Combined Analysis of Two- and Three-Particle Correlations in q,p-Bose Gas Model

• Date: 2006
• Main Author: Gavrilik, A.M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Series: Symmetry, Integrability and Geometry: Methods and Applications
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146107
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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).