Multiboson effects in multiparticle production

Abstract

The influence of multiboson effects on pion multiplicities, single-pion spectra and two-pion correlation functions is discussed in terms of an analytically solvable model. The applicability of its basic factorization assumption is clarified. An approximate scaling of the basic observables with the phase space density is demonstrated in the low density (gas) limit. This scaling and also its violation at high densities due to the condensate formation is described by approximate analytical formulae which allow, in principle, for the identification of the multiboson effects among others. For moderate densities indicated by the experimental data, a fast saturation of multiboson effects with the number of contributing cumulants is obtained, allowing for the account of these effects in realistic transport code simulations. At high densities, the spectra are mainly determined by the universal condensate term and the initially narrow Poisson multiplicity distribution approaches a wide Bose-Einstein one. As a result, the intercepts of the inclusive and fixed-$n$ correlation functions (properly normalized to 1 at large relative momenta) approach 2 and 1, respectively and their widths logarithmically increase with the increasing phase space density. It is shown that the neglect of energy-momentum constraints in the model is justified except near a multipion threshold, where these constraints practically exclude the possibility of a very cold condensate production. It is argued that spectacular multiboson effects are likely to be observed only in the rare events containing sufficiently high density (speckle) fluctuations.

30 pages including 10 figures, LaTex, a revised version of SUBATECH 99-04 (aps1999_mar21_001) resubmitted to Phys. Rev. C; Chapter II made shorter, figure description made more clear, a comparison with most recent works added in Chapter VI

References in corpus (9)

• Analytic Solution of the Pion-Laser Model
• Two-pion correlations in Au+Au collisions at 10.8 GeV/c per nucleon
• Multiparticle Bose-Einstein Correlations
• Various Models for Pion Probability Distributions from Heavy-Ion Collisions
• Bose-Einstein condensation and independent production of pions
• Multi-boson effects and the normalization of the two-pion correlation function
• Multi-pion Bose-Einstein Correlation effects on three-pion interferometry
• Multi-pion Bose-Einstein correlations in high energy heavy-ion collisions
• Searching for cold spots in multipion systems

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• Multipion Bose-Einstein correlations in pp, p-Pb, and Pb-Pb collisions at the LHC
• Correlation femtoscopy of multiparticle processes
• Techniques for multiboson interferometry
• Phase-space densities and effects of resonance decays in hydrodynamic approach to heavy ion collisions
• Mass dependence of HBT correlations in e^+e^- annihilation
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• Chemical nonequilibrium for interacting bosons: applications to the pion gas
• Quantum canonical ensemble and correlation femtoscopy at fixed multiplicities
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