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<α≤2, the peak has a stretched exponential
shape. The Gaussian form corresponds then to the special case of α=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.Comment: 30 pages, 1 figure, an important misprint in former eqs. (37-38) and
other minor misprints are corrected, citations update