Partial Wave Analysis of the Decay ψ′→J/ψ π+π

  • In this paper,a model-independant amplitude for the decay process of ψ′→J/ψ π+π is constructed from a few basic rules:Lorentz invariance,PCAC (Partial Conservation of Axial Current) and QCD low energy theorem. Based on this amplitude, a new and complete partial wave analysis to this process is carried out. Formulae of angular correlation distribution,invarant mass spectrum and two dimension (joint angular correlation and invarant mass) distribution are given. It is pointed out that there exist D-wave in the ψ′→J/ψ π+πprocess and part of the D-wave is caused by recoil of J/ψ.
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  • [1] . Particle Data Group.Eur .Phys.J.,1998,C3:5942. BES Colla.Phys.Rev .,1998,D :0 92 0 0 6 ;3. Goldberg H .Phys.Rev .Lett.,1975,35:6 0 5;Gottfrid .K .Phys.Rev.Lett.,1978,4 0 :538;Peskin M .Nucl.Phys.1979,B56 :36 5;Bhanot G ,Peskin M .Nucl.Phys.,1979,B156 :3914. Brown L S ,Cahn R N .Phys.Rev .Lett.,1975,35:1 5. YAN T M .Phys.Rev .,1980 ,D2 2 :1 6 526. KUANG Y P ,YAN T M .Phys.Rev .,1981,D2 4 :2 874 7. Voloshin M B .Nucl.Phys.,1979,B154 :36 5;Shifman M A .Vsp .Fiz .Nauk .,1989,157:56 1;Shifman M A .Phys.Rep.,1991,2 2 :341 8. Voloshin M B ,Zakharov V .Phys.Rev .Lett.,1980 ,4 5:6 88;9. Novikov V A ,Shifman M A .Z .Phys.,1981,C8:4 310. Mannel T ,Urech R .Z .Phys.,1997,C73:54 1 11. YAN M L ,WEI Y ,ZHUANG T L .Eur.Phys.J.,1999,C7:6 1 12. CHEN J W ,Savage M J.Phys.Rev .,1998,D57:2 837
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ZHUANG TingLiang, GUO ZiJin, WEI Yi, LI Jin and YAN MuLin. Partial Wave Analysis of the Decay ψ′→J/ψ π+π[J]. Chinese Physics C, 2000, 24(7): 616-623.
ZHUANG TingLiang, GUO ZiJin, WEI Yi, LI Jin and YAN MuLin. Partial Wave Analysis of the Decay ψ′→J/ψ π+π[J]. Chinese Physics C, 2000, 24(7): 616-623. shu
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Received: 1999-04-01
Revised: 1900-01-01
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Partial Wave Analysis of the Decay ψ′→J/ψ π+π

    Corresponding author: ZHUANG TingLiang,
  • Center for Nonlinear Science,University of Science and Technology of China,Hefei 230029,China2 Institute of High Energy Physics, The Chinese Academy of Sciences,Beijing 100039,China

Abstract: In this paper,a model-independant amplitude for the decay process of ψ′→J/ψ π+π is constructed from a few basic rules:Lorentz invariance,PCAC (Partial Conservation of Axial Current) and QCD low energy theorem. Based on this amplitude, a new and complete partial wave analysis to this process is carried out. Formulae of angular correlation distribution,invarant mass spectrum and two dimension (joint angular correlation and invarant mass) distribution are given. It is pointed out that there exist D-wave in the ψ′→J/ψ π+πprocess and part of the D-wave is caused by recoil of J/ψ.

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