Femtoscopic scales in $p+p$ and $p+$Pb collisions in view of the uncertainty principle

Abstract

A method for quantum corrections of Hanbury-Brown/Twiss (HBT) interferometric radii produced by semi-classical event generators is proposed. These corrections account for the basic indistinguishability and mutual coherence of closely located emitters caused by the uncertainty principle. A detailed analysis is presented for pion interferometry in $p+p$ collisions at LHC energy ($\sqrt{s}=7$ TeV). A prediction is also presented of pion interferometric radii for $p+$Pb collisions at $\sqrt{s}=5.02$ TeV. The hydrodynamic/hydrokinetic model with UrQMD cascade as 'afterburner' is utilized for this aim. It is found that quantum corrections to the interferometry radii improve significantly the event generator results which typically overestimate the experimental radii of small systems. A successful description of the interferometry structure of $p+p$ collisions within the corrected hydrodynamic model requires the study of the problem of thermalization mechanism, still a fundamental issue for ultrarelativistic $A+A$ collisions, also for high multiplicity $p+p$ and $p+$Pb events.

arXiv comment22 pages, 7 figures

References in corpus (28)

• Microscopic Models for Ultrarelativistic Heavy Ion Collisions
• Relativistic Hadron-Hadron Collisions in the Ultra-Relativistic Quantum Molecular Dynamics Model (UrQMD)
• Identified Charged Particle Spectra and Yields in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• Femtoscopy in Relativistic Heavy Ion Collisions: Two Decades of Progress
• Energy Dependence of Pion and Kaon Production in Central Pb+Pb Collisions
• Identified particle distributions in pp and Au+Au collisions at sqrt{s_NN}=200 GeV
• Quark mass thresholds in QCD thermodynamics
• Two-pion Bose-Einstein correlations in central Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Pion interferometry in Au+Au collisions at $\sqrt{{\mathrm{s}}_{{}_{\mathrm{NN}}}}$ = 200 GeV
• Nonperturbative Effects in Gluon Radiation and Photoproduction of Quark Pairs
• Bose-Einstein Correlations of Charged Pion Pairs in Au+Au Collisions at sqrt(s_NN)=200_ GeV
• Femtoscopy of pp collisions at $\sqrt{s}$=0.9 and 7 TeV at the LHC with two-pion Bose-Einstein correlations
• Uniform description of bulk observables in the hydrokinetic model of A+A collisions at RHIC and LHC
• On freeze-out problem in hydro-kinetic approach to A+A collisions
• Evidence for Hydrodynamic Evolution in Proton-Proton Scattering at LHC Energies
• Bose-Einstein correlations of pion pairs in central Pb+Pb collisions at CERN SPS energies
• Hydro-kinetic approach to relativistic heavy ion collisions
• Physics of Coulomb Corrections in Hanbury-Brown Twiss Interferometry in Ultrarelativistic Heavy Ion Collisions
• Reconstruction of Hadronization Stage in Pb+Pb Collisions at 158A GeV/c
• Understanding the Non-Perturbative Deep-Inelastic Scattering: Instanton-induced Inelastic Dipole-Dipole Cross Section
• New analytic solutions of the non-relativistic hydrodynamical equations
• Kaon and pion femtoscopy at the highest energies available at the BNL Relativistic Heavy Ion Collider (RHIC) in a hydrokinetic model
• Phase-space densities and effects of resonance decays in hydrodynamic approach to heavy ion collisions
• Meson phase space density from interferometry
• Correlation femtoscopy of small systems
• HBT search for new states of matter in A+A collisions
• Study of $\pi \pi$ correlations at LHC and RHIC energies in $pp$ collisions within the quark-gluon string model
• What to Expect When You're Expecting: Femtoscopy at the LHC

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• $K^{\ast }(892)$ 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
• One-dimensional charged kaon femtoscopy in p-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• Hanbury Brown--Twiss Interferometry and Collectivity in Small Systems
• Blast-wave model description of the Hanbury-Brown--Twiss radii in pp collisions at LHC energies
• Two-particle Bose-Einstein correlations in pp collisions at $\sqrt{s}=13$ TeV measured with the ATLAS detector at the LHC
• Particle production at energies available at the CERN Large Hadron Collider within evolutionary model
• Collective flow and hydrodynamics in large and small systems at the LHC
• Femtoscopic correlations of identical charged pions and kaons in pp collisions at $\sqrt{s}=13$ TeV with event-shape selection
• 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
• Study of the Bose-Einstein correlations of same-sign pions in proton-lead collisions
• A combined model for the pseudorapidity distributions in p-p collisions at center-of-mass energies from 23.6 to 7000 GeV
• Inclusive spectra and Bose-Einstein correlations in small thermal quantum systems
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