On the Electric Dipole Transition of ψ (3770)

Qin Danhua; Ding Yibing; Chao Kuangta

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2024年10月30日

Chinese Physics C> 1990, Vol. 14> Issue(S2) : 173-177

On the Electric Dipole Transition of ψ (3770)

Physics Department, Beijing University, Department of Physics, Graduate School, Chinese Academy of Sciences, Center of Theoretical Physics, CCA ST(World Laboratory) and Physics Department, Beijing University

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Abstract：
Various E1 transition rates for cc states are calculated in a QCD-motivated potential model. Relativistic corrections are found to be substantial. A good agreement between theory and experiment is achieved for the rates of ψ(2S)→YX_eJ and X_eJ→γψ(1S) (J=0,1,2), but the calculated rates for ψ(3770)→YX_eJ are smaller by a factor of 2 than their experimental values obtained by the Mark III Collaboration. The effect of the 2³S_l-1³D₁ mixing may be important and needs to be considered.

[1]	M. Ablikim , et al . Measurement of the integrated Luminosities of cross-section scan data samples around the ψ(3770) mass region. Chinese Physics C, 2018, 42(6): 063001. doi: 10.1088/1674-1137/42/6/063001
[2]	M. Ablikim , et al . Measurement of e⁺e^-→DD cross sections at the ψ(3770) resonance. Chinese Physics C, 2018, 42(8): 083001. doi: 10.1088/1674-1137/42/8/083001
[3]	Xu-Wei Sun , Jing Chen , Ding-Hui Lu . Stagnancy of the pygmy dipole resonance. Chinese Physics C, 2018, 42(1): 014101. doi: 10.1088/1674-1137/42/1/014101
[4]	Xiao-Jun Sun , Chun-Xing Chen , Ning Wang , Hou-Bing Zhou . Systematic description of nuclear electric quadrupole moments. Chinese Physics C, 2018, 42(12): 124105. doi: 10.1088/1674-1137/42/12/124105
[5]	Ligong Bian , Huai-Ke Guo , Jing Shu . Gravitational Waves, baryon asymmetry of the universe and electric dipole moment in the CP-violating NMSSM. Chinese Physics C, 2018, 42(9): 093106. doi: 10.1088/1674-1137/42/9/093106
[6]	FU Jian-Qiang , LI Yu-Lan , ZHANG Lan , NIU Li-Bo , JIANG Hao , LI Yuan-Jing . A novel CZT detector using strengthened electric field line anode. Chinese Physics C, 2014, 38(12): 126003. doi: 10.1088/1674-1137/38/12/126003
[7]	DU Xiao-Nan , HE Yuan , YUAN You-Jin , ZHANG Sheng-Hu , WANG Zhi-Jun , XIAO Chen , XU Meng-Xin , SUN Lie-Peng . Optimization of the three-dimensional electric field in IH-DTL. Chinese Physics C, 2012, 36(5): 452-455. doi: 10.1088/1674-1137/36/5/013
[8]	ZHANG Ning-Tao , ZHANG Yu-Hu , ZHOU Xiao-Hong , LIU Min-Liang , ZHENG Yong , GUO Ying-Xiang , CHEN Liang , WANG Shi-Tao , ZHANG Xin , ZHU Li-Hua , WU Xiao-Guang . Dipole bands in nucleus ¹³⁹Pm. Chinese Physics C, 2010, 34(4): 456-459. doi: 10.1088/1674-1137/34/4/007
[9]	WANG Shi-Tao , ZHOU Xiao-Hong , ZHANG Yu-Hu , ZHENG Yong , LIU Min-Liang , MA Fei , HU Jun , CHEN Liang , ZHANG Xin , ZHANG Ning-Tao , ZHU Li-Hua , WU Xiao-Guang , LI Guang-Sheng . Electric-dipole transitions in ¹⁶⁵Er. Chinese Physics C, 2009, 33(8): 629-632. doi: 10.1088/1674-1137/33/8/006
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[11]	HE Kang-Lin , MO Xiao-Hu , WANG Ping , YUAN Chang-Zheng . Experimental Searches for the Non-DD Decays of ψ(3770) in e⁺e^－ Collider. Chinese Physics C, 2007, 31(2): 125-137.
[12]	BES Collaboration BAI Jing-Zhi , BAN Yong , BIAN Jian-Guo , CAI Xiao , CHANG Jin-Fan , CHEN Hai-Xuan , CHEN He-Sheng , CHEN Hong-Fang , CHEN Jiang-Chuan , CHEN Jin , CHEN Jun , CHEN Ma-Li , CHEN Yuan-Bo , CHI Shao-Peng , CHU Yuan-Ping , CUI Xiang-Zong , DAI Hong-Liang , DAI You-Shan , DENG Zi-Yan , DONG Liao-Yuan , DU Shu-Xian , DU Zhi-Z . First Evidence of ψ(3770) Hadronic Transition to J/ψπ⁺π^—. Chinese Physics C, 2004, 28(4): 325-331.
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[17]	QIN Dan-Hua , DING Yi-Bing , ZHAO Guang-Da . S-D Mixing and Electric Dipole Transition of ψ(3770). Chinese Physics C, 1991, 15(3): 284-288.
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Qin Danhua, Ding Yibing and Chao Kuangta. On the Electric Dipole Transition of ψ (3770)[J]. Chinese Physics C, 1990, 14(S2): 173-177.

Qin Danhua, Ding Yibing and Chao Kuangta. On the Electric Dipole Transition of ψ (3770)[J]. Chinese Physics C, 1990, 14(S2): 173-177. shu

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Received: 1989-11-23

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Supported in part by the National Natural Science Foundation of China.

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沈阳化工大学材料科学与工程学院沈阳 110142

On the Electric Dipole Transition of ψ (3770)

Physics Department, Beijing University, Department of Physics, Graduate School, Chinese Academy of Sciences, Center of Theoretical Physics, CCA ST(World Laboratory) and Physics Department, Beijing University

Received Date: 1989-11-23

Fund Project: Supported in part by the National Natural Science Foundation of China.

Abstract: Various E1 transition rates for cc states are calculated in a QCD-motivated potential model. Relativistic corrections are found to be substantial. A good agreement between theory and experiment is achieved for the rates of ψ(2S)→YX_eJ and X_eJ→γψ(1S) (J=0,1,2), but the calculated rates for ψ(3770)→YX_eJ are smaller by a factor of 2 than their experimental values obtained by the Mark III Collaboration. The effect of the 2³S_l-1³D₁ mixing may be important and needs to be considered.