Bose-Einstein correlations for Levy stable source distributions
T. Csorgo, S. Hegyi, W. A. Zajc
Abstract
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.
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