  We propose and develop to some extent a novel approach, which allows us 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 dependence of
the intercept \lambda on the pion pair mean momentum {\bf K}.
