Investigations have shown that the collective motion not only appears in nucleus-nucleus but also in p-p collisions. The best tool for depicting such collective motion is relativistic hydrodynamics. In this paper, the collective motion is assumed obeying the hydro model which integrates the features of Landau and Hwa-Bjorken theory and is one of a very few analytically solvable models. The fluid is then supposed freezing out into charged particles from a time-like hypersurface with a fixed time of FO t . The researches of present paper show that this part of charged particles together with leading particles, which, by conventional definition, carry on the quantum numbers of colliding nucleons and take away the most part of incident energy, can give a proper universal description to the pseudorapidity distributions of charged particles measured in both nucleus-nucleus and p-p collisions at now available energy regions. PACS number(s): 25.75.Ag, 25.75.Ld, 24.10.Nz
Ⅰ. IntroductionIn recent years, especially with the operations of BNL-RHIC and after CERN-LHC, the natures of matter created in nucleus or particle collisions have been undergoing a wide experimental and theoretical research. One of the most important achievements arrived at from this research is that the quark-gluon plasma formed in collisions is in a strongly coupled state as fluid, instead of being in a conventionally believed state as weakly interacting partonic gas [1][2][3][4][5]. The investigations also have shown that this kind of strongly coupled quark-gluon plasma has not only been created in nucleus but also in particle, such as p-p collisions, and the motion of this partonic fluid is nearly as an ideal one with a very little viscosity .The best approach for describing the spatiotemporal evolution of fluid-like partonic matter is the relativistic hydrodynamics, which was first put forward by L. D. Landau in his pioneering work in 1953 [35]. Owing to the high degree of nonlinearity and interconnection of hydro equations, Monte Carlo simulations is, as usual, widely employed to deal with them especially for 2 or 3-dimensional expansions or situations including viscosity. In