Analyses of Multiplicity Distributions by Means of the Modified Negative Binomial Distribution and Its KNO Scaling Function : Particles and Fields
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概要
- 論文の詳細を見る
We analyze various data of multiplicity distributions by means of the modified negative binomial distribution (MNBD) and its KNO scaling function, since the 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 distribution) describes the data of charged particles in e^+e^- annihilations much better than the negative binomial distribution (NBD).To investigate stochastic properties of the MNBD, we derive the KNO scaling function from the discrete distribution by using a straightforward method and the Poisson transform. This 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 stated that the MNBD is a useful formula, as is the NBD.
- 理論物理学刊行会の論文
- 1997-12-25
著者
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SUZUKI Naomichi
Matsumoto University
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Biyajima Minoru
Department Of Physics Shinshu University
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Biyajima Minoru
Department Of Physics Faculty Of Liberal Arts Shinshu Univeristy
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Osada Takeshi
Department Of Physics Tohoku University
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NAKAJIMA Noriaki
Research Center for Nuclear Physiks (RCNP),Osaka University
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Nakajima Noriaki
Department of Physics, Shinshu University
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Nakajima Noriaki
Department Of Physics Shinshu University
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Biyajima Minoru
Departmemt Of Physics Faculty Of Liberal Arts Shinshu University
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Biyajima Minoru
Department of Physics,Shinshu University
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