Multidimensional intermittency analysis in ultrarelativistic heavy ion interaction

Ghosh, Dipak; Jafry, Abdul Kayum; Deb, Argha; Sarkar, S.; Chattopadhyay, Rik; Das, Susobhan

doi:10.1103/physrevc.59.2286

Cited by 34 publications

(32 citation statements)

References 19 publications

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“…Event-by-event analysis demands the separation of events into ensembles of collisions of different projectiles with hydrogen (H), light nuclei (CNO) and heavy nuclei (AgBr [20] and 140 events of 32 S-AgBr interactions at 200 AGeV [21]. The emission angle (θ) and azimuthal angle (φ) are measured for each track with respect to the beam directions by taking readings of the coordinates of the interaction point (X 0 , Y 0 , Z 0 ), coordinates (X 1 , Y 1 , Z 1 ) at the end of the linear portion of each secondary track and coordinate (X i , Y i , Z i ) of a point on the incident beam.…”

Section: Methodsmentioning

confidence: 99%

Rapidity dependence of multiplicity fluctuations and correlations in high-energy nucleus–nucleus interactions

et al. 2011

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The multiplicity fluctuations of the produced pions were studied using scaled variance method in 16 O-AgBr interactions at 2.1 AGeV, 24 Mg-AgBr interactions at 4.5 AGeV, 12 CAgBr interactions at 4.5 AGeV, 16 O-AgBr interactions at 60 AGeV and 32 S-AgBr interactions at 200 AGeV at two different binning conditions. In the first binning condition, the rapidity interval was varied in steps of one centring about the central rapidity until it reached 14. In the second case, the rapidity interval was increased in steps of 1.6 up to 14.4. Multiplicity distributions and their scaled variances were presented as a function of the dependence on the rapidity width for both the binning conditions. Multiplicity fluctuations were found to increase with the increase of rapidity interval and later found to saturate at larger rapidity window for all the interactions and in both the binning conditions. Multiplicity fluctuations were found to increase with the energy of the projectile beam. The values of the scaled variances were found to be greater than one in all the cases in both the binning conditions indicating the presence of correlation during the multiparticle production process in high-energy nucleus-nucleus interactions. Experimental results were compared with the results obtained from the Monte Carlo simulated events for all the interactions. The Monte Carlo simulated data showed very small values of scaled variance suggesting very small fluctuations for the simulated events. Experimental results obtained from 16 O-AgBr interactions at 60 AGeV and 32 SAgBr interactions at 200 AGeV were compared with the events generated by Lund Monte Carlo code (FRITIOF model). FRITIOF model failed to explain the multiplicity fluctuations of pions emitted from 16 O-AgBr interactions at 60 AGeV for both the binning conditions. However, the experimental data agreed well with the FRITIOF model for 32 S-AgBr interactions at 200 AGeV.

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Section: Methodsmentioning

confidence: 99%

Rapidity dependence of multiplicity fluctuations and correlations in high-energy nucleus–nucleus interactions

et al. 2011

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“…25, the minimum should be searched for in different M ranges so as to probe different regimes of multihadron production at different scales as indicated by high-order factorial moments, a feature not observed in the full M range λ q studies where saturation is reached at certain q values [16,27,28]. Such minima in limited M ranges were indeed found in hadronic [29] and nuclear [25,30,31] collisions. So far, most of the analyses were performed in one-dimension.…”

Section: Introductionmentioning

confidence: 97%

“…So far, most of the analyses were performed in one-dimension. Only limited attempts have been made to study the nonthermal phase transition in higher dimensions [13,27,31]. Therefore, in this paper, we have carried out a detailed study for the evidence of a nonthermal phase transition in the two-dimensional polar (emission) angle versus azimuthal angle phase space considering the anisotropy of multiparticle production in the π − -AgBr interaction at 350 GeV/c.…”

Section: Introductionmentioning

confidence: 98%

Self-affine fluctuations of pions and protons and nonthermal phase transition in hadron–nucleus interactions

Ghosh¹,

Deb²,

Pal³

et al. 2008

Can. J. Phys.

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The paper reports a study revealing self-affine fluctuations in pion, proton, and compound multiplicity (of pions combined with protons) spectra obtained from the interactions of 350 GeV pions with AgBr nuclei. The study is performed in the transformed two-dimensional phase space of the emission and azimuthal angles using the factorial moment methodology and the concept of the Hurst exponent. Evidence of a nonthermal phase transition is obtained for self-affine fluctuations of pions along with an indication for such a regime to be seen in similar fluctuations of proton and compound multiplicity distributions. The study bridges the anisotropic nature of the multiparticle production process and an evidence of the nonthermal phase transition with similar earlier findings from hadron-hadron and nucleus-nucleus interactions and shows the same effects to be peculiar features of the multiplicity distributions of the different species of particles produced. All this brings important information about the underlying dynamics of the hadroproduction process. PACS Nos.: 25.80.Hp, 24.60.Ky, 13.85.−t Résumé : Nous présentons une étude des fluctuations auto-affines dans les spectres de pions, protons et systèmes composés (des pions avec des protons) obtenues dans l'interaction de pions de 350 GeV sur des noyaux AgBr. Nous complétons cette étude en transformant l'espace de phase à deux dimensions des angles d'émission et azymutal en utilisant la méthode du moment factoriel et le concept de l'exposant de Hurst. Les résultats indiquent une transition de phase non thermique pour les fluctuations auto-affines des pions et suggèrent la même chose pour les protons et les systèmes composés.L'étude fait le pont entre la nature anisotrope des procédés de production multiparticules et l'évidence d'une transition de phase non thermique avec des résultats similaires pour des interactions hadron-hadron et noyau-noyau et montre que ces mêmes effets sont des caractéristiques particulières des distributions de multiplicité de différents types de particules produites. Tout ceci apporte un éclairage important sur la dynamique sous-jacente de production hadronique.[Traduit par la Rédaction]

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“…In the past few years many workers reported on large density fluctuations in different interacting systems [6][7][8][9][10][11][12]. Several theoretical interpretations of the origin of large fluctuations have been proposed.…”

Section: Introductionmentioning

confidence: 99%

“…Bialas and Peschanski [4] have called such multiplicity fluctuations 'intermittency' which is based on the idea of analogous bursts of turbulence in the theory of chaos [5]. During recent years the subject of intermittency has gained significant interest in high-energy nuclear collisions [6][7][8][9][10][11][12]. It is the phenomenon of power-law behaviour of scaled factorial moment with decreasing bin size and is capable of extracting the non-statistical fluctuations after eliminating the statistical part.…”

Section: Introductionmentioning

confidence: 99%

Evidence of self-affine multiplicity scaling of charged-particle multiplicity distribution in hadron-nucleus interaction

Ghosh

Deb

Pal³

et al. 2007

Pramana - J Phys

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A self-affine analysis of charged-particle multiplicity distribution (protons + pions) in π − -AgBr interaction at 350 GeV/c is performed according to the twodimensional factorial moment methodology using the concept of Hurst exponent in X cos θ -X φ phase space. Comparing with the results obtained from self-similar analysis, the selfaffine analysis shows a better power-law behaviour. Corresponding results are compared with shower multiplicity distribution (pions). Multifractal behaviour is observed for both types of distributions.

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Multidimensional intermittency analysis in ultrarelativistic heavy ion interaction

Cited by 34 publications

References 19 publications

Rapidity dependence of multiplicity fluctuations and correlations in high-energy nucleus–nucleus interactions

Rapidity dependence of multiplicity fluctuations and correlations in high-energy nucleus–nucleus interactions

Self-affine fluctuations of pions and protons and nonthermal phase transition in hadron–nucleus interactions

Evidence of self-affine multiplicity scaling of charged-particle multiplicity distribution in hadron-nucleus interaction

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