Binomial acceptance corrections for particle number distributions in high-energy reactions

Savchuk, О.; Poberezhnyuk, Roman V.; Vovchenko, Volodymyr; Gorenstein, M. I.

doi:10.1103/physrevc.101.024917

Cited by 27 publications

(31 citation statements)

References 41 publications

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“…Equations (35)-(37) coincide with those obtained after the binomial acceptance correction procedure (see Ref. [24] for details). The binomial acceptance procedure is suitable for describing the global charge conservation effects in noninteracting systems.…”

Section: A Charge Conservation Effectssupporting

confidence: 53%

“…Within a statistical approach the subset of measured particles can be treated as a subsystem with finite volume V , whereas nondetected particles play the role of the finite reservoir (thermostat). In this situation, the effects of exact charge conservation on fluctuations are usually modeled by a binomial acceptance correction procedure [19,[21][22][23][24]. This procedure assumes that the probability to be measured is the same for each particle of a given type and it is independent of any interparticle correlations.…”

Section: Introductionmentioning

confidence: 99%

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Critical point fluctuations: Finite size and global charge conservation effects

et al. 2020

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We investigate simultaneous effects of finite system size and global charge conservation on thermal fluctuations in the vicinity of a critical point. For that we consider a finite interacting system, which exchanges particles with a finite reservoir (thermostat), comprising a statistical ensemble that is distinct from the common canonical and grand canonical ensembles. As a particular example the van der Waals model is used. The global charge conservation effects strongly influence the cumulants of particle number distribution when the system size is comparable to that of the reservoir. If the system size is large enough to capture all the physics associated with the interactions, the global charge conservation effects can be accurately described and corrected for analytically, within a recently developed subensemble acceptance method. The finite size effects start to play a significant role when the correlation length grows large due to proximity of the critical point or when the system is small enough to be comparable to an eigenvolume of an individual particle. We discuss our results in the context of fluctuation measurements in heavy-ion collisions.

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Section: A Charge Conservation Effectssupporting

confidence: 53%

Section: Introductionmentioning

confidence: 99%

Critical point fluctuations: Finite size and global charge conservation effects

et al. 2020

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“…In the absence of global conservation, the total particle number B fluctuates and this is characterized by the grand-canonical cumulants κ gce n . As the probability that a given particle ends up inside or outside the momentum space acceptance ∆p is independent from all other particles, the grand-canonical cumulants κ gce n,in/out are obtained by convoluting the underlying distributions with the binomial distribution [27,28,30] to κ gce n . For example, the leading three κ gce n,in read…”

Section: B the Independence Of The In/out Distributionsmentioning

confidence: 99%

Correcting event-by-event fluctuations in heavy-ion collisions for exact global conservation laws with the generalized subensemble acceptance method

Vovchenko

2021

Preprint

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We introduce the subensemble acceptance method 2.0 (SAM-2.0) -a procedure to correct cumulants of a random number distribution inside a subsystem for the effect of exact global conservation of a conserved quantity to which this number is correlated, with applications to measurements of event-by-event fluctuations in heavy-ion collisions. The method expresses the corrected cumulants in terms of the cumulants inside and outside the subsystem that are not subject to the exact conservation. The derivation assumes that all probability distributions associated with the cumulants are peaked at the mean values but are otherwise of arbitrary shape. The formalism reduces to the original SAM [1] when applied to a coordinate space subvolume of a uniform thermal system. As the new method is restricted neither to the uniform systems nor to the coordinate space, it is applicable to fluctuations measured in heavy-ion collisions at various collision energies in different momentum space acceptances. The SAM-2.0 thus brings the experimental measurements and theoretical calculations of event-by-event fluctuations closer together, as the latter are typically performed without the account of exact global conservation.

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“…Global conservation effects are non-negligible whenever ∆Y acc is comparable to ∆Y 4π . The magnitude of these effects, as well as ways to deal with them, have been studied in the past using a picture of an uncorrelated hadron gas with a single globally conserved charge in a number of papers [35][36][37][38][39][40][41][42]. The analysis in ref.…”

Section: Jhep10(2020)089mentioning

confidence: 99%

Cumulants of multiple conserved charges and global conservation laws

Vovchenko

Poberezhnyuk

Koch

2020

J. High Energ. Phys.

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We analyze the behavior of cumulants of conserved charges in a subvolume of a thermal system with exact global conservation laws by extending a recently developed subensemble acceptance method (SAM) [1] to multiple conserved charges. Explicit expressions for all diagonal and off-diagonal cumulants up to sixth order that relate them to the grand canonical susceptibilities are obtained. The derivation is presented for an arbitrary equation of state with an arbitrary number of different conserved charges. The global conservation effects cancel out in any ratio of two second order cumulants, in any ratio of two third order cumulants, as well as in a ratio of strongly intensive measures Σ and ∆ involving any two conserved charges, making all these quantities particularly suitable for theory-to-experiment comparisons in heavy-ion collisions. We also show that the same cancellation occurs in correlators of a conserved charge, like the electric charge, with any non-conserved quantity such as net proton or net kaon number. The main results of the SAM are illustrated in the framework of the hadron resonance gas model. We also elucidate how net-proton and net-Λ fluctuations are affected by conservation of electric charge and strangeness in addition to baryon number.

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Binomial acceptance corrections for particle number distributions in high-energy reactions

Cited by 27 publications

References 41 publications

Critical point fluctuations: Finite size and global charge conservation effects

Critical point fluctuations: Finite size and global charge conservation effects

Correcting event-by-event fluctuations in heavy-ion collisions for exact global conservation laws with the generalized subensemble acceptance method

Cumulants of multiple conserved charges and global conservation laws

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