Two Normalization Schemes of Factorial Moments in High Energy Collisions and the Dependence of Intermittency Indices on Average Transverse Momentum

Wu Yuanfang; Liu Lianshou

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2024年10月30日

Chinese Physics C> 1992, Vol. 16> Issue(S1) : 83-89

Two Normalization Schemes of Factorial Moments in High Energy Collisions and the Dependence of Intermittency Indices on Average Transverse Momentum

Institute of Particle Physics, Central China Normal University, Wuhan, Hubei, China

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Abstract：
Two different types of normalization of factorial moment are analyzed in detail. It is found that in the case of fixed multiplicity and of intermittency degree independent of multiplicity, the intermittency indices obtained from these two kinds of normalization are equal. In the case of unfixed multiplicity and of intermittency degree depending on multiplicity, the intermittency indices obtained from these two different types of normalization are expressed in terms of the dynamical ones. The experimentally observed dependence of intermittency on transverse momentum cuts are also discussed under the assumption that the intermittency degree depends on the average transverse momentum of each event. It confirms the importance of average transverse momentum in determining the intermittency degree.

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Wu Yuanfang and Liu Lianshou. Two Normalization Schemes of Factorial Moments in High Energy Collisions and the Dependence of Intermittency Indices on Average Transverse Momentum[J]. Chinese Physics C, 1992, 16(S1): 83-89.

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Received: 1991-05-21

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Supported by the National Natural Science Foundation of China.

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Two Normalization Schemes of Factorial Moments in High Energy Collisions and the Dependence of Intermittency Indices on Average Transverse Momentum

Wu Yuanfang
Liu Lianshou

Institute of Particle Physics, Central China Normal University, Wuhan, Hubei, China

Received Date: 1991-05-21

Fund Project: Supported by the National Natural Science Foundation of China.

Abstract: Two different types of normalization of factorial moment are analyzed in detail. It is found that in the case of fixed multiplicity and of intermittency degree independent of multiplicity, the intermittency indices obtained from these two kinds of normalization are equal. In the case of unfixed multiplicity and of intermittency degree depending on multiplicity, the intermittency indices obtained from these two different types of normalization are expressed in terms of the dynamical ones. The experimentally observed dependence of intermittency on transverse momentum cuts are also discussed under the assumption that the intermittency degree depends on the average transverse momentum of each event. It confirms the importance of average transverse momentum in determining the intermittency degree.