Quantum local-equilibrium state with fixed multiplicity constraint and Bose-Einstein momentum correlations

Abstract

The one- and two-boson momentum spectra are derived in the quantum local-equilibrium canonical ensemble of noninteracting bosons with a fixed particle number constraint. We define the canonical ensemble as a subensemble of events associated with the grand-canonical ensemble. Applying simple hydro-inspired parametrization with parameter values that correspond roughly to the values at the system's breakup in $p+p$ collisions at the LHC energies, we compare our findings with the treatment which is based on the grand-canonical ensembles where mean particle numbers coincide with fixed particle numbers in the canonical ensembles. We observe a significantly greater sensitivity of the two-particle momentum correlation functions to fixed multiplicity constraint compared to one-particle momentum spectra. The results of our analysis may be useful for interpretation of multiplicity-dependent measurements of $p+p$ collision events.

arXiv comment27 pages, 8 figures

References in corpus (17)

• Femtoscopy in Relativistic Heavy Ion Collisions: Two Decades of Progress
• Particle Interferometry for Relativistic Heavy-Ion Collisions
• Boson Interferometry in High Energy Physics
• Local thermodynamical equilibrium and the beta frame for a quantum relativistic fluid
• Finite-size effect on two-particle production in continuous and discrete spectrum
• Transverse Momentum of Protons, Pions and Kaons in High Multiplicity pp and pA Collisions: Evidence for the Color Glass Condensate?
• Centrality dependence of pion freeze-out radii in Pb-Pb collisions at $\sqrt{{\mathbf{s}}_{\mathbf{NN}}}$=2.76 TeV
• Source Dimensions in Ultrarelativistic Heavy Ion Collisions
• Two-particle Bose-Einstein correlations in $pp$ collisions at $\sqrt{\mathbf{s}}=$ 0.9 and 7 TeV measured with the ATLAS detector
• Study of Bose-Einstein correlations in pp, pPb, and PbPb collisions at $\sqrt{s_{\mathrm{NN}}}=$ 0.9-7 TeV
• Correlation femtoscopy of small systems
• Bose-Einstein correlations of charged hadrons in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Second law of thermodynamics for relativistic fluids formulated with relative entropy
• Two-particle Bose-Einstein correlations in pp collisions at $\sqrt{s}=13$ TeV measured with the ATLAS detector at the LHC
• Quantum canonical ensemble and correlation femtoscopy at fixed multiplicities
• Bose-Einstein momentum correlations at fixed multiplicities: Lessons from an exactly solvable thermal model for $pp$ collisions at the LHC
• Fixed particle number constraint in a simple model of a thermal expanding system and $pp$ collisions at the LHC

Cited by in corpus (2)

• Nonequilibrium Phenomenology of Identified Particle Spectra in Heavy-Ion Collisions at LHC Energies
• Particle momentum spectra, correlations, and maximum entropy principle in high-multiplicity collision events