Self-affine fractality in π+p and K+p collisions at 250 GeV / c

Agababyan, N. M.; Atayan, M.; Charlet, M.; Czyzewski, J.; DeWolf, E. A.; Dziunikowska, K.; Endler, A. M. F.; Garutchava, Z. Sh.; Gulkanyan, H.; Hakobyan, R.; Karamyan, J.K.; Kisielewska, D.; Kittel, W.; Liu, L.S.; Mehrabyan, S.; Metreveli, Z.; Olkiewicz, K.; Rizatdinova, F.; Shabalina, E.; Smirnova, L. N.; Tabidze,; Тихонова, Л. А.; Tkabladze, A.; Tomaradze, A.; Verbeure, F.; Wu, Y.; Zotkin, S. A.

doi:10.1016/0370-2693(96)00749-6

Cited by 75 publications

(32 citation statements)

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“…In Fig's.1(a) and (b) are shown the results from NA22 [9] and NA27 [10] respectively. In order to characterize the different ways of phase space partition, a parameter H called Hurst exponent has been used, which is defined as…”

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confidence: 99%

Qualitative difference between the dynamics of particle production in soft and hard processes of high energy collisions

Liu

Lianshou

1999

Phys. Rev. D

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The qualitative difference between the anomalous scaling properties of hadronic final states in soft and hard processes of high energy collisions is studied in some detail. It is pointed out that the experimental data of e + e − collisions at E cm =91.2 GeV from DELPHI indicate that the dynamical fluctuations in e + e − collisions are isotropical, in contrast to the anisotropical fluctuations oberserved in hadronhadron collision experiments. This assertion is confirmed by the Monte Carlo simulation using the Jetset7.4 event generator.PACS number: 13.85 Hd Keywords: Multiparticle production, Hard and soft processes, Dynamic fluctuations, Self-affine fractal Quantum Chromodynamics (QCD) [1] as a candidate of the basic theory of strong interaction has been very successful in the study of hard processes, such as scaling violation in deep inelastic scattering (DIS), hadronic-jet production in e + e − annihilation, large-p t -jet production in hadron-hadron collisions etc.. In such processes there exist large scales so that QCD can be solved perturbatively due to asymptotic freedom.On the contrary, in soft-hadronic processes, e.g. hadron-hadron, hadron-nucleus and nucleus-nucleus collisions below CERN collider energies, there is no large scale present, and the interaction becomes so strong that pQCD is no longer applicable. In these cases, the problem is hard to be solved analytically from the first principle and phenomenological regularities extracted from experiments have to be ultilized to increase our knowledge on the property of the basic dynamics in such processes.In this respect, a comparison of the phenomenology of multiparticle final states in soft and hard processes is worthwhile. Such comparison is helpful in getting information about the similarity and distinction between the dynamics of particle production in these two kinds of processes. In particular, to find out the qualitative differences, if any, between them is especially interesting.In this paper we will show that such a qualitative difference does exist in the anomalous scaling property of final-state particle distribution. It turns out that the higher-dimensional factorial moments (FM) do have anomalous scaling property (obey a power law with the diminishing of phase space) when and only when the partition of phase space is anisotropic for soft processes while isotropic for hard ones. This means that the dynamical fluctuations are anisotropic in the former case while isotropic in the latter. This qualitative distinction may serve as a useful criterion in the study of the basic dynamics of particle production in these two kinds of processes.Let us first review briefly the status of dynamical-fluctuation study in high energy collisions [2]. The interest in this study was first stimulated by the experimental finding in 1983 of unexpectedly large local fluctuations (2 times the average) in a high multiplicity event from JACEE [3]. The same phenomena were observed latter also in accelerator experiments, the local fluctuations being as large as...

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confidence: 99%

Qualitative difference between the dynamics of particle production in soft and hard processes of high energy collisions

Liu

Lianshou

1999

Phys. Rev. D

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“…In hadron-hadron collisions, the anomalous scaling of NFM was observed [12,13] to be anisotropic (selfaffine fractal). However, the anomalous scaling of NFM in e + e − collisions closely obeyed the scaling properties in Eq.…”

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confidence: 99%

Scaling properties of multiplicity fluctuations in heavy-ion collisions simulated by AMPT model

et al. 2013

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Three dimensional, as well as one-and two-dimensional, studies of multiplicity fluctuation are performed using AMPT model to generate central Au-Au collision events at √ sNN = 200 GeV. Two-and three-dimensional normalized factorial moments in rapidity, transverse momentum and azimuthal angle are found to exhibit power-low scaling when partitioning with the same number of bins in each direction, indicating that the fluctuation are isotropic, i.e the fractality is self-similar in multiparticle production of central Au-Au collisions. Further, we measured the parameter ν which it characterizes the intermittency indices derived in particular analysis. It is found that our model result νyϕp t = 1.86 ± 0.07 is larger than ν = 1.304, which is the value of Ginzburg-Landau type of phase transition. We also explored the intermittent or fluctuational dependence on the transverse momentum. The result shows that the intermittency or fluctuation increase rapidly with the increasing of transverse momentum.

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“…Recently, the expected anomalous scaling has been observed successfully in both the data of π + p and K + p collisions at 250 GeV/c from NA22 [5] and the data of pp collisions at 400 GeV/c [6] from NA27, under the assumption that the dynamical fluctuations are anisotropic in longitudinal-transverse planes [7] .…”

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confidence: 86%

“…The question in front of us is as the following: When we obtain successfully a strict scaling of normalized factorial moments through a proper way of phase space division, as for example in the cases of Ref. 's [5] and [6], we are ready to get the slopes of the lnF q ∼lnM plots, which gives the IM indices and Rényi dimensions. Then, how to extract a characteristic quantity describing the strength of dynamical fluctuations from the values of these indices and dimensions.…”

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Scaling exponents and fluctuation strength in high energy collisions

Lianshou

1998

Physics Letters B

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The information on dynamical fluctuations that can be extracted from the anomalous scaling observed recently in hadron-hadron collision experiments is discussed in some detail. A parameter "effective fluctuation strength" is proposed to estimate the strength of dynamical fluctuations. The method for extracting its value from the experimentally observed quantities is given. Some examples for the application of this method to real experimental data are presented.PACS number: 13.85 Hd

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Self-affine fractality in π+p and K+p collisions at 250 GeV / c

Cited by 75 publications

References 11 publications

Qualitative difference between the dynamics of particle production in soft and hard processes of high energy collisions

Qualitative difference between the dynamics of particle production in soft and hard processes of high energy collisions

Scaling properties of multiplicity fluctuations in heavy-ion collisions simulated by AMPT model

Scaling exponents and fluctuation strength in high energy collisions

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