Three-Pion Interferometry at Small Relative Momentum in Relativistic Heavy-Ion Collisions

  • With the power series expansion of the three-pion correlation function at small relative momentum, the relation between the three-pion correlation and root-mean-square radius of pion source is Obtained analytically. The relations between the space parameters of the pion source from 3π interferometry and 2π interferometry are also obtained when multi-pion correlation in three-pion events is or is not considered,The distortion of the two-pion coherence factor caused by the multi-pion correlation in three-pion events is calculated. And comparison is made between the results of 2π interferometry analyses at small relative momentum and the experimental measurements of the central relativistic heavy-ion collision 1.8A GeV Ar+Pb.
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  • [1] Chen Xiao fan. High Energy Physics and Nuclear Physics (in Chinese), 1998, 22(5):424-428(陈小凡。高能物理与核物理,1998,22(5):424-428)[2]Lu Zhong dao, Osamu Miyamura, Kenji Kumagai et al. High Energy Physics and Nuclear Physics (in Chinese), 1997, 21(5): 458-464(陆中道,官村修,熊谷健二等。高能物理与核物理,1997,21(5):458-464)[3]Liu Yiming, Zhang Weining, Wang Shan et al. High Energy Physics and Nuclear Physics (in Chinese),1990, 14(8): 724-730(刘亦铭,张卫宁,王山等。高能物理与核物理,1990,14(8):724-730)[4]Jiang Y Z, Huo L, Liu Y M et al. Phys. Rev., 1991, C44(5): 1957-1962[5]Huo Lei, Zhang Weining, Wang Shan et al. High Energy Physics and Nuclear Physics (in Chinese), 1994,18(7): 630-636(霍雷,张卫宁,王山等。高能物理与核物理,1994,18(7):630-636)[6]Boa1 D H, Gelbke C K, Jennings B K Rev. Mod. Phys., 1990, 62(3): 553-602[7]Gyulassy M, Kauffmann S K, Wilson L W. Phys. Rev., 1979, 20(6):2267-2292[8]Zajc W A, Bistirlich J A, Bossingham R R et al. Phys. Rev., 1984, 29(6):2173-2187[9] Liu Y M, Beavis D, Chu S Y et al. Phys. Rev., 1986, 34(5): 1667-1672[10] Beavis D, Chu S Y, Fung S Y et al. Phys. Rev., 1983, C28(6):2561-2564[11]Beavis D, Chu S Y, Fung S Y et al. Phys. Rev., 1986, C34(2):757-760.
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Chen Xiaofan. Three-Pion Interferometry at Small Relative Momentum in Relativistic Heavy-Ion Collisions[J]. Chinese Physics C, 1998, 22(10): 903-909.
Chen Xiaofan. Three-Pion Interferometry at Small Relative Momentum in Relativistic Heavy-Ion Collisions[J]. Chinese Physics C, 1998, 22(10): 903-909. shu
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Received: 1900-01-01
Revised: 1900-01-01
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Three-Pion Interferometry at Small Relative Momentum in Relativistic Heavy-Ion Collisions

    Corresponding author: Chen Xiaofan,
  • Department of Physics, Harbin Institute of Technology, Harbin 150006

Abstract: With the power series expansion of the three-pion correlation function at small relative momentum, the relation between the three-pion correlation and root-mean-square radius of pion source is Obtained analytically. The relations between the space parameters of the pion source from 3π interferometry and 2π interferometry are also obtained when multi-pion correlation in three-pion events is or is not considered,The distortion of the two-pion coherence factor caused by the multi-pion correlation in three-pion events is calculated. And comparison is made between the results of 2π interferometry analyses at small relative momentum and the experimental measurements of the central relativistic heavy-ion collision 1.8A GeV Ar+Pb.

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