Intercepts of the momentum correlation functions in μ-Bose gas model and their asymptotics

Abstract

The so-called μ-deformed oscillator (or μ-oscillator) introduced by A.Jannussis, though possesses rather exotic properties with respect to other better known deformed oscillator models, also has good potential for diverse physical applications. In this paper, the corresponding μ-Bose gas model based on μ-oscillators is explored. Within this model, the intercepts λ^(2)(K) and λ^(3)(K) of two- and three-particle momentum correlation functions are calculated with the goal of possible application for modeling the non-Bose type behavior of the intercepts of two- and three-pion correlations, observed in the experiments on relativistic heavy ion collisions. In derivation of intercepts, different orders of approximation in the deformation parameter μare considered. Our analysis also yields asymptotical behavior of the intercepts λ^(2)(K) and λ^(3)(K). The results for λ^(2)(K) are compared with experimental data, and with earlier known results drawn using other deformed Bose gas models.

9 pages (two column), 3 figures; v.3: abstract, introduction rewritten, the paper rewritten and shortened (one subsection, appendix and table omitted), two references added; v.4: three new formulas (27),(29),(32) with exact results are added, figures redone into two 2-panel ones

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• Exact expressions for the intercepts of r-particle momentum correlation functions in μ-Bose gas model
• Photon Gas at the Planck Scale within the Doubly Special Relativity
• Three-parameter (two-sided) deformation of Heisenberg algebra
• Hermite polynomials and Fibonacci Oscillators
• The $\mu$-deformed Einstein field equations with $\mu$-dependent effective cosmological constant