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Stable Bose-Einstein correlations

T. Csorgo·S. Hegyi·W. A. Zajc
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Abstract

The shape of Bose-Einstein (or HBT) correlation functions is determined for the case when particles are emitted from a stable source, obtained after convolutions of large number of elementary random processes. The two-particle correlation function is shown to have a {\it stretched exponential} shape, characterized by the Lévy index of stability $ 0 < α\le 2$ and the scale parameter $R$. The normal, Gaussian shape corresponds to a particular case, when $α= 2$ is selected. The asymmetry parameter of the stable source, $β$ is shown to be proportional to the angle, measured by the normalized three-particle cumulant correlations.

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T. Csorgo, S. Hegyi, W. A. Zajc. 2004-02-12. Stable Bose-Einstein correlations. https://arxiv.org/abs/nucl-th/0402035

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