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

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=2,3r=2,3, within certain order of approximation in μ. In this work, we derive for μ-Bose gas model the 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 〈ak†ak〉 the dependence on particles momentum is presented graphically.

► Recently, μ-Bose gas model was proposed basing on a set of μ-deformed oscillators.
► In the Letter, we derive exact formulae for intercepts of r-particle correlation functions.
► Taylor series expansions in μ   for the concerned quantities are also obtained.
► For particular r=2r=2 and r=3r=3 cases the analytical results are shown graphically.
► Comparison with existing previous results for μ  - and p,qp,q-Bose gas models is given.