Abstract
We investigate the centrality-dependent validity of the limiting-fragmentation hypothesis in relativistic heavy-ion collisions at energies reached at the Relativistic Heavy Ion Collider (RHIC) and the Large Hadron Collider (LHC). A phenomenological analysis of Au–Au and Pb–Pb collisions within a three-source relativistic diffusion model (RDM) is performed at sqrt{s_{NN}}=19.6, 62.4, 130, 200, 2760 and 5023 GeV using four centrality cuts at each energy. Linear and nonlinear expressions for the rapidity drift function are tested and their physical relevance is discussed. Our results are compatible with the limiting-fragmentation conjecture for the investigated centralities in the full energy range. The number of particles in the fragmentation and fireball sources are found to depend on sqrt{s_{NN}} logarithmically and cubic-logarithmically, respectively.
Highlights
The occurence of limiting fragmentation (LF), or extended longitudinal scaling, had been predicted for hadron-hadron and electron-proton collisions by Benecke et al [1]
At the Relativistic Heavy Ion Collider RHIC in Brookhaven, limiting fragmentation√was shown to occur in Au–Au collisions in the energy range sN N = 19.6 GeV to 200 GeV
Limiting fragmentation is clearly fulfilled within the RDM with sinh-drift in all four centrality classes when comparing with the Au–Au data at RHIC energies, and the results are consistent with LF for Pb–Pb data at Large Hadron Collider (LHC) energies 2.76 and 5.02 TeV in all four centrality classes as well
Summary
The occurence of limiting fragmentation (LF), or extended longitudinal scaling, had been predicted for hadron-hadron and electron-proton collisions by Benecke et al [1]. The pseudorapidity distributions of produced charged particles were found to scale with energy according to the LF hypothesis in a given centrality class. It is presently an open question whether limiting fgriaegsmoef n√tastNioNn will persist = 2.76 and at the much higher incident 5.02 TeV that are available enerat the CERN Large Hadron Collider (LHC) in Pb–Pb collisions since experimental results in the fragmentation region are not available due to the lack of a dedicated forward spectrometer. At RHIC energies, a detailed comparison with PHOBOS data [8] is possible in all four centrality bins, whereas at LHC energies our analysis remains a model-dependent prediction. In spite of disagreements with the LHC data in the midrapidity region, it had been concluded [13] that
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