Bose-Einstein momentum correlations at fixed multiplicities: Lessons from an exactly solvable thermal model for $pp$ collisions at the LHC

Abstract

Two-particle momentum correlations of $N$ identical bosons are studied in the quantum canonical ensemble. We define the latter as a properly selected subensemble of events associated with the grand canonical ensemble which is characterized by a constant temperature and a harmonic-trap chemical potential. The merits of this toy model are that it can be solved exactly, and that it demonstrates some interesting features revealed recently in small systems created in $p+p$ collisions at the LHC. We find that partial coherence can be observed in particle emission from completely thermal ensembles of events if instead of inclusive measurements one studies the two-boson distribution functions related to the events with particle numbers selected in some fixed multiplicity bins. The corresponding coherence effects increase with the multiplicity.

arXiv comment22 pages, 6 figures, typos fixed

References in corpus (20)

• Femtoscopy in Relativistic Heavy Ion Collisions: Two Decades of Progress
• Particle Interferometry for Relativistic Heavy-Ion Collisions
• Small System Collectivity in Relativistic Hadron and Nuclear Collisions
• Boson Interferometry in High Energy Physics
• Femtoscopy of pp collisions at $\sqrt{s}$=0.9 and 7 TeV at the LHC with two-pion Bose-Einstein correlations
• Finite-size effect on two-particle production in continuous and discrete spectrum
• Two-particle Bose-Einstein correlations in $pp$ collisions at $\sqrt{\mathbf{s}}=$ 0.9 and 7 TeV measured with the ATLAS detector
• Studying QGP with flow: A theory overview
• Study of Bose-Einstein correlations in pp, pPb, and PbPb collisions at $\sqrt{s_{\mathrm{NN}}}=$ 0.9-7 TeV
• Femtoscopic scales in $p+p$ and $p+$Pb collisions in view of the uncertainty principle
• Multiboson effects in multiparticle production
• Correlation femtoscopy of small systems
• Bose-Einstein correlations of charged hadrons in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Multiparticle Bose-Einstein Correlations
• Event-shape and multiplicity dependence of freeze-out radii in pp collisions at $\sqrt{\text{s}}=7$ TeV
• Multi-boson effects in Bose-Einstein interferometry and the multiplicity distribution
• Study of $b\bar{b}$ correlations in high energy proton-proton collisions
• Bose-Einstein correlations of same-sign charged pions in the forward region in $pp$ collisions at $\sqrt{s}$ = 7 TeV
• Quantum canonical ensemble and correlation femtoscopy at fixed multiplicities
• Inclusive spectra and Bose-Einstein correlations in small thermal quantum systems

Cited by in corpus (2)

• Quantum local-equilibrium state with fixed multiplicity constraint and Bose-Einstein momentum correlations
• Fixed particle number constraint in a simple model of a thermal expanding system and $pp$ collisions at the LHC