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

Abstract

Recently, the deformed μ-Bose gas model based on so called μ-deformed oscillators was proposed. For that model, the intercepts of r-particle momentum correlation functions (correlation functions at coinciding momenta of particles) were treated for r=2,3, within certain order of approximation in μ. In this work, we derive for μ-Bose gas model the {\it exact} expressions for r-particle correlation function intercepts, for all r, through Lerch transcendent and find their asymptotics (as functions of μ). For 2-, 3-particle intercepts and deformed distribution function <a^†_k a_k> the dependence on particles momentum is presented graphically.

arXiv comment11 pages, 4 figures; v2: minor changes, one reference added, published in PLA

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• New Deformed Heisenberg Algebra from the $\mu$-Deformed Model of Dark Matter
• Multiparticle distributions and intercepts of $r$-particle correlation functions in the symmetric Tamm-Dancoff type $q$-Bose gas model
• The $\mu$-deformed Einstein field equations with $\mu$-dependent effective cosmological constant
• Statistics effects in extremal black holes ensemble