Hadron interferometry revisited

Weiner, R.M.

doi:10.1016/0370-2693(89)91701-2

Cited by 44 publications

(23 citation statements)

References 16 publications

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“…For C 2 , the fit ranges are chosen to be √ 2 times narrower. The characteristic width of Gaussian three-pion cumulant QS correlations projected against Q 3 is a factor of √ 2 times that of Gaussian two-pion QS correlations projected against q [35,36]. As a variation we change the upper bound of the fit range by ±30% for three-pion correlations and two-pion correlations in Pb-Pb for N rec pions > 50.…”

Section: Resultsmentioning

confidence: 88%

“…The novel features of higher-order QS correlations are extracted using the cumulant for which all lower order correlations are removed [33,34]. The maximum of the three-pion cumulant QS correlation is a factor of two larger than for two-pion QS correlations [33][34][35][36]. In addition to the increased signal, three-pion cumulants also remove contributions from two-particle background correlations unrelated to QS (e.g.…”

Section: Introductionmentioning

confidence: 99%

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Freeze-out radii extracted from three-pion cumulants in pp, p–Pb and Pb–Pb collisions at the LHC

Abelev¹,

Adam²,

Adamová³

et al. 2014

Physics Letters B

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In high-energy collisions, the spatio-temporal size of the particle production region can be measured using the Bose-Einstein correlations of identical bosons at low relative momentum. The source radii are typically extracted using two-pion correlations, and characterize the system at the last stage of interaction, called kinetic freeze-out. In low-multiplicity collisions, unlike in high-multiplicity collisions, two-pion correlations are substantially altered by background correlations, e.g. mini-jets. Such correlations can be suppressed using three-pion cumulant correlations. We present the first measurements of the size of the system at freeze-out extracted from three-pion cumulant correlations in pp, p-Pb and Pb-Pb collisions at the LHC with ALICE. At similar multiplicity, the invariant radii extracted in p-Pb collisions are found to be 5-15% larger than those in pp, while those in Pb-Pb are 35-55% larger than those in p-Pb. Our measurements disfavor models which incorporate substantially stronger collective expansion in p-Pb as compared to pp collisions at similar multiplicity.

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Section: Resultsmentioning

confidence: 88%

Section: Introductionmentioning

confidence: 99%

Freeze-out radii extracted from three-pion cumulants in pp, p–Pb and Pb–Pb collisions at the LHC

Abelev¹,

Adam²,

Adamová³

et al. 2014

Physics Letters B

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“…What remains true for arbitrary multiplicity distributions is that for a coherent source the second (two-particle exchange) terms in the square brackets of Eqs. (3.4) and (3.9) vanish, and that for partially coherent sources (like those discussed in [28][29][30][31]) they amount to only a fraction of the first term even at q = 0. Partially coherent sources can thus be characterized by an incoherence parameter 0 ≤ λ incoh (K ) < 1 where λ incoh (K ) is defined by 22) with N sym 2 denoting the full, symmetrized expressions (3.4) and (3.9), and N unsym 2 denoting only the first terms inside the square brackets, without the exchange term, respectively.…”

Section: Correlation Strength and Incoherence Parametermentioning

confidence: 89%

Multiboson Effects in Bose–Einstein Interferometry and the Multiplicity Distribution

2001

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Multiboson symmetrization effects on two-particle Bose-Einstein interferometry are studied for ensembles with arbitrary multiplicity distributions. This generalizes the previously studied case of a Poissonian input multiplicity distribution. In the general case we find interesting residual correlations which require a modified framework for extracting information on the source geometry from two-particle correlation measurements. In sources with high phase-space densities, multiboson effects modify the Hanbury Brown-Twiss (HBT) radius parameters and simultaneously generate strong residual correlations. We clarify their effect on the correlation strength (intercept parameter) and thus explain a variety of previously reported puzzling multiboson symmetrization phenomena. Using a class of analytically solvable Gaussian source models, with and without space-momentum correlations, we present a comprehensive overview of multiboson symmetrization effects on particle interferometry. For event ensembles of (approximately) fixed multiplicity, the residual correlations lead to a minimum in the correlation function at nonzero relative momentum, which can be practically exploited to search, in a model-independent way, for multiboson symmetrization effects in high-energy heavy-ion experiments. C

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“…While traditionally experimental effort in this field has centered around second order correlations, much progress has been made recently in accurately quantifying higher order correlations by means of so-called correlation integrals [2], to the point where these now yield statistically significant conclusions not only for moments but also for higher order cumulants. Because cumulants are so sensitive to details of the dynamics, they represent a stringent testing ground for proposed theoretical models.A number of theoretical predictions for higher orders exist [3][4][5]. In particular, Andreev, Plümer, and Weiner (APW) [6] have suggested a very general quantumstatistical framework, based on the classical source current formalism applied successfully in quantum optics.…”

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confidence: 99%

Sensitive Test for Models of Bose-Einstein Correlations

1997

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Accurate and sensitive measurements of higher order cumulants open up new approaches to pion interferometry. It is now possible to test whether a given theoretical prediction can match cumulants of both second and third order. Our consistency test utilizes a new sampling technique combining theoretically predicted functions with experimentally determined weights in a quasi -Monte Carlo approach. Testing a simplified version of a quantum statistics-based framework of Bose-Einstein correlations with this technique, we find that predictions for third order cumulants differ significantly from UA1 data. This discrepancy may point the way to more detailed dynamical information.[S0031-9007(97)03528-X] PACS numbers: 13.85. Hd, 05.30.Jp, 12.40.Ee, 25.75.Gz Pion interferometry has been a vital part of multiparticle physics for several decades [1]. While traditionally experimental effort in this field has centered around second order correlations, much progress has been made recently in accurately quantifying higher order correlations by means of so-called correlation integrals [2], to the point where these now yield statistically significant conclusions not only for moments but also for higher order cumulants. Because cumulants are so sensitive to details of the dynamics, they represent a stringent testing ground for proposed theoretical models.A number of theoretical predictions for higher orders exist [3][4][5]. In particular, Andreev, Plümer, and Weiner (APW) [6] have suggested a very general quantumstatistical framework, based on the classical source current formalism applied successfully in quantum optics. Its basic assumptions are (1) a Gaussian density functional for the classical random currents and (2) isotropy in isospin space. These two assumptions determine all higher order correlation functions in terms of the basic correlator, independent of the structure of the sources. All further assumptions concern only a more detailed specification of the space-time evolution of the sources. Thus, the APW framework includes as special cases more specific models of Bose-Einstein correlations such as the GKW model [7] and the approach of Biyajima et al. [4]. Because the APW model is so important, we test a simple version of its predictions below. It will also serve as an example to show how our approach works.While higher order cumulant measurements are valuable in their own right, they can be used to even greater effect in consistency checks: once an assumed parametrization is found to fit the second order data, the same set of parameter values ought to fit all predicted higher order correlations as well. Departing from tried and tested ways, we therefore concentrate not so much on numerical values of source parameters, but rather on utilizing their required constancy over cumulants of different orders to test for consistency and ultimately falsifiability of a given theoretical prediction.Pion interferometry measures correlations in terms of pair variables such as three-or four-momentum differences of two particles. In...

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Hadron interferometry revisited

Cited by 44 publications

References 16 publications

Freeze-out radii extracted from three-pion cumulants in pp, p–Pb and Pb–Pb collisions at the LHC

Freeze-out radii extracted from three-pion cumulants in pp, p–Pb and Pb–Pb collisions at the LHC

Multiboson Effects in Bose–Einstein Interferometry and the Multiplicity Distribution

Sensitive Test for Models of Bose-Einstein Correlations

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