Eggers, H. C.3; De Kock, M. B.3; Schmiegel, Jürgen5
1 Department of Mathematical Sciences, Faculty of Science, Aarhus University, Aarhus University2 T.N. Thiele Centre, Faculty of Science, Aarhus University, Aarhus University3 Department of Physics, University of Stellenbosch4 Department of Engineering - Sustainable Energy Systems, Department of Engineering, Science and Technology, Aarhus University5 Department of Engineering - Sustainable Energy Systems, Department of Engineering, Science and Technology, Aarhus University
Lowest-order cumulants provide important information on the shape of the emission source in femtoscopy. For the simple case of noninteracting identical particles, we show how the fourth-order source cumulant can be determined from measured cumulants in momentum space. The textbook Gram–Charlier series is found to be highly inaccurate, while the related Edgeworth series provides increasingly accurate estimates. Ordering of terms compatible with the Central Limit Theorem appears to play a crucial role even for non-Gaussian distributions.
Modern Physics Letters a, 2011, Vol 26, Issue 24, p. 1771-1782