System size dependence of the log-periodic oscillations of transverse momentum spectra

Abstract

Recently the inclusive transverse momentum distributions of primary charged particles were measured for different centralities in $Pb+Pb$ collisions. A strong suppression of the nuclear modification factor in central collisions around $p_T\sim 6-7$ GeV/c was seen. As a possible explanation, the hydrodynamic description of the collision process was tentatively proposed. However, such effect, (albeit much weaker) also exists in the ratio of data/fits, both in nuclear $Pb+Pb$ collisions, and in the elementary $p+p$ data in the same range of transverse momenta for which such an explanation is doubtful. As shown recently, in this case, assuming that this effect is genuine, it can be attributed to a specific modification of a quasi-power like formula usually used to describe such $p_T$ data, namely the Tsallis distribution. Following examples from other branches of physics, one simply has to allow for the power index becoming a complex number. This results in specific log-periodic oscillations dressing the usual power-like distribution, which can fit the $p+p$ data. In this presentation we demonstrate that this method can also describe $Pb+Pb$ data for different centralities. We compare it also with a two component statistical model with two Tsallis distributions recently proposed showing that data at still larger $p_T$ will be sufficient to discriminate between these two approaches.

arXiv comment6 pages, 8 figures. Contibution to the XLIV International Symposium on Multiparticle Dynamics proceedings

References in corpus (15)

• Study of high-pT charged particle suppression in PbPb compared to pp collisions at sqrt(sNN)=2.76 TeV
• Centrality dependence of charged particle production at large transverse momentum in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=2.76$ TeV
• The Tsallis Distribution in Proton-Proton Collisions at $\sqrt{s}$ = 0.9 TeV at the LHC
• Transverse momentum spectra of charged particles in proton-proton collisions at $\sqrt{s}=900$ GeV with ALICE at the LHC
• Power laws in elementary and heavy-ion collisions - A story of fluctuations and nonextensivity?
• Precursors, aftershocks, criticality and self-organized criticality
• Systematic analysis of pT -distributions in p + p collisions
• Hadron spectra in p+p collisions at RHIC and LHC energies
• Tsallis statistics approach to the transverse momentum distributions in p-p collisions
• Generalised Tsallis Statistics in Electron-Positron Collisions
• Tsallis distribution with complex nonextensivity parameter q
• $v_2$ of charged hadrons in a`soft + hard' model for PbPb collisions at $\sqrt{s}$ = 2.76 ATeV
• Log-periodic oscillations of transverse momentum distributions
• Statistical Power-Law Spectra due to Reservoir Fluctuations
• The transverse-momenta distributions in high-energy $pp$ collisions -- A statistical-mechanical approach

Cited by in corpus (17)

• From QCD-based hard-scattering to nonextensive statistical mechanical descriptions of transverse momentum spectra in high-energy $pp$ and $p\bar{p}$ collisions
• Can Tsallis distribution fit all the particle spectra produced at RHIC and LHC?
• Tsallis Distribution Decorated With Log-Periodic Oscillation
• Using the Tsallis distribution for hadron spectra in $pp$ collisions: Pions and quarkonia at $\sqrt{s}$ = 5--13000 GeV
• Nonequilibrium kinetic freeze-out properties in relativistic heavy ion collisions from energies employed at the RHIC beam energy scan to those available at the LHC
• Transverse momentum spectra of hadrons in high energy pp and heavy ion collisions
• Mass hierarchy and energy scaling of the Tsallis--Pareto parameters in hadron productions at RHIC and LHC energies
• Approach of complexity in nature: Entropic nonuniqueness
• Description of Charged Particle Pseudorapidity Distributions in Pb+Pb Collisions with Tsallis Thermodynamics
• Pseudorapidity distributions of charged particles in pp($\overline{\mathrm{p}}$), p(d)A and AA collisions using Tsallis thermodynamics
• A new two-component model for hadron production in heavy-ion collisions
• Systematic investigation of the particle spectra in Heavy-ion collisions at the Large Hadron Collider
• Temperature oscillations and sound waves in hadronic matter
• Universal Freezeout Condition for Charged Hadrons in a Hybrid Approach
• Oscillations in multiparticle production processes
• Sound waves in hadronic matter
• Non-Extensive Transverse Momentum Distribution For Identified Particles at $\sqrt{S_{NN}}=$ 7.7, 11.5, 19.6, 27, 39 \hspace{0.05cm} GeV