Combined Analysis of Two- and Three-Particle Correlations in q,p-Bose Gas Model

Abstract

q-deformed oscillators and the q-Bose gas model enable effective description of the observed non-Bose type behavior of the intercept ("strength") ${\lambda }^{(2)}\equiv C^{(2)}(K,K)-1$ of two-particle correlation function $C^{(2)}(p_1,p_2)$ of identical pions produced in heavy-ion collisions. Three- and n-particle correlation functions of pions (or kaons) encode more information on the nature of the emitting sources in such experiments. And so, the q-Bose gas model was further developed: the intercepts of n-th order correlators of q-bosons and the n-particle correlation intercepts within the q,p-Bose gas model have been obtained, the result useful for quantum optics, too. Here we present the combined analysis of two- and three-pion correlation intercepts for the q-Bose gas model and its q,p-extension, and confront with empirical data (from CERN SPS and STAR/RHIC) on pion correlations. Similar to explicit dependence of ${\lambda }^{(2)}$ on mean momenta of particles (pions, kaons) found earlier, here we explore the peculiar behavior, versus mean momentum, of the 3-particle correlation intercept ${\lambda }^{(3)}(K)$. The whole approach implies complete chaoticity of sources, unlike other joint descriptions of two- and three-pion correlations using two phenomenological parameters (e.g., core-halo fraction plus partial coherence of sources).

arXiv commentPublished in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

References in corpus (19)

• Thermostatistics of q-deformed boson gas
• What can we learn from three-pion interferometry ?
• Three-Pion Hanbury-Brown-Twiss Correlations in Relativistic Heavy-Ion Collisions from the STAR Experiment
• Statistical Mechanics of $qp$-Bosons in $D$ Dimensions
• Multi-particle correlations in qp-Bose gas model
• Model independent shape analysis of correlations in 1, 2 or 3 dimensions
• Generalized Quon Statistics
• Quantum algebras in phenomenological description of particle properties
• q-Boson approach to multiparticle correlations
• Two-Particle Correlations from the q-Boson Viewpoint
• Operator Formulation of q-Deformed Dual String Model
• Quantum Groups as Flavor Symmetries: Account of Nonpolynomial SU(3)-Breaking Effects in Baryon Masses
• Introduction to Quantum Algebras
• Two-Parametric Quantum-Deformed Dual Amplitude
• Q-boson interferometry and generalized Wigner function
• Intensity Interferometry with Anyons
• Analyses of two and three pion Bose-Einstein Correlations using Coulomb wave functions
• The Phase in Three-Pion Correlations
• Quantum groups and Cabibbo mixing

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• Virial coefficients in $(\tilde{\mu },q)$-Bose gas model related to compositeness of particles and their interaction: temperature-dependence problem
• Exact expressions for the intercepts of r-particle momentum correlation functions in μ-Bose gas model
• Nonstandard Deformed Oscillators from $q$- and $p,q$-Deformations of Heisenberg Algebra
• Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels
• Symmetric Tamm-Dancoff q-oscillator: representation, quasi-Fibonacci nature, accidental degeneracy and coherent states