Bose-Einstein correlations for Levy stable source distributions

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 $0<\alpha \le 2$, 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.

30 pages, 1 figure, an important misprint in former eqs. (37-38) and other minor misprints are corrected, citations updated

References in corpus (2)

• Simple solutions of fireball hydrodynamics for self-similar elliptic flows
• Bose-Einstein Correlations in Z Fragmentation and Other Reactions

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