q-boson approach to multiparticle correlations

An approach is proposed enabling one to effectively describe, for relativis tic heavy-ion collisions, the observed deviation from unity of the intercep t lambda (measured value corresponding to aero relative momentum p of two r egistered identical pions or kaons) of the two-particle correlation functio n C(p, K). The approach uses q-deformed oscillators and the related picture of ideal gas of q-bosons. In effect, the intercept lambda is connected wit h deformation parameter p. For a fixed value of q, the model predicts speci fic dependence of lambda on pair mean momentum K so that, when \K\ greater than or similar to 500-600 MeV/c for pions or when \K\ greater than or simi lar to 700-800 MeV/c for kaons, the intercept lambda tends to a constant wh ich is less than unity and determined by q. If q is fixed to be the same fo r pions and kaons, the intercepts lambda (pi) and lambda (K) essentially di ffer at small mean momenta K, but tend to be equal at K large enough (\K\ g reater than or similar to 800 MeV/c), where the effect of resonance decays can be neglected. We argue that it is of basic interest to check in the exp eriments on heavy-ion collisions: (i) the exact shape of dependence lambda = lambda>(*) over bar * (K), and (ii) whether for \K\ greater than or simil ar to 800 MeV/c the resulting lambda (pi) and lambda (K) indeed coincide.