 equals the actual χ 2 up to non-linear and normalization corrections. For any analysis relying on partial waves extracted from elastic pion scattering, this … Show more

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Cited by 17 publications
(8 citation statements)
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“…In Ref. [110] the covariance matrices and other fit properties of the SAID single-energy solution are provided. This allows to perform correlated χ 2 fits of the SAID partial-wave amplitudes in a statistically meaningful way such that the contribution to the χ 2 from πN scattering is very close to the true one that one would obtain from fitting to the data.…”
Section: B Numerical Detailsmentioning
confidence: 99%
“…In Ref. [110] the covariance matrices and other fit properties of the SAID single-energy solution are provided. This allows to perform correlated χ 2 fits of the SAID partial-wave amplitudes in a statistically meaningful way such that the contribution to the χ 2 from πN scattering is very close to the true one that one would obtain from fitting to the data.…”
Section: B Numerical Detailsmentioning
confidence: 99%
“…However, a proper unitary multichannel analysis, as done in Ref. [43][44][45], should show the relevance of this channel. One similar case where this has been done is in the N * (1700)(3/2 − ) resonance, which in Ref.…”
Section: Resultsmentioning
confidence: 99%
“…Indeed, other analysis would need to fit the full correlations instead. These quantities, together with other relevant information, have been recently published [14].…”
Section: Statistical Aspectsmentioning
confidence: 99%