A search for multiplicity fluctuations in high energy nucleus-nucleus collisions

Åkesson, T. P. A.; Almehed, S.; Angelis, A.L.S.; Aoki, S.; Armenise, N.; Atherton, H.; Aubry, P.; Baroni, G.; Bartels, H. W.; Beaudoin, G.; Beaulieu, J. M.; Beker, H.; Benary, O.; Bettoni, D.; Bisi, V.; Blevis, I.; Bøggild, H.; Breslin, A. C.; Cerello, P.; Cleland, W.; Clemen, M.; Collick, B.; Corriveau, F.; Dagan, S.; Davis, D. H.; Dederichs, K.; Dell'Uomo, S.; Depommier, P.; Devenish, R.C.E.; DiGiacomo, N.J.; Liberto, S. Di; Dodd, J.; Dolgoshein, B. A.; Drees, A.; En’yo, H.; Erlandsson, B.; Esten, M.J.; Fabjan, C.; Fischer, P.; Fraenkel, Z.; Gaidot, A.; Giubellino, P.; Glässel, P.; Goerlach, U.; Grella, G.; Haglund, Richard F.; Hamel, L. A.; Hecke, H. Van; Hedberg, V.; Heifetz, R.; Hölscher, A.; Hoshino, K.; Ishigami, Takahiro; Jacak, B.; Jarlskog, G.; Johansson, S.; Kazuno, M.; Kitamura, Hirokazu; Kobayashi, Mie; Kobayashi, Yasunori; Kodama, K.; Kraner, H.W.; Kroh, V.; Lamarche, F.; Leroy, C.; Lissauer, D.; London, G.W.; Lörstad, B.; Lounis, A.; Marzari‐Chiesa, A.; Masera, M.; Mazzoni, M. A.; Mazzucato, E.; McCubbin, M.; McCubbin, N. A.; McGaughey, P. L.; Meddi, F.; Miyanishi, M.; Mjörnmark, U.; Muciaccia, M. T.; Muraviev, S.; Murray, M.; Nakamura, Mitsuhiro; Nakanishi, S.; Nakazawa, Kimitaka; Neubert, Matthias; Nilsson, S.; Niu, K.; Niwa, K.; Nomura, M. A.; Olsen, L.; Oren, Y.; Pansart, J. P.; Park, Y. M.; Pfeiffer, A.; Piuz, F.; Polychronakos, V.; Poulard, G.; Price, Michael; Rahm, D.; Ramello, L.; Romano, G.; Rosa, G.; Šándor, L.; Sartori, Sabrina; Schukraft, J.; Sekimoto, M.; Selldén, B.; Seman, M.; Shibuya, H.; Shmeleva, A.; Sidorov, V.; Simone, S.; Sirois, Y.; Sletten, H.; Smirnov, S. Yu.; Soltani, J.; Sondheim, W. E.; Specht, H. J.; Stumer, I.; Sunier, J. W.; Tajima, H.; Thodberg, Hans Henrik; Thompson, J.; Tikhomirov, V. O.; Tovee, D.N.; Tserruya, I.; Tsukagoshi, Kazuhito; Umezawa, Y.; Ushida, N.; Vasseur, G.; Veenhof, R.; Watanabe, Shuji; Wigmans, R.; Yepes, P.

doi:10.1016/0370-2693(90)90877-9

Cited by 35 publications

(3 citation statements)

References 13 publications

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“…In order to study the intermittency in multiparticle production, the whole pseudorapidity phase space is divided into number of bins, M = 2-30, and the average scaled factorial moments, F q corr H and F q V , for q = 2-6 are calculated using equations (10) and (12), respectively. In figure 2, ln F q corr H and ln F q V are displayed as a function of ln M for our data.…”

Section: Scaled Factorial Momentsmentioning

confidence: 99%

“…The values of F q for purely statistical fluctuations saturate with decreasing phase space size, whereas in dynamical fluctuation F q moments are supposed to increase with decreasing phase space size and exhibit power law behaviour. Evidence for intermittency received tremendous support when this behaviour was observed in electronpositron annihilation [3][4][5], hadron-hadron [6], hadron-nucleus [7,8] and nucleus-nucleus collisions [9][10][11]. A comprehensive review on the subject can be found in [12].…”

Section: Introductionmentioning

confidence: 99%

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A comparative study of multifractal moments in relativistic heavy-ion collisions

Ahmad¹,

Ahmad²

2006

J. Phys. G: Nucl. Part. Phys.

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A study of the fractal structure of relativistic shower particles produced in the interactions of 28 Si and 12 C nuclei at 4.5 A GeV/c with nuclear emulsion using the methods of Takagi moments, T q , factorial moments, F q , and modified multifractal moments, G q , has been performed. The dependences of these moments on the number of bins M are found to follow power law behaviour for the experimental data in pseudorapidity phase space. The calculated values of the generalized fractal dimensions, D q , are found to decrease with the increasing order of moments, q. This observation indicates the existence of multifractality and a self-similar cascade mechanism in multiparticle production. The multifractal Bernoulli representation D q = D ∞ + c ln q/(q − 1) is found to support the linear dependence of D q on ln q/(q − 1). Finally, from the analysis of the data it can be concluded that no universality in the values of the multifractal specific heat, c, calculated from T q , F q and G q moments is found. Some consistency seems to be observed in the values of the specific heat obtained from the Takagi method.

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Section: Scaled Factorial Momentsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A comparative study of multifractal moments in relativistic heavy-ion collisions

Ahmad¹,

Ahmad²

2006

J. Phys. G: Nucl. Part. Phys.

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“…Hwa [4] [5] for a systematic study of the fractal properties and it also provides an effective means of defining non-uniform rapidity distribution of produced particles in nuclear collisions. The aim of this technique is to verify the authenticity of basic scaling properties, which occur in multifractal theories, when applied to particle production for the dynamical mechanism responsible for the hadronisation process in nucleus-nucleus (AA) collisions [6] [7] [8]. The explanation of cascading as self-similar process in analogy with geometrical objects such as fractals has been allowed by scaling law [9].…”

Section: Introductionmentioning

confidence: 99%

A Study of Multifractal Analysis in <sup>16</sup>O-AgBr Collisions at 60A and 200A GeV

Ahmad¹,

Ahmad²,

Singh³

et al. 2018

JMP

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A multifractal analysis to study the multiparticle dynamics in 60A and 200A GeV,16 O-AgBr collisions has been performed in the pseudorapidity phase space. Multifractal moments, G q , as the function of pseudorapidity bin size for different order of the moments, q, have been calculated. The power-law behaviour has been observed in the considered data sets. The variations of multifractal dimension, D q , and the multifractal spectral function, ( ) q f α , with order of the moments, q, have been studied thoroughly. D q is found to decrease with increasing order of moments, q, indicating thereby a self-similar behaviour in the multiparticle production for the considered collisions. We have also found a concave downward curve of multifractal spectral function with maximum at q = 0.

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Physics of Relativistic Nuclear Collisions

Otterlund

1993

Particle Production in Highly Excited Matter

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A search for multiplicity fluctuations in high energy nucleus-nucleus collisions

Cited by 35 publications

References 13 publications

A comparative study of multifractal moments in relativistic heavy-ion collisions

A comparative study of multifractal moments in relativistic heavy-ion collisions

A Study of Multifractal Analysis in <sup>16</sup>O-AgBr Collisions at 60A and 200A GeV

Physics of Relativistic Nuclear Collisions

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A search for multiplicity fluctuations in high energy nucleus-nucleus collisions

Cited by 35 publications

References 13 publications

A comparative study of multifractal moments in relativistic heavy-ion collisions

A comparative study of multifractal moments in relativistic heavy-ion collisions

A Study of Multifractal Analysis in &lt;sup&gt;16&lt;/sup&gt;O-AgBr Collisions at 60A and 200A GeV

Physics of Relativistic Nuclear Collisions

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A Study of Multifractal Analysis in <sup>16</sup>O-AgBr Collisions at 60A and 200A GeV