q-BOSON APPROACH TO MULTIPARTICLE CORRELATIONS

Abstract

An approach is proposed enabling one to effectively describe, for relativistic heavy-ion collisions, the observed deviation from unity of the intercept λ (measured value corresponding to zero relative momentum p of two registered identical pions or kaons) of the two-particle correlation function C(p, K). The approach uses q-deformed oscillators and the related picture of ideal gas of q-bosons. In effect, the intercept λ is connected with deformation parameter q. For a fixed value of q, the model predicts specific dependence of λ on pair mean momentum K so that, when |K|≳500–600 MeV/c for pions or when |K|≳700–800 MeV/c for kaons, the intercept λ tends to a constant which is less than unity and determined by q. If q is fixed to be the same for pions and kaons, the intercepts λπ and λK essentially differ at small mean momenta K, but tend to be equal at K large enough (|K|≳800 MeV/c), where the effect of resonance decays can be neglected. We argue that it is of basic interest to check in the experiments on heavy-ion collisions: (i) the exact shape of dependence λ=λ(K), and (ii) whether for |K|≳800 MeV/c the resulting λπ and λK indeed coincide.