Bose-Einstein correlations for Lévy stable source distributions
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 stret...
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| Veröffentlicht in: | The European physical journal. C, Particles and fields Particles and fields, 2004-07, Vol.36 (1), p.67-78 |
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| container_title | The European physical journal. C, Particles and fields |
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| creator | Csörgő, T. Hegyi, S. Zajc, W. A. |
| description | 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 we check the model against two-particle correlation data. |
| doi_str_mv | 10.1140/epjc/s2004-01870-9 |
| format | Article |
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| subjects | Correlation Multivariate analysis |
| title | Bose-Einstein correlations for Lévy stable source distributions |
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