| Original Articles |
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Source Function Determined from Hanbury-Brown/Twiss (HBT)Correlations by the Maximum Entropy Principle |
| WU Yuan-Fang;LIU Lian-Shou |
| Institute of Particle Physics, Huazhong Normal University, Wuhan 430079 |
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| Cite this article: |
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WU Yuan-Fang, LIU Lian-Shou 2002 Chin. Phys. Lett. 19 197-200 |
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Abstract We study the reconstruction of the source function in space-time directly from the measured Hanbury-Brown/Twiss (HBT) correlation function using the maximum entropy principle. We find that the problem is ill-defined without at least one additional theoretical constraint as input. Using the requirement of a finite source lifetime for the problem we find a new Gaussian parametrization of the source function directly in terms of the measured HBT radius parameters and its lifetime, where the latter is a free parameter which is not directly measurable by HBT. We discuss the implications of our results for the remaining freedom in building source models consistent with a given set of measured HBT radius parameters.
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| Keywords:
25.75.-q
25.75.Gz
02.50.Cw
12.40.Ee
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Published: 01 February 2002
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| PACS: |
25.75.-q
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(Relativistic heavy-ion collisions (collisions induced by light ions studied to calibrate relativistic heavy-ion collisions should be classified under both 25.75.-q and sections 13 or 25 appropriate to the light ions))
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25.75.Gz
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(Particle correlations and fluctuations)
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02.50.Cw
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(Probability theory)
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12.40.Ee
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(Statistical models)
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