### 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 stretched exponential shape, characterized by the Lévy index of stability 0 <α ≤ 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.

Original language | English |
---|---|

Journal | Nukleonika |

Volume | 49 |

Issue number | SUPPL.2 |

Publication status | Published - 2004 |

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### Keywords

- Bose-Einstein correlations
- HBT
- Lévy distributions
- Multiparticle production in high energy particle and nuclear physics
- Particle correlations

### ASJC Scopus subject areas

- Inorganic Chemistry
- Physics and Astronomy(all)
- Nuclear and High Energy Physics

### Cite this

*Nukleonika*,

*49*(SUPPL.2).

**Stable Bose-Einstein correlations.** / Csörgő, T.; Hegyi, S.; Zajc, William A.

Research output: Contribution to journal › Article

*Nukleonika*, vol. 49, no. SUPPL.2.

}

TY - JOUR

T1 - Stable Bose-Einstein correlations

AU - Csörgő, T.

AU - Hegyi, S.

AU - Zajc, William A.

PY - 2004

Y1 - 2004

N2 - 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 <α ≤ 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.

AB - 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 <α ≤ 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.

KW - Bose-Einstein correlations

KW - HBT

KW - Lévy distributions

KW - Multiparticle production in high energy particle and nuclear physics

KW - Particle correlations

UR - http://www.scopus.com/inward/record.url?scp=33645993855&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33645993855&partnerID=8YFLogxK

M3 - Article

VL - 49

JO - Nukleonika

JF - Nukleonika

SN - 0029-5922

IS - SUPPL.2

ER -