paper

q-Boson approach to multiparticle correlations

arXiv:hep-ph/0010019 · doi:10.1142/S0217732300001754

Abstract

An approach is proposed enabling to effectively describe, for relativistic heavy-ion collisions, the observed deviation from unity of the intercept λ(measured value corresponding to zero relative momentum {\bf 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 λis connected with deformation parameter q. For a fixed value of q, the model predicts specific dependence of λon pair mean momentum {\bf K} so that, when |{\bf K}|\gsim 500 - 600 MeV/c for pions or when |{\bf K}|\gsim 700 - 800 MeV/c for kaons, the intercept λtends 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 λ_πand λ_K essentially differ at small mean momenta {\bf K}, but tend to be equal at {\bf K} large enough (|{\bf K}|\gsim 800MeV/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({\bf K}), and (ii) whether for |{\bf K}| \gsim 800 MeV/c the resulting λ_πand λ_K indeed coincide.

6 pages, revtex, 4 figures, to be published in Mod. Phys. Lett. A

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