Characterizing variable for the critical point in momentum space

DU Jia-Xin; KE Hong-Wei; XU Ming-Mei; LIU Lian-Shou

doi:10.1088/1674-1137/33/8/011

Chinese Physics C> 2009, Vol. 33> Issue(8) : 655-660 DOI: 10.1088/1674-1137/33/8/011

Characterizing variable for the critical point in momentum space

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Abstract：
The possible experimentally observable signal in momentum space for the critical point, which is free from the contamination of statistical fluctuations, is discussed. It is shown that the higher order scaled moment of transverse momentum can serve as an appropriate signal for the critical point, provided the transverse momentum distribution has a sudden change when energy increases passing through this point. A 2-D percolation model with a linear temperature gradient is constructed to check this suggestion. A sudden change of third order scaled moment of transverse momentum is observed.

References

[1]

. Adams J et al. (STAR Collab.). Nucl. Phys. A, 2005, 757:102-183; Adcox K et al. (PHENIX Collab.). Nucl. Phys.A, 2005, 757: 184-2832. Stephanov M. Prog. Theor. Phys. Suppl., 2004, 153: 139-156; Stephanov M. Int. J. Mod. Phys. A, 2005, 20: 4387-43923. Stephanov M, Rajagopal K, Shuryak E. Phys. Rev. Lett.,1998, 81: 4816-48194. Mitchell J (PHOENIX Collab.). Proceeding of Science,2006, CPOD2006: 019; Sorensen P (STAR Collab.). Pro-ceeding of Science, 2006, CPOD2006: 0205. Stephanov M, Rajagopal K, Shuryak E. Phys. Rev. D, 1999,60: 1140286. Voloshin S A, Koch V, Ritter H G. Phys. Rev. C, 1999, 60:0249017. Adcox K et al. (PHENIX Collab.). Phys. Rev. C, 2002, 66:024901; CERES Collab.. Nucl. Phys. A, 2003, 727: 97-1198. FU Jing-Hua, LIU Lian-Shou. Phys. Rev. C, 2003, 68:064904; LIU Lian-Shou, FU Jing-Hua. Chin. Phys. Lett.,2004, 21: 1467; XU Ming-Mei, LIU Lian-Shou. Int. J. Mod-ern Phys. A, 2006, 21: 52419. Adams J et al. (STAR Collab.). Phys. Lett. B, 2005, 612:05230210. Christensen K, Moloney N R. Complexity and Criticality.London: Imperical College Press, 2005. 30-38

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DU Jia-Xin, KE Hong-Wei, XU Ming-Mei and LIU Lian-Shou. Characterizing variable for the critical point in momentum space[J]. Chinese Physics C, 2009, 33(8): 655-660. doi: 10.1088/1674-1137/33/8/011

DU Jia-Xin, KE Hong-Wei, XU Ming-Mei and LIU Lian-Shou. Characterizing variable for the critical point in momentum space[J]. Chinese Physics C, 2009, 33(8): 655-660. doi: 10.1088/1674-1137/33/8/011 shu

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Received: 2008-10-09
Revised: 2009-01-29

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Characterizing variable for the critical point in momentum space

Corresponding author: LIU Lian-Shou,

Received Date: 2008-10-09

Accepted Date: 2009-01-29

Available Online: 2009-08-05

Abstract:

The possible experimentally observable signal in momentum space for the critical point, which is free from the contamination of statistical fluctuations, is discussed. It is shown that the higher order scaled moment of transverse momentum can serve as an appropriate signal for the critical point, provided the transverse momentum distribution has a sudden change when energy increases passing through this point. A 2-D percolation model with a linear temperature gradient is constructed to check this suggestion. A sudden change of third order scaled moment of transverse momentum is observed.

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Characterizing variable for the critical point in momentum space

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通讯作者: 陈斌, bchen63@163.com

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