[en] Stochastico-physical structures of the Perina-McGill formula are investigated. We find two new analytic solutions with the Planck-Polya type, and a condition defined in the Fock state as initial conditions. Moreover, we investigate physical connections between the probability distributions with discrete and continuous variables in the Fock state and those in the coherent state. It is found that there is another procedure in addition to the randomization for hadronization from the QCD-world to the meson-world, provided that the Perina-McGill formula describes correctly meson production mechanism. The role of coherent component in KNO scaling distributions and pion interferometry is elucidated. (author)

No abstract available

[en] The number distribution of gray prongs in hadron-nucleus collisions is formulated in the framework of leading particle cascade model. The cascade processes of recoil protons and recoil neutrons are taken into account in our formalism on the analogy of the birth and death problem in the stochastic processes. Comparison of our model with the experimental data is also made. (author)

[en] The initial condition of Landau's hydrodynamic model is discussed, and an overview of the simple wave is given. The relativistic hydrodynamics formulations are provided based on the energy-momentum conservation, the baryon number conservation, the first law of thermodynamics and the equation of states. The one-dimensional case is formulated and related families of curves are defined. The simple wave is introduced as the solution from the discussion of the characteristic curves. Then the Landau's hydrodynamic model is derived performing Legendre transformation and using the entropy conservation. The equation of telegraphy is obtained. In the model, the fluid is at rest immediate after the moment of A-A collision then shock waves run backwards starting from the rest point. When shock waves passed through the fluid, the matter flows out and two simple waves propagate. The hydrodynamic model can be applied to the behavior of the matter between the two simple waves. Assuming nuclear stopping does not occur in RHIC energy, the initial condition is simplified. Finally relativistic combustion is discussed considering the continuation condition of the energy-momentum tensor and baryon flow at the interface between QGP and hadron phases. The conditions for the deflagration and the detonation to occur are discussed drawing attention to that the latent heat is dissipated in different ways between the two cases. Though the possibility of detonation has been estimated very little in the past calculations, the author personally considers it worth studying both deflagration and detonation again. (S. Funahashi)

[en] Single particle distributions and two-particle correlations in high energy proton-nucleus collisions are studied by the use of cluster cascade model. It is shown in case of the independent emission of clusters, the average charged multiplicity from a cluster < k> is about 1.4, which is consistent with the analysis of p-p experiments and that charged particles emitted from different clusters make a marked contribution to the two-particle correlation in proton-nucleus collisions contrary to the case in p-p collisions. The mean free path of cluster in a nucleus is required to lengthen with the increase of the energy of incident particle to describe the energy dependence of experimental data. (author)

[en] By the use of the Poisson transformation or the method of difference, we obtain a differential-difference equation from the Fokker-Planck equation for the Glauber-Lachs and Perina-McGill formula. It is found that a resulting equation is a same type equation of the QCD branching processes. From solutions in these equations, we can infer possible mechanisms for hadronization: The randomization in stochastic theory seems to be a plausible procedure. Some data( diffractive KNO scaling distribution and that of a single jet in e⁺e^- annihilations) are analysed in our scheme. (author)

[en] Analytical solution of a one-dimensional hydrodynamical model is derived, where phase transition from the quark-gluon plasma state to the hadronic state is effectively taken into account. The single-particle rapidity distribution of charged π mesons observed in relativistic heavy ion collisions is analyzed by the model. Space-time development of the fluid is also investigated.

[en] The multiplicity distribution is obtained on the assumption that the final boson state in the high-energy multiple production is described by a mixed state corresponding to the presence of a certain chaotic field (like thermal fluctuation) around a coherent state. It is shown that the multiplicity distribution derived from the model fairly well reproduces recent experimental data and gives the KNO scaling in the high-energy limit. (auth.)

[en] The pseudorapidity distributions of the high multiplicity events of the HELIOS-emulsion collaboration and the EMU01 collaboration are analysed. The fractal dimensions are obtained analysing each event by the length method of Higuchi, and by the power spectrum analysis together with the maximum entropy method. It is found that the fractal dimension of the EMU01 event is higher than those of the four HELIOS events. The results are compared with those of the JACEE events. (author)

[en] Pseudo-rapidity distributions of two high multiplicity events Ca-C and Si-AgBr observed by the JACEE are analyzed by a wavelet transform. Wavelet spectra of those events are calculated and compared with the simulation calculations. The wavelet spectrum of the Ca-C event somewhat resembles that simulated with the uniform random numbers. That of Si-AgBr event, however, is not reproduced by simulation calculations with Poisson random numbers, uniform random numbers, or a p-model. (author)