Abstract
The collision smearing of the nucleon momenta about their initial values during relativistic nucleus-nucleus collisions is investigated. To a certain degree, our model belongs to the transport type, and we investigate the evolution of the nucleon system created at a nucleus-nucleus collision. However, we parameterize this development by the number of collisions of every particle during evolution rather than by the time variable. It is assumed that the group of nucleons which leave the system after the same number of collisions can be joined in a particular statistical ensemble. The nucleon nonequilibrium distribution functions, which depend on a certain number of collisions of a nucleon before freeze-out, are derived.
Highlights
The problem of isotropization and thermalization in the course of collisions between heavy relativistic ions attracts much attention, because the application of thermodynamic models is one of the basic phenomenological approaches to the description of experimental data
In the present paper we propose a transparent analytical model of the nucleon spectrum which occurs in the course of relativistic heavy-ion collisions
The description of a many-particle system, which is in thermal equilibrium state, can be regarded as quite understandable and complete by means of the temperature and chemical potential if the latter is needed
Summary
The problem of isotropization and thermalization in the course of collisions between heavy relativistic ions attracts much attention, because the application of thermodynamic models is one of the basic phenomenological approaches to the description of experimental data. The statistical model neglects all the dynamics accumulated in the transition probability W in favor of the features of the phase space The statistical description, which arises after freeze-out, is conceptually restricted just to several conserved quantities: total energy of the system EN , number of particles N , and conserved charges such as the baryon number. This dependence can be transferred to the descriptions by means of conjugate quantities: parameter β and chemical potentials which are in correspondence with N and the conserved charges. Our approach is based on “The multiscattering-statistical model” elaborated by us
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