Internal cumulants for femtoscopy with fixed charged multiplicity

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dc.contributor.authorEggers, H. C.en_ZA
dc.contributor.authorBuschbeck, B.en_ZA
dc.date.accessioned2014-07-07T12:27:46Z
dc.date.available2014-07-07T12:27:46Z
dc.date.issued2013
dc.descriptionCITATION: Eggers, H. C. & Buschbeck, B. 2013. Internal cumulants for femtoscopy with fixed charged multiplicity. Advances in High Energy Physics, 2013, Article ID 230515, doi:10.1155/2013/230515.
dc.descriptionThe original publication is available at https://www.hindawi.com/journals/ahep
dc.description.abstractA detailed understanding of all effects and influences on higher-order correlations is essential. At low charged multiplicity, the effect of a non-Poissonian multiplicity distribution can significantly distort correlations. Evidently, the reference samples with respect to which correlations are measured should yield a null result in the absence of correlations. We show how the careful specification of desired properties necessarily leads to an average-of-multinomials reference sample. The resulting internal cumulants and their averaging over several multiplicities fulfill all requirements of correctly taking into account non-Poissonian multiplicity distributions as well as yielding a null result for uncorrelated fixed-N samples. Various correction factors are shown to be approximations at best. Careful rederivation of statistical variances and covariances within the frequentist approach yields errors for cumulants that differ from those used so far. We finally briefly discuss the implementation of the analysis through a multiple event buffer algorithm.en_ZA
dc.description.urihttps://www.hindawi.com/journals/ahep/2013/230515/
dc.description.versionPublisher's version
dc.format.extent23 pages
dc.identifier.citationEggers, H. C. & Buschbeck, B. 2013. Internal cumulants for femtoscopy with fixed charged multiplicity. Advances in High Energy Physics, 2013, Article ID 230515, doi:10.1155/2013/230515.
dc.identifier.issn1687-7365 (online)
dc.identifier.issn1687-7357 (print)
dc.identifier.otherdoi:10.1155/2013/230515
dc.identifier.urihttp://hdl.handle.net/10019.1/93840
dc.language.isoen
dc.publisherHindawi Publishing Corporation
dc.rights.holderAuthors retain copyright
dc.subjectFemtoscopyen_ZA
dc.subjectCumulantsen_ZA
dc.subjectMultiplicity (Mathematics)en_ZA
dc.subjectPairing correlations (Nuclear physics)en_ZA
dc.subjectProbabilitiesen_ZA
dc.subjectNon-Poissonian multiplicity distributionen_ZA
dc.titleInternal cumulants for femtoscopy with fixed charged multiplicityen_ZA
dc.typeArticle
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