$\Delta$-scaling and Information Entropy in Ultra-Relativistic Nucleus-Nucleus Collisions

B. H. Sa; C. Zhong; G. L. Ma; H. Y. Zhang; H. Z. Huang; J. G. Chen; K. Wang; W. Q. Shen; X. F. Zhou; X. Z. Cai

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$\Delta$-scaling and Information Entropy in Ultra-Relativistic Nucleus-Nucleus Collisions

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arxiv nucl-th/0306030 v1 pith:PAYNP632 submitted 2003-06-09 nucl-th hep-phnucl-ex

G. L. Ma , Y. G. Ma , K. Wang , B. H. Sa , W. Q. Shen , H. Z. Huang , X. Z. Cai , H. Y. Zhang

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Z. H. Lu C. Zhong J. G. Chen Y. B. Wei X. F. Zhou

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keywords collisionsdeltaenergymultiplicityscalingentropyinformationnucleus-nucleus

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abstract

The $\Delta$-scaling method has been applied to ultra-relativistic p+p, C+C and Pb+Pb collision data simulated using a high energy Monte Carlo package, LUCIAE 3.0. The $\Delta$-scaling is found to be valid for some physical variables, such as charged particle multiplicity, strange particle multiplicity and number of binary nucleon-nucleon collisions from these simulated nucleus-nucleus collisions over an extended energy ranging from $E_{lab}$ = 20 to 200 A GeV. In addition we derived information entropy from the multiplicity distribution as a function of beam energy for these collisions.

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