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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| Дата: | 2006 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
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Інститут математики НАН України
2006
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146107 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
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irk-123456789-1461072019-02-08T01:23:37Z Combined Analysis of Two- and Three-Particle Correlations in q,p-Bose Gas Model Gavrilik, A.M. 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). 2006 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/146107 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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). |
| format |
Article |
| author |
Gavrilik, A.M. |
| spellingShingle |
Gavrilik, A.M. Combined Analysis of Two- and Three-Particle Correlations in q,p-Bose Gas Model Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Gavrilik, A.M. |
| author_sort |
Gavrilik, A.M. |
| title |
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_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_sort |
combined analysis of two- and three-particle correlations in q,p-bose gas model |
| publisher |
Інститут математики НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146107 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT gavrilikam combinedanalysisoftwoandthreeparticlecorrelationsinqpbosegasmodel |
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2023-05-20T17:23:50Z |
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2023-05-20T17:23:50Z |
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1796153201596039168 |