Bose-Einstein correlations for Levy stable source distributions

Details Bose-Einstein correlations for Levy stable source distributions Bose-Einstein correlations for Levy stable source distributions

2003-10-14

arxiv.org/abs/nucl-th/0310042v2

Eur.Phys.J. C36 (2004) 67-78

Physics

Nuclear Physics

Nuclear Theory

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

Scientific paper

10.1140/epjc/s2004-01870-9

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.

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