Abstract

We study the reconstruction of the source function in space-timedirectly from the measured Hanbury-Brown/Twiss (HBT) correlation function using themaximum entropy principle. We find that the problem is ill-definedwithout at least one additional theoretical constraint as input.Using the requirement of a finite source lifetime for theproblem we find a new Gaussian parametrization of the source functiondirectly in terms of the measured HBT radius parameters and itslifetime, where the latter is a free parameter which is not directlymeasurable by HBT. We discuss the implications of our results for theremaining freedom in building source models consistent with a givenset of measured HBT radius parameters.

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