Determining source cumulants in femtoscopy with Gram-Charlier and Edgeworth series
arXiv:1011.3950 · doi:10.1142/S0217732311036280
Abstract
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 nongaussian distributions.
arXiv comment11 pages, 2 figures
References in corpus (11)
- Femtoscopy in Relativistic Heavy Ion Collisions: Two Decades of Progress
- Expansions for nearly Gaussian distributions
- Imaging of Sources in Heavy-Ion Reactions
- Optimized Discretization of Sources Imaged in Heavy-Ion Reactions
- Pion femtoscopy in p+p collisions at sqrt(s)=200 GeV
- Analysis of Low-Momentum Correlations with Cartesian Harmonics
- Correlation search for coherent pion emission in heavy ion collisions
- Analyzing Correlation Functions with Tesseral and Cartesian Spherical Harmonics
- Imaging Three Dimensional Two-particle Correlations for Heavy-Ion Reaction Studies
- Femtoscopic correlations in multiparticle production and beta-decay
- HBT shape analysis with q-cumulants