Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-05-08
Prog.Theor.Phys. 98 (1997) 1289
Physics
High Energy Physics
High Energy Physics - Phenomenology
12 pages, latex, 3 figures
Scientific paper
10.1143/PTP.98.1289
We analyze various data of multiplicity distributions by means of the Modified Negative Binomial Distribution (MNBD) and its KNO scaling function, since this MNBD explains the oscillating behavior of the cumulant moment observed in e^+e^- annihilations, h-h collisions and e-p collisions. In the present analyses, we find that the MNBD(discrete distributions) describes the data of charged particles in e^+e^- annihilations much better than the Negative Binomial Distribution (NBD). To investigate stochastic property of the MNBD, we derive the KNO scaling function from the discrete distribution by using a straightforward method and the Poisson transform. It is a new KNO function expressed by the Laguerre polynomials. In analyses of the data by using the KNO scaling function, we find that the MNBD describes the data better than the gamma function.Thus, it can be said that the MNBD is one of useful formulas as well as NBD.
Biyajima Minoru
Nakajima Noriaki
Osada Takeshi
Suzuki Nao
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