S-D Mixing and Electric Dipole Transition of ψ(3770)

QIN Dan-Hua; DING Yi-Bing; ZHAO Guang-Da

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2024年10月30日

Chinese Physics C> 1991, Vol. 15> Issue(3) : 284-288

S-D Mixing and Electric Dipole Transition of ψ(3770)

Department of Physics,Peking University 1008712 Theoretical Physics Institute,Academia Sinica,Beijing 1000803 Department of Physics,Graduate School,Academia Sinica,Beijing 1000394 CCAST World Laboratory

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Abstract：
In the framework of the potential model for charmonium,the effects of 2³S₁-1³D₁ mixing between ψ(3770) and ψ(3686) are discussed.It is concluded that the possibility for the mixing angle θ=30° should be ruled out.While the results for both ψ(3770)→γχ₀ and ψ(3686)→γχ₀ are improved with θ=－10°,the contradiction between the theoretical value and the experimental value for ψ(3770)→γχ₁ still remains.

References

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秦旦华,丁亦兵,赵光达,高能物理与核物理,14(1990),380.[2] R. H. Schindler, SLAC-PUB-4694 (1988).[3] G. P. Yost et al., Particle Data Group, Phys, lett., 224B(1988), 1.[4] E. Eichten et al., Phys. Rev., D17(1978), 3090; D21(1980), 203.[5] K. Heikkila et al., Phys. Rev., D29(1984), 110.[6] Y. P. Kuang and T. M. Yan, Phys. Rev., D41(1990), 155.[7] Y. B. Ding, J. He, S. C. Cai, D. H. Qin and K. T. Chao, in Proc. of the lnt. Sym. On Particle and Nuclear Phys.Beijing, Sept 2-7, 1985. (World Scientific, Singapore) P. 88.

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[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
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[12]	ZHOU Chun-Mei . Calculation of Multipolarity Mixing Ratio and Internal Conversion Coefficients for γ Transition. Chinese Physics C, 1993, 17(10): 955-958.
[13]	SANG Jian-Ping . s′ Boson and the S-D Truncation in the IBM. Chinese Physics C, 1992, 16(5): 423-430.
[14]	Ding Yibing , Zhou Lei , Zhao Guangda , Qin Danhua . Sum Rules in Quantum Mechanics and the Electric Dipole Transitions of the ψ (3770). Chinese Physics C, 1991, 15(S4): 373-383.
[15]	DING Yi-Bing , ZHOU Lei , QIN Dan-Hua , ZHAO Guang-Da . Dipole Sum Rules in Quantum Mechanics and Electric Depole Transitions of ψ(3770). Chinese Physics C, 1991, 15(12): 1076-1085.
[16]	Qin Danhua , Ding Yibing , Chao Kuangta . On the Electric Dipole Transition of ψ (3770). Chinese Physics C, 1990, 14(S2): 173-177.
[17]	QIN Dan-Hua , DING Yi-Bing , ZHAO Guang-Da . ON THE ELECTRIC DIPOLE TRANSITIONS OF ψ(3770). Chinese Physics C, 1990, 14(4): 380-384.
[18]	LI Xian-Yin , YAO Shi-Huai , ZHANG Qing-Ying . THE DOUBLEDELTA AND THE SURFACE DELTA INTERACTIONS AND SPECTRA OF OXYGEN ISOTOPES IN THE (s-d) SHELL. Chinese Physics C, 1987, 11(3): 397-402.
[19]	ZHAO Guang-Da . 1^－－QQqq STATES, THEIR MIXING WITH QQ STATES, AND HADRONIC TRANSITIONS. Chinese Physics C, 1984, 8(3): 316-322.
[20]	HE JU , ZHANG ZHAO-XI , HE ZUO-XIU . ON THE “DIRECT CHANNEL DIAGRAM” OF THE PRODUCTION OF THE （π⁺π^-）_s S-STATE ATOMS. Chinese Physics C, 1979, 3(3): 297-303.

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QIN Dan-Hua, DING Yi-Bing and ZHAO Guang-Da. S-D Mixing and Electric Dipole Transition of ψ(3770)[J]. Chinese Physics C, 1991, 15(3): 284-288.

QIN Dan-Hua, DING Yi-Bing and ZHAO Guang-Da. S-D Mixing and Electric Dipole Transition of ψ(3770)[J]. Chinese Physics C, 1991, 15(3): 284-288. shu

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Received: 1900-01-01
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

S-D Mixing and Electric Dipole Transition of ψ(3770)

Corresponding author: QIN Dan-Hua,

Department of Physics,Peking University 1008712 Theoretical Physics Institute,Academia Sinica,Beijing 1000803 Department of Physics,Graduate School,Academia Sinica,Beijing 1000394 CCAST World Laboratory

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1991-03-05

Abstract: In the framework of the potential model for charmonium,the effects of 2³S₁-1³D₁ mixing between ψ(3770) and ψ(3686) are discussed.It is concluded that the possibility for the mixing angle θ=30° should be ruled out.While the results for both ψ(3770)→γχ₀ and ψ(3686)→γχ₀ are improved with θ=－10°,the contradiction between the theoretical value and the experimental value for ψ(3770)→γχ₁ still remains.