  The peak of the two-particle Bose-Einstein correlation functions has a very
interesting structure. It is often believed to have a multivariate Gaussian
form. We show here that for the class of stable distributions, characterized by
the index of stability $0 < \alpha \le 2$, the peak has a stretched exponential
shape. The Gaussian form corresponds then to the special case of $\alpha = 2$.
We give examples for the Bose-Einstein correlation functions for univariate as
well as multivariate stable distributions, and check the model against
two-particle correlation data.
