Partial Wave Analysis of the Decay ψ′→J/ψ π<SUP>+</SUP>π<SUP>－</SUP>

ZHUANG TingLiang; GUO ZiJin; WEI Yi; LI Jin; YAN MuLin

Chinese Physics C> 2000, Vol. 24> Issue(7) : 616-623

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

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

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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⁺π^－process and part of the D-wave is caused by recoil of J/ψ.

References

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. 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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沈阳化工大学材料科学与工程学院沈阳 110142

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

Received Date: 1999-04-01
Accepted Date: 1900-01-01
Available Online: 2000-07-05

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⁺π^－process and part of the D-wave is caused by recoil of J/ψ.