The two Normalization schemes of Factorial Moments in High Energy Collisions and the Dependence Intermittency Degree on Average Transverse Momentum

  • The two different normalization schemes of factorial moments are alalyzed carefully.It is found that in both the cases of fixed multiplicity and of intermittency independent of multiplicity,the intermittency indexes obtained from these two normalization schemes are equal to each other.In the case of non-fixed multiplicity and intermittency depending on multiplicity,the formulae expressing the intermittency indexes from the two different normalization schemes in terms of the dynamical index are given.The experimentally observed dependency of intermittency degree on transverse momentum cut is fully recovered by means of the assumption that intermittency degree depends on average transverse momentum per event.It confirms importance of the dependency of intermittency on average momentum.
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  • [1] T. H. Burnett et al. (JACEE), Phys. Rev.Lett., 50(1983), 2062.[2] M.Adamus et al. (NA22), Phys. Lett., B185(1987), 200.[3] R.Holynski et al. (KLM), Phys. Rev. Lett., 62(1989), 733.[4] A. Bialas and R. Peschanski, Nucl. Phys., B273(1986), 703; B308(1988), 857[5] 例如见“lntermittency in High Energy Collisions", Proc. Santa Fe Workshop, eds;F. Copper, R. C.Hwa and 1. Sarcevic (World Scientific) (1990), and the papers cited therein.[6] B. Bushbeck and P. Lipa, A study of intermittency in Qp collision ate/630 GeV, Priprint UA1/TN89-06.[7] 吴元芳,刘连寿,高能物理与核物理,15(1991),822,[8] EHS/NA22 Collaboration, Phys. Lett., B209(1988), 103.[9] EHS/NA22 Collaborations, University of Nijmegen preprint HEN-338/1991.[10] 吴元芳、张昆实、刘连寿,科学通报,36(1991),21,[11] L. Van Hove, CERN preprint CERN-TH 5883/90; Ann. Phys., 192(1989), 66;W. Kittel, University of Nijmegen prepiint HEN-339/91.
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WU Yuan-Fang and LIU Lian-Shou. The two Normalization schemes of Factorial Moments in High Energy Collisions and the Dependence Intermittency Degree on Average Transverse Momentum[J]. Chinese Physics C, 1992, 16(3): 235-240.
WU Yuan-Fang and LIU Lian-Shou. The two Normalization schemes of Factorial Moments in High Energy Collisions and the Dependence Intermittency Degree on Average Transverse Momentum[J]. Chinese Physics C, 1992, 16(3): 235-240. shu
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Received: 1900-01-01
Revised: 1900-01-01
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The two Normalization schemes of Factorial Moments in High Energy Collisions and the Dependence Intermittency Degree on Average Transverse Momentum

    Corresponding author: WU Yuan-Fang,
  • Institute of Particle Physics,Hua-Zhong Normal University,Wuhan 430070

Abstract: The two different normalization schemes of factorial moments are alalyzed carefully.It is found that in both the cases of fixed multiplicity and of intermittency independent of multiplicity,the intermittency indexes obtained from these two normalization schemes are equal to each other.In the case of non-fixed multiplicity and intermittency depending on multiplicity,the formulae expressing the intermittency indexes from the two different normalization schemes in terms of the dynamical index are given.The experimentally observed dependency of intermittency degree on transverse momentum cut is fully recovered by means of the assumption that intermittency degree depends on average transverse momentum per event.It confirms importance of the dependency of intermittency on average momentum.

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