NUKLEONIKA 2004, 49(Supplement 2):s7-s10

STABLE BOSE-EINSTEIN CORRELATIONS

Tamás Csörgő1, Sándor Hegyi1, William A. Zajc2

1 Research Insitute for Nuclear Particle Physics of the Hungarian Academy of Sciences (MTA KFKI RMKI), H-1525 Budapest 114, P. O. Box 49, Hungary
2 Department of Physics, Columbia University, 538 W 120th Str., NY 10027 New York, USA

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 stretched exponential shape, characterized by the Lévy index of stability 0 < a Ł 2 and the scale parameter R. The normal, Gaussian shape corresponds to a particular case, when a = 2 is selected. The asymmetry parameter of the stable source, b is shown to be proportional to the angle, measured by the normalized three-particle cumulant correlations.