scholarly journals Wavelet Analysis of Shower Track Distribution in High-Energy Nucleus-Nucleus Collisions

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Provash Mali ◽  
Soumya Sarkar ◽  
Amitabha Mukhopadhyay ◽  
Gurmukh Singh
Keyword(s):  
Wavelet Analysis ◽  
Cluster Formation ◽  
High Energy ◽  
Multiparticle Production ◽  
Quantum Molecular Dynamics ◽  
Emission Data ◽  
Local Cluster ◽  
Local Maxima ◽  
A Charge ◽  
Bose Einstein

A continuous wavelet analysis is performed for pattern recognition of charged particle emission data in28Si-Ag/Br interaction at 14.5A GeV and in32S-Ag/Br interaction at 200A GeV. Making use of the event-wise local maxima present in the scalograms, we try to identify the collective behavior in multiparticle production, if there is any. For the first time, the wavelet results are compared with a model prediction based on the ultrarelativistic quantum molecular dynamics (UrQMD), where we adopt a charge reassignment algorithm to modify the UrQMD events to mimic the Bose-Einstein type of correlation among identical mesons—a feature known to be the most dominating factor responsible for local cluster formation. Statistically significant deviations between the experiment and the simulation are interpreted in terms of nontrivial dynamics of multiparticle production.

Azimuthal structure of charged particle emission in 28Si–Ag/Br interaction at 14.5A GeV and 32S–Ag/Br interaction at 200A GeV

2014 ◽  
Vol 23 (05) ◽  
pp. 1450027 ◽  
Author(s):  
Provash Mali ◽  
Amitabha Mukhopadhyay ◽  
Soumya Sarkar ◽  
Gurmukh Singh
Keyword(s):  
Molecular Dynamics ◽  
Relativistic Quantum ◽  
Particle Emission ◽  
Photographic Emulsion ◽  
Quantum Molecular Dynamics ◽  
Emission Data ◽  
Shock Wave Formation ◽  
A Charge ◽  
Bose Einstein ◽  
Charged Particle Emission

Presence of unusual azimuthal structures in the particle emission data obtained from the 28 Si – Ag / Br interaction at 14.5A GeV and from the 32 S – Ag / Br interaction at 200A GeV, are investigated in the framework of the Cherenkov gluon emission and/or Mach shock wave formation in nuclear/partonic medium. Nuclear photographic emulsion technique is used to collect the experimental data. The experiment is compared with the predictions of two simulations, namely (i) the Relativistic Quantum Molecular Dynamics (RQMD) and (ii) the Ultra-relativistic Quantum Molecular Dynamics (UrQMD). A charge reassignment algorithm is implemented over the outputs of the simulations to mimic the Bose–Einstein correlation (BEC) effect. Our analysis confirms presence of jet-like structures in both experiments beyond statistical noise. Such structures are more pronounced in the 32 S data than in the 28 Si data.

Wavelet analysis of particle density functions in nucleus–nucleus interactions

2018 ◽  
Vol 27 (01) ◽  
pp. 1850009 ◽  
Author(s):  
S. K. Manna ◽  
P. K. Haldar ◽  
P. Mali ◽  
A. Mukhopadhyay ◽  
G. Singh
Keyword(s):  
Wavelet Analysis ◽  
Particle Density ◽  
Relativistic Quantum ◽  
Cluster Formation ◽  
Laboratory System ◽  
Quantum Molecular Dynamics ◽  
Singly Charged ◽  
Bose Einstein ◽  
Pseudorapidity Density ◽  
Einstein Correlation

A continuous wavelet analysis is performed for pattern recognition of the pseudorapidity density profile of singly charged particles produced in [Formula: see text]O+Ag/Br and [Formula: see text]S+Ag/Br interactions, each at an incident energy of [Formula: see text] GeV per nucleon in the laboratory system. The experiments are compared with a model prediction based on the ultra-relativistic quantum molecular dynamics (UrQMD). To eliminate the contribution coming from known source(s) of particle cluster formation like Bose–Einstein correlation (BEC), the UrQMD output is modified by “an algorithm that mimics the BEC as an after burner.” We observe that for both interactions particle clusters are found at same pseudorapidity locations at all scales. However, the cluster locations in the [Formula: see text]O+Ag/Br interaction are different from those found in the [Formula: see text]S+Ag/Br interaction. Significant differences between experiments and simulations are revealed in the wavelet pseudorapidity spectra that can be interpreted as the preferred pseudorapidity values and/or scales of the pseudorapidity interval at which clusters of particles are formed. The observed discrepancy between experiment and corresponding simulation should therefore be interpreted in terms of some kind of nontrivial dynamics of multiparticle production.

Forward–backward multiplicity correlation and event-by-event multiplicity fluctuation in nucleus–nucleus collisions at 200A GeV

2021 ◽  
pp. 2150021
Author(s):  
Sanjib Kumar Manna ◽  
Amitabha Mukhopadhyay ◽  
Provash Mali
Keyword(s):  
Transport Model ◽  
Relativistic Quantum ◽  
Cluster Formation ◽  
Simulated Data ◽  
Correlation Effect ◽  
Quantum Molecular Dynamics ◽  
Particle Correlation ◽  
Statistical Measures ◽  
Singly Charged ◽  
Bose Einstein

Correlation among singly charged particles emitted in the forward and backward pseudo-rapidity cones is measured in [Formula: see text]O-Ag/Br and [Formula: see text]S-Ag/Br interactions at an incident energy of [Formula: see text] GeV/nucleon. Event-by-event fluctuations in the charged particle multiplicities and their pseudo-rapidity values are also investigated in terms of some known statistical measures. Evidences of short-ranged particle correlation and cluster formation in the pseudo-rapidity space are found from our analysis. A microscopic transport model based on the Ultra-relativistic Quantum Molecular Dynamics could not match the experimental results. The differences between experimental observation and corresponding simulation could neither be accounted for even when a Bose–Einstein type of correlation effect is implemented into the simulated data.

Multifractal analysis of charged particle distributions using horizontal visibility graph and sandbox algorithm

2017 ◽  
Vol 32 (08) ◽  
pp. 1750024 ◽  
Author(s):  
P. Mali ◽  
A. Mukhopadhyay ◽  
S. K. Manna ◽  
P. K. Haldar ◽  
G. Singh
Keyword(s):  
Model Simulation ◽  
Relativistic Quantum ◽  
Monte Carlo Model ◽  
High Energy ◽  
Quantum Molecular Dynamics ◽  
Network Systems ◽  
Emission Data ◽  
Horizontal Visibility ◽  
Particle Distributions ◽  
200 Gev

Horizontal visibility graphs (HVGs) and the sandbox (SB) algorithm usually applied for multifractal characterization of complex network systems that are converted from time series measurements, are used to characterize the fluctuations in pseudorapidity densities of singly charged particles produced in high-energy nucleus–nucleus collisions. Besides obtaining the degree distribution associated with event-wise pseudorapidity distributions, the common set of observables, typical of any multifractality measurement, are studied in [Formula: see text]O-Ag/Br and [Formula: see text]S-Ag/Br interactions, each at an incident laboratory energy of 200 GeV/nucleon. For a better understanding, we systematically compare the experiment with a Monte Carlo model simulation based on the Ultra-relativistic Quantum Molecular Dynamics (UrQMD). Our results suggest that the HVG-SB technique is an efficient tool that can characterize multifractality in multiparticle emission data, and in some cases, it is even superior to other methods more commonly used in this regard.

scholarly journals Multifractal Analysis of Charged Particle Multiplicity Distribution in the Framework of Renyi Entropy

2018 ◽  
Vol 2018 ◽  
pp. 1-15 ◽  
Author(s):  
Swarnapratim Bhattacharyya ◽  
Maria Haiduc ◽  
Alina Tania Neagu ◽  
Elena Firu
Keyword(s):  
Specific Heat ◽  
Landau Theory ◽  
Relativistic Quantum ◽  
High Energy ◽  
Multiparticle Production ◽  
Renyi Entropy ◽  
Rényi Entropy ◽  
Particle Multiplicity ◽  
Charged Particle Multiplicity ◽  
Quantum Molecular Dynamics

A study of multifractality and multifractal specific heat has been carried out for the produced shower particles in nuclear emulsion detector for 16O-AgBr, 28Si-AgBr, and 32S-AgBr interactions at 4.5AGeV/c in the framework of Renyi entropy. Experimental results have been compared with the prediction of Ultra-Relativistic Quantum Molecular Dynamics (UrQMD) model. Our analysis reveals the presence of multifractality in the multiparticle production process in high energy nucleus-nucleus interactions. Degree of multifractality is found to be higher for the experimental data and it increases with the increase of projectile mass. The investigation of quark-hadron phase transition in the multiparticle production in 16O-AgBr, 28Si-AgBr, and 32S-AgBr interactions at 4.5 AGeV/c in the framework of Ginzburg-Landau theory from the concept of multifractality has also been presented. Evidence of constant multifractal specific heat has been obtained for both experimental and UrQMD simulated data.

The multiple scattering model analysis of high energy multiparticle production on emulsion nuclei

1979 ◽  
Vol 291 (2) ◽  
pp. 189-197 ◽  
Author(s):  
S. A. Azimov ◽  
L. P. Chernova ◽  
G. M. Chernov ◽  
K. G. Gulamov ◽  
V. Sh. Navotny ◽  
...  
Keyword(s):  
Multiple Scattering ◽  
High Energy ◽  
Model Analysis ◽  
Multiparticle Production ◽  
Scattering Model

scholarly journals Absence of high-energy spectral concentration for Dirac systems with divergent potentials

2005 ◽  
Vol 135 (4) ◽  
pp. 689-702 ◽  
Author(s):  
M. S. P. Eastham ◽  
K. M. Schmidt
Keyword(s):  
Spectral Density ◽  
High Energy ◽  
Regularity Conditions ◽  
Absolutely Continuous Spectrum ◽  
Absolutely Continuous ◽  
One Dimensional ◽  
Local Maxima ◽  
Dirac Systems ◽  
Additional Regularity ◽  
Spectral Concentration

It is known that one-dimensional Dirac systems with potentials q which tend to −∞ (or ∞) at infinity, such that 1/q is of bounded variation, have a purely absolutely continuous spectrum covering the whole real line. We show that, for the system on a half-line, there are no local maxima of the spectral density (points of spectral concentration) above some value of the spectral parameter if q satisfies certain additional regularity conditions. These conditions admit thrice-differentiable potentials of power or exponential growth. The eventual sign of the derivative of the spectral density depends on the boundary condition imposed at the regular end-point.

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