Combined Analysis of Two- and Three-Particle Correlations in q,p-Bose Gas Model
q-deformed oscillators and the q-Bose gas model enable effective description of the observed non-Bose type behavior of the intercept (''strength'') λ⁽²⁾ ≡ C⁽²⁾(K,K) - 1 of two-particle correlation function C⁽²⁾(p1,p2) of identical pions produced in heavy-ion collisions. Three- an...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2006 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2006
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/146107 |
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| Zitieren: | Combined Analysis of Two- and Three-Particle Correlations in q,p-Bose Gas Model / A.M. Gavrilik // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 43 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862590883159867392 |
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| author | Gavrilik, A.M. |
| author_facet | Gavrilik, A.M. |
| citation_txt | Combined Analysis of Two- and Three-Particle Correlations in q,p-Bose Gas Model / A.M. Gavrilik // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 43 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | q-deformed oscillators and the q-Bose gas model enable effective description of the observed non-Bose type behavior of the intercept (''strength'') λ⁽²⁾ ≡ C⁽²⁾(K,K) - 1 of two-particle correlation function C⁽²⁾(p1,p2) of identical pions produced in heavy-ion collisions. Three- and n-particle correlation functions of pions (or kaons) encode more information on the nature of the emitting sources in such experiments. And so, the q-Bose gas model was further developed: the intercepts of n-th order correlators of q-bosons and the n-particle correlation intercepts within the q,p-Bose gas model have been obtained, the result useful for quantum optics, too. Here we present the combined analysis of two- and three-pion correlation intercepts for the q-Bose gas model and its q,p-extension, and confront with empirical data (from CERN SPS and STAR/RHIC) on pion correlations. Similar to explicit dependence of λ⁽²⁾ on mean momenta of particles (pions, kaons) found earlier, here we explore the peculiar behavior, versus mean momentum, of the 3-particle correlation intercept λ⁽³⁾(K). The whole approach implies complete chaoticity of sources, unlike other joint descriptions of two- and three-pion correlations using two phenomenological parameters (e.g., core-halo fraction plus partial coherence of sources).
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| first_indexed | 2025-11-27T05:50:46Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-146107 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-27T05:50:46Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
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| spelling | Gavrilik, A.M. 2019-02-07T13:33:58Z 2019-02-07T13:33:58Z 2006 Combined Analysis of Two- and Three-Particle Correlations in q,p-Bose Gas Model / A.M. Gavrilik // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 43 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 81R50; 81V99; 82B99 https://nasplib.isofts.kiev.ua/handle/123456789/146107 q-deformed oscillators and the q-Bose gas model enable effective description of the observed non-Bose type behavior of the intercept (''strength'') λ⁽²⁾ ≡ C⁽²⁾(K,K) - 1 of two-particle correlation function C⁽²⁾(p1,p2) of identical pions produced in heavy-ion collisions. Three- and n-particle correlation functions of pions (or kaons) encode more information on the nature of the emitting sources in such experiments. And so, the q-Bose gas model was further developed: the intercepts of n-th order correlators of q-bosons and the n-particle correlation intercepts within the q,p-Bose gas model have been obtained, the result useful for quantum optics, too. Here we present the combined analysis of two- and three-pion correlation intercepts for the q-Bose gas model and its q,p-extension, and confront with empirical data (from CERN SPS and STAR/RHIC) on pion correlations. Similar to explicit dependence of λ⁽²⁾ on mean momenta of particles (pions, kaons) found earlier, here we explore the peculiar behavior, versus mean momentum, of the 3-particle correlation intercept λ⁽³⁾(K). The whole approach implies complete chaoticity of sources, unlike other joint descriptions of two- and three-pion correlations using two phenomenological parameters (e.g., core-halo fraction plus partial coherence of sources). The author is grateful to Professor R. Jagannathan for sending a copy of his paper. This work is partially supported by the Grant 10.01/015 of the State Foundation of Fundamental Research of Ukraine. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Combined Analysis of Two- and Three-Particle Correlations in q,p-Bose Gas Model Article published earlier |
| spellingShingle | Combined Analysis of Two- and Three-Particle Correlations in q,p-Bose Gas Model Gavrilik, A.M. |
| title | Combined Analysis of Two- and Three-Particle Correlations in q,p-Bose Gas Model |
| title_full | Combined Analysis of Two- and Three-Particle Correlations in q,p-Bose Gas Model |
| title_fullStr | Combined Analysis of Two- and Three-Particle Correlations in q,p-Bose Gas Model |
| title_full_unstemmed | Combined Analysis of Two- and Three-Particle Correlations in q,p-Bose Gas Model |
| title_short | Combined Analysis of Two- and Three-Particle Correlations in q,p-Bose Gas Model |
| title_sort | combined analysis of two- and three-particle correlations in q,p-bose gas model |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146107 |
| work_keys_str_mv | AT gavrilikam combinedanalysisoftwoandthreeparticlecorrelationsinqpbosegasmodel |