Two-particle correlations from the $q$-Boson viewpoint

D.V. Anchishkin; A.M. Gavrilik; N.Z. Iorgov

doi:doi:10.1007/PL00013603

EPJ

Two-particle correlations from the q-Boson viewpoint

D.V. Anchishkin^1,2 - A.M. Gavrilik² - N.Z. Iorgov²

¹ CERN TH-Division, 1211 Geneva 23, Switzerland
² Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, 252143 Kiev-143, Ukraine

Received: 2 July 1999 / Revised version: 11 November 1999 Communicated by A. Schäfer

Abstract
We propose and develop to some extent a novel approach, which allows to effectively describe, for relativistic heavy-ion collisions, the empirically observed deviation from unity of the intercept $\lambda$ (i.e. the 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 is based on the use of two versions of the so-called q-deformed oscillators and the corresponding picture of ideal gases of q-bosons. By these techniques the intercept $\lambda$ is put into direct correspondence with the deformation parameter q. For fixed deformation strength, the model predicts particular dependence of the intercept $\lambda$ on the pion pair mean momentum ${\bf K}$ .