In the local-density and semiclassical approximation, a relativistic Vlasov equation is constructed from the Walecka model. Applying it to heavy-ion collisions at intermediate energies, we obtain results that are similar to those from the more complicated time-dependent Dirac equation. Compared with the results from the nonrelativistic Skyrme interaction, the relativistic eftect is evident in the enhanced transverse-momentum distribution during the collision.
We study a string fragmentation model in which the probability distribution for the locations of the vertices is parametrized explicitly in terms of their space-time coordinates measured from the point of the onset of separation of the quark and the antiquark. An iterative procedure is presented to fragment a finite-mass string into hadrons. We apply the model to calculate the rapidity distribution of the produced hadrons, which is found to give a good fit to the experimental data for e ' -e annihilation at 29GeV. From the parameters characterizing the probability distribution of the vertices, we determine the average hadron formation time in the fragmentation of the string.
The energy spectral problem of the ultrarelativistic quantum systems is investigated. A typical ultrarelativistic system (the Lund model) is solved exactly and a new virial theorem is proved, these are to show the influence of the form of kinetic energy to the energy spectra.
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