Multi-particle correlations in<i>qp</i>-Bose gas model

Adamska, L.V.; Gavrilik, Alexander

doi:10.1088/0305-4470/37/17/009

Cited by 44 publications

(75 citation statements)

References 29 publications

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“…Further extension of main points of the approach based on q-Bose gas model has been done in [20]: (i) the intercepts of n-particle correlation functions have been obtained within q-Bose gas model in its two -Arik-Coon (AC) and Biedenharn-Macfarlane (BM) -main versions; (ii) closed expressions for the intercepts of n-particle correlation functions have been derived using two-parameter (q,p-) generalization of the deformed Bose gas model. The reason to employ the q,p-deformed Bose gas model is two-fold: first, the general formulae contain the AC and BM versions as particular cases; second, the q,p-Bose gas model provides a tools to take into account, in a unified way, any two independent reasons (to use q-deformation) from the above list.…”

Section: Clearly Items In This List May Be Interrelated Say (A)-(bmentioning

confidence: 99%

“…Remark that the results in [20] are of general value: they can be utilized on an equal footing both in the domain of quantum optics if n-particle distributions and correlations are important, and in the analysis of multi-boson (-pion or -kaon) correlations in heavy ion collisions.…”

Section: Clearly Items In This List May Be Interrelated Say (A)-(bmentioning

confidence: 99%

“…The most general result, derived in [20] and based on the q,p-oscillators, for the n-particle distribution functions of the gas of q,p-bosons…”

Section: N-particle Distributions and Correlations Of Deformed Bosonsmentioning

confidence: 99%

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

Gavrilik¹

2006

SIGMA

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Abstract. q-deformed oscillators and the q-Bose gas model enable effective description of the observed non-Bose type behavior of the intercept ("strength") λ (2) ≡ 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 λ (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 λ (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).

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Section: Clearly Items In This List May Be Interrelated Say (A)-(bmentioning

confidence: 99%

Section: Clearly Items In This List May Be Interrelated Say (A)-(bmentioning

confidence: 99%

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

Gavrilik¹

2006

SIGMA

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“…The answer to this question gives the importance of theories with two deformation parameters to some extent. The two-parameter deformed oscillator is a candidate to describe an explicit form of the intercepts λ (n) of n-particle correlation functions with n ≥ 3 of identical pions or kaons [1]. However, we should note that there is a remarkable difference between the Fibonacci oscillators given in (6) and the so called q-bosons.…”

Section: Discussionmentioning

confidence: 99%

Two-Parameter Deformed SUSY Algebra for Fibonacci Oscillators

2007

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We construct a two-parameter deformed SUSY algebra for the system of n ordinary fermions and n(q 1 , q 2 )-deformed bosons called Fibonacci oscillators with SU q 1 /q 2 (n)-symmetry. We then analyze the Fock space representation of the algebra constructed. We obtain the total deformed Hamiltonian and the energy levels together with their degeneracies for the system. We also consider some physical applications of the Fibonacci oscillators with SU q 1 /q 2 (n)-symmetry, and discuss the main reasons to consider two distinct deformation parameters.

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“…These include: description of the properties of phonon spectrum in 4 He [8]; physics of excitons [9]; usage of nonstandard statistics and DBGMs in the physics of black holes and dark matter [10][11][12][13][14]; attempts to explain the observed non-Bose features of pions shown by π π-correlations in the RHIC/STAR experiments (see, e.g., [15]). The latter line of application was initiated in [16][17][18], and the approach was further developed in [19][20][21][22][23], with main attention on explicit two-and n-particle distributions and respective correlations (intercepts).…”

Section: Introductionmentioning

confidence: 99%

Geometric Aspects and Some Uses of Deformed Models of Thermostatistics

Gavrilik

2018

Universe

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Abstract:We consider diverse deformed Bose gas models (DBGMs) focusing on distributions and correlations of any order, and also on deformed thermodynamics. For so-called µ-deformed Bose gas model (µ-DBGM), main thermodynamic aspects are treated: total number of particles, deformed partition function, etc. Using a geometric approach, we confirm the existence of critical behavior-Bose-like condensation; we find the critical temperature T (µ) c depending on µ so thatfor µ > 0. This fact and other advantages of µ-DBGM relative to the usual Bose gas, e.g., stronger effective inter-particle attraction (controlled by the parameter µ), allow us to consider the condensate in µ-DBGM as a candidate for modeling dark matter. As another, quite successful application we discuss the usage of the two-parameter (μ, q)-deformed BGM for effective description of the peculiar (non-Bose like) behavior of two-pion correlations observed in the STAR experiment at RHIC (Brookhaven). Herein, we point out the transparent role of the two deformation parametersμ and q as being responsible for compositeness and (effective account of) interactions of pions, respectively.

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Multi-particle correlations inqp-Bose gas model

Cited by 44 publications

References 29 publications

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

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

Two-Parameter Deformed SUSY Algebra for Fibonacci Oscillators

Geometric Aspects and Some Uses of Deformed Models of Thermostatistics

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