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

Abstract
HTML
Reference
Related

PDF

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

[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

[1]	DU Dong-Sheng . CP Asymmetry Prediction for Neutral Charmed Meson Decays into CP by Using Amplitude Ratios. Chinese Physics C, 2007, 31(9): 835-839.
[2]	ZHOU Ming-Zhen , WU Xing-Hua , HUANG Tao . Twist-3 Distribution Amplitudes in the B→π Transition Form Factor. Chinese Physics C, 2004, 28(9): 927-930.
[3]	LI Cheng-Bo , YUAN Jian , LIN Er-Kang , ZHANG Pei-Hua , MENG Qiu-Ying . Monte-Carlo Simulation and Analysis of the Spectrum of p+¹¹B Three-Body Sequential Decay. Chinese Physics C, 2002, 26(12): 1223-1227.
[4]	DONG Yu-Bing . The Calculation for the Helicity Amplitudes of the Nucleon Resonances and the Meson Cloud Effect in Relativistic Quark Model. Chinese Physics C, 2001, 25(1): 31-36.
[5]	GOU Liang , DONG FangXiao , ZHOU XianJian . Analytical Helicity Amplitudes for Z→3γ and It's Related Processes and Discussion of Polarization Vectors. Chinese Physics C, 2000, 24(12): 1098-1105.
[6]	Du Dongsheng . Analysis of B→η′K(K^),ηK(K^) Decay Processes. Chinese Physics C, 1999, 23(2): 199-203.
[7]	Dong Yubing . Study on the Helicity Amplitudes of the Resonances Based on the Relativistic Harmonic Oscillator Model. Chinese Physics C, 1997, 21(11): 1035-1040.
[8]	Wang Shaoshun , Zhang Jie , Ye Yunxiu , Xiao Chenguo . Factorial Moments Continuous Order and Multifractal Analysisin 400GeV/c pp Collisions. Chinese Physics C, 1997, 21(9): 769-776.
[9]	Wen Wanxin , Dai Guangxi , Wu Heyu , He Zhiyong , Luo Qingzheng , Duan Limin , Cai Wei , Jin Genming , Li Zuyu , Zhang Baoguo , Qi Yujin . Tracks of Binary Decay. Chinese Physics C, 1995, 19(7): 598-602.
[10]	Wang Shaoshun , Zhang Jie , Xiao Chenguo , Ye Yunxiu , Zhong Yu , Shen Tianguang . Fractal Analysis of Pseudorapidity Distribution Fluctuation in 400GeV/c pp Collisions. Chinese Physics C, 1995, 19(11): 968-973.
[11]	LI Qing-Run , ZHOU Jin-Li . Parameterized Full Amplitudes for Proton ⁴He Scattering in the Intermediate Energy Range. Chinese Physics C, 1993, 17(10): 918-924.
[12]	YU Hong , SHEN Qi-Xing , ZHU Yu-Can , ZHENG Zhi-Ping , CHENG Zheng-Dong . Moment Analysis of the wide Resonance θ(1720) in J/ψ Radiative Decay. Chinese Physics C, 1992, 16(9): 807-815.
[13]	SHEN Qi-Xing , YU Hong . Angular Distributions and Generalized Moment Analysis for the Doubly Radiative Decay J/ψ→γγV. Chinese Physics C, 1992, 16(8): 704-715.
[14]	YU Hong , SHEN Qi-Xing . THE MOMENT ANALYSIS FOR THE J/ψ HADRONIC DECAY PROCESS. Chinese Physics C, 1990, 14(10): 875-881.
[15]	DONG Bao-Zhong . ANALYSIS OF HADRONIC EVENTS. Chinese Physics C, 1987, 11(5): 596-602.
[16]	HU Lian , GUO Shuo-Hong . A VARIATIONAL RESEARCH FOR HADRON SPECTRUM. Chinese Physics C, 1986, 10(3): 288-296.
[17]	LI Yang-Guo . COMPLEX AMPLITUDE OF GEOMETRICAL MODEL AND pp SCATTERING. Chinese Physics C, 1985, 9(1): 125-128.
[18]	ZHENG Yu-Ming . UNIFIED ANALYSIS OF EXCITED NUCLEONIC AND Δ'S SPECTRUM. Chinese Physics C, 1984, 8(5): 619-627.
[19]	PAN JI-ZHI , WANG WEI-WEI , ZHAO WEI-QIN , BAO CHENG-GUANG . SCATTERING AMPLITUDE WITH LARGE MOMENTUM TRANSFER CALCULATED FROM THE BAKAMJIAN-THOMAS EQUATION AND THE REPULSIVE CORE OF NUCLEAR FORCE. Chinese Physics C, 1981, 5(4): 465-471.
[20]	ZENG JIN-YAN , LIN CHUN-ZHENG , YANG FU-JIA . A CHECK ON INDIVIDUAL TERMS OF THE NUCLEAR MASS FORMULA. Chinese Physics C, 1981, 5(2): 232-243.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1999-04-01
Revised: 1900-01-01

Article Metric

Article Views(1200)
PDF Downloads(624)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.