Quantum canonical ensemble and correlation femtoscopy at fixed multiplicities

S. V. Akkelin and Yu. M. Sinyukov
Phys. Rev. C 94, 014908 – Published 20 July 2016

Abstract

Identical particle correlations at fixed multiplicity are considered by means of quantum canonical ensemble of finite systems. We calculate one-particle momentum spectra and two-particle Bose-Einstein correlation functions in the ideal gas by using a recurrence relation for the partition function. Within such a model we investigate the validity of the thermal Wick's theorem and its applicability for decomposition of the two-particle distribution function. The dependence of the Bose-Einstein correlation parameters on the average momentum of the particle pair is also investigated. Specifically, we present the analytical formulas that allow one to estimate the effect of suppressing the correlation functions in a finite canonical system. The results can be used for the femtoscopy analysis of the A+A and p+p collisions with selected (fixed) multiplicity.

  • Figure
  • Received 9 March 2016

DOI:https://doi.org/10.1103/PhysRevC.94.014908

©2016 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

S. V. Akkelin1 and Yu. M. Sinyukov1,2,3

  • 1Bogolyubov Institute for Theoretical Physics, Metrolohichna 14b, 03680 Kiev, Ukraine
  • 2ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung, D-64291 Darmstadt, Germany
  • 3Tomsk State University, Department of Physics, Lenin Avenue 36, Tomsk, Russia

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Issue

Vol. 94, Iss. 1 — July 2016

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