Quantum canonical ensemble and correlation femtoscopy at fixed multiplicities

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.

20 pages, 1 figure

References in corpus (6)

• Hydrodynamic Approaches in Relativistic Heavy Ion Reactions
• Two-particle Bose-Einstein correlations in $pp$ collisions at $\sqrt{\mathbf{s}}=$ 0.9 and 7 TeV measured with the ATLAS detector
• Collective flow in high-multiplicity proton-proton collisions
• Interferometric signatures of the temperature dependence of the specific shear viscosity in heavy-ion collisions
• Probing the properties of event-by-event distributions in Hanbury-Brown--Twiss radii
• Multidimensional analysis of Bose-Einstein correlations in pp collisions at 2.76 and 7 TeV in CMS

Cited by in corpus (3)

• Theory of Non-Interacting Fermions and Bosons in the Canonical Ensemble
• Quantum local-equilibrium state with fixed multiplicity constraint and Bose-Einstein momentum correlations
• Bose-Einstein momentum correlations at fixed multiplicities: Lessons from an exactly solvable thermal model for $pp$ collisions at the LHC