Inclusive spectra and Bose-Einstein correlations in small thermal quantum systems

Abstract

The spectra and correlation of identical particles emitted from small local-equilibrium sources are considered. The size of the system is defined by the negative part of the parabolic falling chemical potential. The analytical solution of the problem is found for the case of inclusive measurements. It is shown that in the case where the size of the system is comparable to the thermal wavelength of the particles, the spectra and correlation functions are far from the quasiclassical approximation expected for large systems, and observed femtoscopy scales (interferometry radii) will be essentially smaller than the Gaussian radii of the source. If the maximum value of the chemical potential approaches the critical one, specific for the system, one can consider the possibility of the Bose-Einstein condensation. In such a case the reduction of the intercept of the correlation function for inclusive measurements takes place. The results can be used for the searching of femtoscopy homogeneity lengths in proton-proton collisions at LHC energies.

arXiv comment25 pages, 7 figures

References in corpus (21)

• Spatial coherence and density correlations of trapped Bose gases
• Condensate fluctuations of a trapped, ideal Bose gas
• Femtoscopy of pp collisions at $\sqrt{s}$=0.9 and 7 TeV at the LHC with two-pion Bose-Einstein correlations
• Bose-Einstein condensation of pions in heavy-ion collisions at the CERN Large Hadron Collider (LHC) energies
• Two-particle Bose-Einstein correlations in $pp$ collisions at $\sqrt{\mathbf{s}}=$ 0.9 and 7 TeV measured with the ATLAS detector
• Femtoscopic scales in $p+p$ and $p+$Pb collisions in view of the uncertainty principle
• Femtoscopy correlations of kaons in $Pb+Pb$ collisions at LHC within hydrokinetic model
• Correlation search for coherent pion emission in heavy ion collisions
• Chaoticity Parameter Lambda in Hanbury-Brown Twiss Interferometry
• On $m_T$ dependence of femtoscopy scales for meson and baryon pairs
• Correlation femtoscopy of small systems
• Bose-Einstein correlations of charged hadrons in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• $K^{\ast }(892)$ and $\varphi (1020)$ production and their decay into the hadronic medium at the Large Hadron Collider
• Event-shape and multiplicity dependence of freeze-out radii in pp collisions at $\sqrt{\text{s}}=7$ TeV
• Bulk observables in the LHC 5.02 TeV Pb+Pb collisions within the integrated HydroKinetic Model
• Study of $b\bar{b}$ correlations in high energy proton-proton collisions
• Ground state fluctuations in finite Fermi and Bose systems
• Bose-Einstein correlations of same-sign charged pions in the forward region in $pp$ collisions at $\sqrt{s}$ = 7 TeV
• Description of bulk observables in Au+Au collisions at top RHIC energy in the integrated HydroKinetic Model
• Direct photon spectrum and elliptic flow produced from Pb+Pb collisions at $\sqrt{s_{NN}}=2.76$ TeV at the CERN Large Hadron Collider within an integrated hydrokinetic model
• Particle production at energies available at the CERN Large Hadron Collider within evolutionary model

Cited by in corpus (1)

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