Global Conservation Laws and Femtoscopy of Small Systems

Abstract

It is important to understand, in detail, two-pion correlations measured in p+p and d+A collisions. In particular, one wishes to understand the femtoscopic correlations, in order to compare to similar measurements in heavy ion collisions. However, in the low-multiplicity final states of these systems, global conservation laws generate significant N-body correlations which project onto the two-pion space in non-trivial ways and complicate the femtoscopic analysis. We discuss a formalism to calculate and account for these correlations in collisions dominated by a single particle species (e.g. pions). We also discuss effects on two-particle correlations between non-identical particles, the understanding of which may be important in the study of femtoscopic space-time asymmetries.

17 pages, 15 figures; version 2 now shows explicitly that off-diagonal terms in covariance matrix vanish when using multivariate central limit theorem, in Section V; also, figures updated for clarity, references added, and discussion of binning effects moved to an appendix

References in corpus (4)

• Momentum conservation and correlation analyses in heavy-ion collisions at ultrarelativistic energies
• Analyzing Correlation Functions with Tesseral and Cartesian Spherical Harmonics
• Bose-Einstein study of position-momentum correlations of charged pions in hadronic Z0 decays
• Modelling Bose Einstein Correlations via Elementary Emitting Cells

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• Extracting temperature and transverse flow by fitting transverse mass spectra and HBT radii together
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