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The evolution of charged-particle production in collisions of heavy ions at relativistic energies is investigated as function of centrality in a nonequilibrium-statistical framework. Precise agreement with recent d + Au and Au + Au data at √ s N N = 200 GeV is found in a Relativistic Diffusion Model with three sources for particle production. Only the… (More)

Newly reported normalized cumulant moments of charged particles in e + e − collisions by the SLD collaboration are analyzed by the truncated modified negative binomial distribution (MNBD) and the negative binomial distribution (NBD). Calculated result by the MNBD describes the oscillatory behavior of the data much better than that by the NBD. Normalized… (More)

- I. M. Dremin, N. Suzuki
- 1997

Theoretical prediction of oscillations of cumulant moments of parton multiplicity distributions inside a jet supported by experimental data in some multiple production processes asks for analysis of the phenomenon for the whole set of available reactions. We have found out that the oscillations persist in any kind of processes and increase for particles… (More)

Brownian motion in the three dimensional Lobachevsky space or hyperbolic space is considered in the paper written by F. A solution for radial symmetric diffusion equation in the three dimensional hyper-bolic space is given in that paper. However, derivation of it is not explicitly shown. Therefore, the diffusion equation is solved analytically with an… (More)

In order to describe large transverse momentum (p T) distributions observed in high energy nucleus-nucleus collisions, a stochastic model in the three dimensional rapidity space is introduced. The fundamental solution of the radial symmetric diffusion equation is Gaussian-like in radial rapidity. We can also derive a p T or radial rapidity distribution… (More)

- Naomichi Suzuki, Masatoshi Tanaka, Kazuhiro Kasai, Kijung Sung
- IJMTM
- 2011

We investigate the KNO scaling function of the modified negative binomial distribution (MNBD), because this MNBD can explain the oscillating behaviors of the cumulant moment observed in e + e − annihilations and in hadronic collisions. By using a straightforward method and the Poisson transform we derive the KNO scaling function from the MNBD. The KNO form… (More)

The role of Bose-Einstein correlations in a widely discussed inter-mittency phenomenon is reviewed. In particular, it is shown that particle correlations of different origin are better displayed when analysed as functions of appropriately chosen variables. Correspondingly, if the shape of Bose-Einstein contribution is chosen to be Gaussian in 3-momentum… (More)

In order to include a correction by the Coulomb interaction in Bose-Einstein correlations (BEC), the wave function for the Coulomb scattering were introduced in the quantum optical approach to BEC in the previous work. If we formulate the amplitude written by Coulomb wave functions according to the diagram for BEC in the plane wave formulation, the formula… (More)