Exact expressions for the intercepts of r-particle momentum correlation functions in μ-Bose gas model

Details Exact expressions for the intercepts of r-particle momentum correlation functions in μ-Bose gas model Exact expressions for the intercepts of r-particle momentum correlation functions in μ-Bose gas model

2012-04-13

arxiv.org/abs/1204.3067v1

Physics

Mathematical Physics

11 pages, 4 figures

Scientific paper

Recently, the deformed \mu-Bose gas model based on a set of so called \mu-deformed oscillators was proposed. Within that model, the intercepts of r-particle momentum correlation functions (correlation functions at coinciding momenta of r particles) were considered for the special cases r=2 and r=3, and the results were obtained by calculation with certain order of approximation in \mu. In the present work, for \mu-Bose gas model we derive exact expressions for r-particle correlation function intercepts for any r>= 2 presenting them in terms of Lerch transcendent, and also find their asymptotical values (the latter depend only on the deformation parameter \mu). For the cases of 2- and 3-particle intercepts, as well as for the deformed distribution function , the explicit dependencies on particles' momentum are found and shown graphically.

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