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Gaussian and non-Gaussian-based Gram-Charlier and Edgeworth expansions for correlations of identical particles in HBT interferometry
Thesis (MSc (Physics))--University of Stellenbosch, 2009.
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| Format: | Thesis |
| Language: | English |
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Stellenbosch : University of Stellenbosch
2009
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| _version_ | 1867613846044147712 |
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| access_status_str | Open Access |
| author | De Kock, Michiel Burger |
| author2 | Eggers, H. C. |
| author_browse | De Kock, Michiel Burger Eggers, H. C. |
| author_facet | Eggers, H. C. De Kock, Michiel Burger |
| author_sort | De Kock, Michiel Burger |
| collection | Thesis |
| dc_rights_str_mv | University of Stellenbosch |
| description | Thesis (MSc (Physics))--University of Stellenbosch, 2009. |
| format | Thesis |
| id | oai:scholar.sun.ac.za:10019.1/3124 |
| institution | Stellenbosch University (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:42:37.450Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository |
| publishDate | 2009 |
| publishDateRange | 2009 |
| publishDateSort | 2009 |
| publisher | Stellenbosch : University of Stellenbosch |
| publisherStr | Stellenbosch : University of Stellenbosch |
| record_format | dspace |
| source_str | SUNScholar — Stellenbosch University Repository |
| spelling | oai:scholar.sun.ac.za:10019.1/3124 Gaussian and non-Gaussian-based Gram-Charlier and Edgeworth expansions for correlations of identical particles in HBT interferometry De Kock, Michiel Burger Eggers, H. C. University of Stellenbosch. Faculty of Science. Dept. of Physics. Intensity interferometry Multiparticle correlations Dissertations -- Physics Theses -- Physics Edgeworth expansions Heavy ion collisions Thesis (MSc (Physics))--University of Stellenbosch, 2009. Hanbury Brown-Twiss interferometry is a correlation technique by which the size and shape of the emission function of identical particles created during collisions of high-energy leptons, hadrons or nuclei can be determined. Accurate experimental datasets of three-dimensional correlation functions in momentum space now exist; these are sometimes almost Gaussian in form, but may also show strong deviations from Gaussian shapes. We investigate the suitability of expressing these correlation functions in terms of statistical quantities beyond the normal Gaussian description. Beyond means and the covariance matrix, higher-order moments and cumulants describe the form and di erence between the measured correlation function and a Gaussian distribution. The corresponding series expansion is the Gram- Charlier series and in particular the Gram-Charlier Type A expansion found in the literature, which is based on a Gaussian reference distribution. We investigate both the Gram-Charlier Type A series as well as generalised forms based on non-Gaussian reference distributions, as well as the related Edgeworth expansion. For testing purposes, experimental data is initially represented by a suite of one-dimensional analytic non-Gaussian distributions. We conclude that the accuracy of these expansions can be improved dramatically through a better choice of reference distribution, suggested by the sign and size of the kurtosis of the experimental distribution. We further extend our investigation to simulated samples of such test distributions and simplify the theoretical expressions for unbiased estimators (k-statistics) for the case of symmetric distributions. 2009-03-04T12:22:40Z 2010-06-01T09:06:56Z 2009-03-04T12:22:40Z 2010-06-01T09:06:56Z 2009-03 Thesis http://hdl.handle.net/10019.1/3124 en University of Stellenbosch application/pdf Stellenbosch : University of Stellenbosch |
| spellingShingle | Intensity interferometry Multiparticle correlations Dissertations -- Physics Theses -- Physics Edgeworth expansions Heavy ion collisions De Kock, Michiel Burger Gaussian and non-Gaussian-based Gram-Charlier and Edgeworth expansions for correlations of identical particles in HBT interferometry |
| title | Gaussian and non-Gaussian-based Gram-Charlier and Edgeworth expansions for correlations of identical particles in HBT interferometry |
| title_full | Gaussian and non-Gaussian-based Gram-Charlier and Edgeworth expansions for correlations of identical particles in HBT interferometry |
| title_fullStr | Gaussian and non-Gaussian-based Gram-Charlier and Edgeworth expansions for correlations of identical particles in HBT interferometry |
| title_full_unstemmed | Gaussian and non-Gaussian-based Gram-Charlier and Edgeworth expansions for correlations of identical particles in HBT interferometry |
| title_short | Gaussian and non-Gaussian-based Gram-Charlier and Edgeworth expansions for correlations of identical particles in HBT interferometry |
| title_sort | gaussian and non gaussian based gram charlier and edgeworth expansions for correlations of identical particles in hbt interferometry |
| topic | Intensity interferometry Multiparticle correlations Dissertations -- Physics Theses -- Physics Edgeworth expansions Heavy ion collisions |
| url | http://hdl.handle.net/10019.1/3124 |
| work_keys_str_mv | AT dekockmichielburger gaussianandnongaussianbasedgramcharlierandedgeworthexpansionsforcorrelationsofidenticalparticlesinhbtinterferometry |