Predictions on central rapidity densities of charged particles at energies of the Relativistic Heavy Ion Collider and the Large Hadron Collider, for central collisions between the largest nuclei that will be available at these accelerators, are reviewed. Differences among the results of the existing models are discussed in relation with their underlying physical basis and with the possibilities to discriminate them.
US-FT/2-00 UCOFIS 1/00 hep-ph/0002163 * Referring to the last question, in Fig. 1 it is shown the pseudorapidity distribution of charged particles from different models for central Pb-Pb collisions at a beam energy of 3 TeV per nucleon; this plot has been taken from the ALICE 4 Technical Proposal [22] done by the ALICE Event Generator Pool in December 1995. The results according to Monte Carlo codes of several models show large differences at central pseudorapidity. Indeed, between the String Fusion Model (SFM) [23] and the VENUS [24] or SHAKER [25] codes there is a factor larger than 4 at η = 0, while the difference in the fragmentation regions (|η| ≥ 5) is smaller.At RHIC energy 5 the difference is about a factor 2 -most models give results in the range 700 ÷ 1500.These uncertainties in one of the most elementary aspects of the collision, may leave us uncomfortable regarding the necessity to keep under control the conventional physics of heavy ions to clearly distinguish the signatures of QGP and/or collective effects in the proposed observables. Needless to say, from the experimental point of view it is crucial to know whether there will be 2000 or 8000 charged particles per unit rapidity in central Pb-Pb collisions at the LHC for the design of the detectors. For these reasons we review in this paper charged particle central rapidity density predictions of different models for central collisions between the largest nuclei that will be available at RHIC and LHC, discussing the origin of the differences among the results.According to their origin, models can be classified into three categories. On the one hand, some models like Dual Parton Model (DPM) [27,28,29], its Monte Carlo implementation DPMJET [30, 31], Quark-Gluon String Model (QGSM) [32], FRITIOF [33], SFM [23, 34, 35], Relativistic Quantum Molecular Dynamics (RQMD) [36, 37, 38], Ultrarelativistic Quantum Molecular Dynamics (UrQMD) [39, 40], VENUS [24] or its new version NEXUS [41], and LUCIAE [42] mainly pay attention to the soft part of the collision (there is no need of a hard perturbative part at SPS energies). The hard part in some of these models is included adding to the elementary soft cross section the jet one, as an input for the eikonalized cross section.On the contrary, other models like the Heavy-Ion Jet Interaction Generator (HIJING)[43], Eskola et al. [44], and Geiger and Müller [45] are mainly focused to the hard part. They compute the number of minijets or partons with transverse momentum larger than a given p ⊥0 ≥ 1÷2 GeV/c. These hard partons are taken [46] as the starting point of an evolution and expansion previous to h...