EVIDENCE OF FRACTAL BEHAVIOR OF PIONS AND PROTONS IN HIGH ENERGY INTERACTIONS — AN EXPERIMENTAL INVESTIGATION

Fractals ◽  
2005 ◽  
Vol 13 (04) ◽  
pp. 325-339 ◽  
Author(s):  
DIPAK GHOSH ◽  
ARGHA DEB ◽  
SITARAM PAL ◽  
PRABIR KUMAR HALDAR ◽  
SWARNAPRATIM BHATTACHARYYA ◽  
...  
Keyword(s):  
Experimental Investigation ◽  
Specific Heat ◽  
Multiplicity Distribution ◽  
Azimuthal Angle ◽  
Factorial Moment ◽  
Fractal Dimensions ◽  
High Energy ◽  
Emission Angle ◽  
Compound Multiplicity ◽  
Multifractal Behavior

Different fractal methods (Factorial moment, Takagi moment) have been used for the analysis of fractal behavior of multiparticle production in π-- AgBr interaction at 350 GeV/c of compound multiplicity distribution in emission angle (cos θ) space and azimuthal angle (ϕ) space. The generalized fractal dimensions Dq are determined according to two methods. Results indicate multifractal behavior in compound multiplicity distribution. From the knowledge of Dq, the multifractal specific heat is calculated. Results are compared with the corresponding results of shower multiplicity.

LÉVY INDEX AND MULTIFRACTAL CHARACTERISTICS OF RING-LIKE AND JET-LIKE EVENTS IN HIGH ENERGY NUCLEAR COLLISIONS

Fractals ◽  
2010 ◽  
Vol 18 (01) ◽  
pp. 75-86
Author(s):  
DIPAK GHOSH ◽  
ARGHA DEB ◽  
PRABIR KUMAR HALDAR ◽  
SIMA GUPTAROY ◽  
APARNA DHAR (MITRA)
Keyword(s):  
Nuclear Emulsion ◽  
Azimuthal Angle ◽  
Factorial Moment ◽  
High Energy ◽  
Emission Angle ◽  
Two Dimensional ◽  
Nuclear Collisions ◽  
A Value ◽  
Index Analysis ◽  
Angle Space

We perform a Lévy index analysis of relativistic shower particles produced in the interactions of 32 S nuclei at 200A GeV with nuclear emulsion using the results of factorial moment Fq in two-dimensional anisotropic (η - ϕ) space. We carry out the same investigation for target fragments produced in 32 S - AgBr interactions at 200A GeV energy for both events in emission angle space and azimuthal angle space. The analysis reveals that for pions the value of Lévy index μ is 1.491 ± 0.025 for ring-like events and μ ~ 2.004 ± 0.054 for jet-like events which indicates different degree of multifractality. In case of target fragments jet-like events show a value of μ ~ 1.871 ± 0.010 whereas ring-like events yields an unphysical value (μ > 2) the implication of which need to be explored.

Fractality of emission of compound multiplicity in 12C–AgBr interactions at 4.5A GeV

2007 ◽  
Vol 85 (4) ◽  
pp. 385-392 ◽  
Author(s):  
D Ghosh ◽  
A Deb ◽  
S Biswas ◽  
P Mandal ◽  
P Kr. Haldar
Keyword(s):  
Particle Production ◽  
Azimuthal Angle ◽  
High Energy ◽  
Emission Angle ◽  
Nuclear Collisions ◽  
Compound Multiplicity ◽  
Generalized Dimensions ◽  
Multifractal Nature

This paper presents a fractality analysis of the compound multiplicity (pions + target protons) distribution in 12C–AgBr interactions at 4.5A GeV in terms of moments proposed by Takagi (Phys. Rev. Lett. 72, 32 (1994)) for both emission-angle (θ) and azimuthal-angle (ϕ) space. The generalized dimensions Dq, q = 1 to 5, have been calculated and compared to other studies. The analysis reveals the multifractal nature of particle production as a common feature of emission of different patterns in high-energy nuclear collisions. PACS Nos.: 25.75–q, 24.60 Ky

SOME CHARACTERISTICS OF THE COMPOUND MULTIPLICITY IN HIGH-ENERGY NUCLEUS–NUCLEUS INTERACTIONS

2011 ◽  
Vol 20 (08) ◽  
pp. 1735-1754 ◽  
Author(s):  
M. MOHERY ◽  
M. ARAFA
Keyword(s):  
Experimental Data ◽  
Impact Parameter ◽  
Mass Number ◽  
Multiplicity Distribution ◽  
High Energy ◽  
Projectile Nucleus ◽  
Target Mass ◽  
Compound Multiplicity ◽  
Multiplicity Distributions ◽  
The Impact

The present paper deals with the interactions of 22 Ne and 28 Si nuclei at (4.1–4.5)A GeV /c with emulsion. Some characteristics of the compound multiplicity nc given by the sum of the number of shower particles ns and grey particles ng have been investigated. The present experimental data are compared with the corresponding ones calculated according to modified cascade evaporation model (MCEM). The results reveal that the compound multiplicity distributions for these two reactions are consistent with the corresponding ones of MCEM data. It can also be seen that the peak of these distributions shifts towards a higher value of nc with increasing projectile mass. It may further be seen that the compound multiplicity distributions becomes broader with increasing target size and its width increases with the size of the projectile nucleus. In addition, it has been found that the MCEM can describe the compound multiplicity characteristics of the different projectile, target and the correlation between different emitted particles. The values of average compound multiplicity increase with increasing mass of the projectile. Furthermore, it is observed that while the value of 〈nc〉 depends on the mass number of the projectile Ap and the target mass number At, the value of the ratio 〈nc〉/D(nc) seems to be independent of Ap and At. The impact parameter is found to affect the shape of the compound multiplicity distribution. Finally, the dependence of the average compound multiplicity on the numbers of grey and black particles, and the sum of them, is obvious. The values of the slope have been found to be independent of the projectile nucleus.

FRACTAL BEHAVIOR OF NUCLEAR FRAGMENTS IN HIGH ENERGY INTERACTIONS

Fractals ◽  
2003 ◽  
Vol 11 (04) ◽  
pp. 331-343 ◽  
Author(s):  
DIPAK GHOSH ◽  
ARGHA DEB ◽  
MITALI MONDAL ◽  
SWARNAPRATIM BHATTACHARYYA ◽  
JAYITA GHOSH
Keyword(s):  
Specific Heat ◽  
Multifractal Analysis ◽  
Fractal Dimensions ◽  
High Energy ◽  
Factorial Moments

The multifractal analysis of data on nuclear fragments obtained from 28 Si-AgBr interactions at 14.5 A GeV is performed using three different methods (the factorial moments, G-moments and Takagi moments). The generalized fractal dimensions Dq is determined from all these methods. Data reflects multifractal geometry for the nuclear fragments. From the knowledge of Dq, the multifractal specific heat is calculated for this data and also for 16 O-AgBr interactions at 60 A GeV and 32 S-AgBr interactions at 200 A GeV.

Study of multiplicity correlations in nucleus–nucleus interactions at high energy

2015 ◽  
Vol 24 (06) ◽  
pp. 1550048 ◽  
Author(s):  
M. Mohery ◽  
E. M. Sultan ◽  
Shadiah S. Baz
Keyword(s):  
Experimental Data ◽  
Strong Correlation ◽  
Multiplicity Distribution ◽  
Charged Particles ◽  
High Energy ◽  
The Other ◽  
Heavy Particles ◽  
Projectile Nucleus ◽  
Compound Multiplicity ◽  
Experimental Values

In the present paper, some results on the correlations of the nucleus–nucleus interactions, at high energy, between different particle multiplicities are reported. The correlations between the multiplicities of the different charged particles emitted in the interactions of 22 Ne and 28 Si nuclei with emulsion at (4.1–4.5)A GeV/c have been studied. The correlations of the compound multiplicity nc, defined as the sum of both numbers of the shower particles ns and grey particles ng, have been investigated. The experimental data have been compared with the corresponding theoretical ones, calculated according to the modified cascade evaporation model (MCEM). An agreement has already been fairly obtained between the experimental values and the calculated ones. The dependence of the average compound multiplicity, on the numbers of shower, grey, black and heavy particles is obvious and the values of the slope have been found to be independent of the projectile nucleus. On the other hand, the variation of the average shower, grey, black and heavy particles is found to increase linearly with the compound particles. A strong correlation has been observed between the number of produced shower particles and the number of compound particles. Moreover, the value of the average compound multiplicity is found to increase with the increase of the projectile mass. Finally, an attempt has also been made to study the scaling of the compound multiplicity distribution showing that the compound multiplicity distribution is nearly consistent with the KNO scaling behavior.

MULTIFRACTALITY AND MULTIFRACTAL PIONIC SPECIFIC HEAT IN NUCLEAR COLLISIONS — TARGET EXCITATION DEPENDENCE

Fractals ◽  
2007 ◽  
Vol 15 (04) ◽  
pp. 391-398 ◽  
Author(s):  
DIPAK GHOSH ◽  
ARGHA DEB ◽  
SRIMONTI DUTTA
Keyword(s):  
Phase Space ◽  
Specific Heat ◽  
Hurst Exponent ◽  
Factorial Moment ◽  
Two Dimensions ◽  
One Dimensional ◽  
Nuclear Collisions ◽  
Generalized Dimension ◽  
Fluctuation Pattern ◽  
Multifractal Behavior

This paper deals with the target excitation dependence of the multifractal specific heat of pions produced in nucleus-nucleus collisions at 60 and 200 AGeV. Fluctuation pattern of pions is studied in two dimensions considering anisotropy of phase space. The parameter characterizing the anisotropy of phase space, Hurst exponent, is extracted by fitting one-dimensional factorial moment saturation curves. Values of intermittency exponent αq and generalized dimension Dq are determined. The fluctuation pattern reveals multifractal behavior at all target excitations at both energies. The multifractal specific heat c is found to depend on target excitation and the dependence is found to be more pronounced at lower energy. The results are discussed in detail.

FLUCTUATION PATTERN OF SHOWER AND COMPOUND MULTIPLICITY DISTRIBUTIONS IN NUCLEUS–NUCLEUS INTERACTIONS AT A FEW GeV

2011 ◽  
Vol 20 (05) ◽  
pp. 1287-1306
Author(s):  
DIPAK GHOSH ◽  
ARGHA DEB ◽  
MADHUMITA BANERJEE LAHIRI ◽  
PASUPATI MANDAL ◽  
SUBRATA BISWAS ◽  
...  
Keyword(s):  
Negative Binomial Distribution ◽  
Hurst Exponent ◽  
Multiplicity Distribution ◽  
Negative Binomial ◽  
Factorial Moment ◽  
Two Dimensional ◽  
Fluctuation Pattern ◽  
Frame Work ◽  
Compound Multiplicity ◽  
Multiplicity Distributions

This work presents a study on the multiplicity distribution of shower and compound multiplicity (pions + target protons) emitted from 12 C – AgBr and 24 Mg – AgBr interactions at 4.5 AGeV in terms of negative binomial distribution (NBD) and also on the fluctuation pattern of shower and compound multiplicity in the frame work of two-dimensional factorial moment methodology using the concept of Hurst exponent.

Evidence of strong two-particle and three-particle dynamical correlation in compound multiplicity distribution in nucleus–nucleus interactions at 4.5 AGeV

2006 ◽  
Vol 84 (11) ◽  
pp. 1007-1016 ◽  
Author(s):  
Dipak Ghosh ◽  
Argha Deb ◽  
Subrata Biswas ◽  
Pasupati Mandal ◽  
Swarnapratim Bhattacharyya ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Multiplicity Distribution ◽  
Emission Angle ◽  
Experimental Results ◽  
Data Sets ◽  
Dynamical Correlation ◽  
Particle Correlation ◽  
Production Processes ◽  
Angle Space ◽  
Compound Multiplicity

This paper reports an investigation of two- and three-particle dynamical correlation in multiparticle production processes in terms of compound multiplicity (proton and pion) distributions. The data have been taken from 24Mg–AgBr and 12C–AgBr interactions at 4.5 AGeV. The experimental results are compared with those of Monte Carlo simulated events, assuming an independent emission of the compound multiplicity. The data exhibit strong two- and three-particle correlation in both forward and backward hemispheres in emission angle space for both data sets. PACS Nos.: 25.75–q, 24.60 Ky

Experimental investigation of opacity models for stellar interior, inertial fusion, and high energy density plasmas

2009 ◽  
Vol 16 (5) ◽  
pp. 058101 ◽  
Author(s):  
J. E. Bailey ◽  
G. A. Rochau ◽  
R. C. Mancini ◽  
C. A. Iglesias ◽  
J. J. MacFarlane ◽  
...  
Keyword(s):  
Experimental Investigation ◽  
Energy Density ◽  
High Energy ◽  
High Energy Density ◽  
Inertial Fusion ◽  
Stellar Interior ◽  
High Energy Density Plasmas
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