We propose and develop to some extent a novel approach, which allows to eff
ectively describe, for relativistic heavy-ion collisions, the empirically o
bserved deviation from unity of the intercept lambda (i.e. the measured val
ue corresponding to zero relative momentum p of two registered identical pi
ons or kaons) of the two-particle correlation function C(p, K). The approac
h is based on the use of two versions of the so-called q-deformed oscillato
rs and the corresponding picture of ideal gases of q-bosons. By these techn
iques the intercept lambda is put into direct correspondence with the defor
mation parameter q. For fixed deformation strength, the model predicts part
icular dependence of the intercept lambda on the pion pair mean momentum K.