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《中国物理C》(英文)编辑部
2024年10月30日

Effect of Instanton on the QCD Sum Rule of 0++ Glueball

  • In this paper, we investigate the instanton effects to the mass of 0++ glueball by QCD sum rule approach. The instantons are assummed to be free from each other and be with definite density varying with their sizes. We find the upper bound of mass of the 0 ++ glueball is 1.3GeV and very possibly the mass can be as low as 1GeV. Besides, the instanton effects greatly improve the stability of the sum rule and overtake the contribution of quarks and gluons condensate. The centre size of instantons at 1/3fm can give the stablest sum rule.
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  • [1] .Shifman M A,Vainsht ein A I,Zakharov V I.Nucl.Phys.,1979,B147: 385-4482.Bagan E,Steele T G.Phys.Lett.,1990,B243: 4133.Hilmar Forkel.hep-ph/00050044.Sch..f er T,Shuryak E V.hep..ph/96104515.St eele T G,Harnett D.hep..ph/01082326.HUANG T,JIN H Y,ZHANG A.Phys.Rev.,1999,D59: 0340267.HU Lian,HUI Ping,CHEN Qi-Zhou.HEP NP,2002,26: 773(in Chinese)(胡连,惠萍,陈启洲.高能物理与核物理,2002,26:773)8.SHEN Qi..Xing.HEP NP,1991,15: 358(in Chinese)(沈齐兴.高能物理与核物理,1991,15:358)9.Harnett D,Steele T G.hepph/001104410.Harnett D,Steele T G,Elias V.Nucl.Phys.,2001,A686: 393
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ZHANG Zhu-Feng and JIN Hong-Ying. Effect of Instanton on the QCD Sum Rule of 0++ Glueball[J]. Chinese Physics C, 2004, 28(3): 245-249.
ZHANG Zhu-Feng and JIN Hong-Ying. Effect of Instanton on the QCD Sum Rule of 0++ Glueball[J]. Chinese Physics C, 2004, 28(3): 245-249. shu
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Received: 2003-06-27
Revised: 1900-01-01
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Effect of Instanton on the QCD Sum Rule of 0++ Glueball

    Corresponding author: ZHANG Zhu-Feng,
  • Zhejiang Institute of Modern Physics,Zhejiang University,Hangzhou 310027,China

Abstract: In this paper, we investigate the instanton effects to the mass of 0++ glueball by QCD sum rule approach. The instantons are assummed to be free from each other and be with definite density varying with their sizes. We find the upper bound of mass of the 0 ++ glueball is 1.3GeV and very possibly the mass can be as low as 1GeV. Besides, the instanton effects greatly improve the stability of the sum rule and overtake the contribution of quarks and gluons condensate. The centre size of instantons at 1/3fm can give the stablest sum rule.

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