  The influence of multiboson effects on pion multiplicities, single-pion
spectra and two-pion correlation functions is discussed in terms of an
analytically solvable model. The applicability of its basic factorization
assumption is clarified. An approximate scaling of the basic observables with
the phase space density is demonstrated in the low density (gas) limit. This
scaling and also its violation at high densities due to the condensate
formation is described by approximate analytical formulae which allow, in
principle, for the identification of the multiboson effects among others. For
moderate densities indicated by the experimental data, a fast saturation of
multiboson effects with the number of contributing cumulants is obtained,
allowing for the account of these effects in realistic transport code
simulations. At high densities, the spectra are mainly determined by the
universal condensate term and the initially narrow Poisson multiplicity
distribution approaches a wide Bose-Einstein one. As a result, the intercepts
of the inclusive and fixed-$n$ correlation functions (properly normalized to 1
at large relative momenta) approach 2 and 1, respectively and their widths
logarithmically increase with the increasing phase space density. It is shown
that the neglect of energy-momentum constraints in the model is justified
except near a multipion threshold, where these constraints practically exclude
the possibility of a very cold condensate production. It is argued that
spectacular multiboson effects are likely to be observed only in the rare
events containing sufficiently high density (speckle) fluctuations.
