Intercepts of the momentum correlation functions in the $ \mu$ -Bose gas model and their asymptotics

The so-called μ-deformed oscillator (or μ-oscillator) introduced by A. Jannussis, though it possesses rather exotic properties with respect to other better known deformed oscillator models, also has a good potential for diverse physical applications. In this paper, the corresponding μ-Bose gas model based on μ-oscillators is developed. Within this model, the intercepts l⁽²⁾ \lambda^{{(2)}}_{}(K) and l⁽³⁾ \lambda^{{(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 the derivation of intercepts, a fixed order of approximation in the deformation parameter μ is assumed. For the asymptotics of the intercepts l⁽²⁾ \lambda^{{(2)}}_{}(K) and l⁽³⁾ \lambda^{{(3)}}_{}(K) , we derive exact analytical formulas. The results for l⁽²⁾ \lambda^{{(2)}}_{}(K) are compared with experimental data, and with earlier known results drawn using other deformed Bose gas models.