Strong decays of the Y(4660) as a vector tetraquark state in solid quark-hadron duality

Zhi-Gang Wang

doi:10.1140/epjc/s10052-019-6708-5

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2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2019) 79: 184
https://doi.org/10.1140/epjc/s10052-019-6708-5

Regular Article - Theoretical Physics

Strong decays of the Y(4660) as a vector tetraquark state in solid quark-hadron duality

Zhi-Gang Wang^*

Department of Physics, North China Electric Power University, Baoding, 071003, People’s Republic of China

^* e-mail: zgwang@aliyun.com

Received: 14 January 2019
Accepted: 19 February 2019
Published online: 1 March 2019

Abstract

In this article, we choose the $[sc]_P[\bar{s}\bar{c}]_A-[sc]_A[\bar{s}\bar{c}]_P$ type tetraquark current to study the hadronic coupling constants in the strong decays $Y(4660)\rightarrow J/\psi f_0(980)$ , $\eta _c \phi (1020)$ , $\chi _{c0}\phi (1020)$ , $D_s \bar{D}_s$ , $D_s^* \bar{D}^*_s$ , $D_s \bar{D}^*_s$ , $D_s^* \bar{D}_s$ , $\psi ^\prime \pi ^+\pi ^-$ , $J/\psi \phi (1020)$ with the QCD sum rules based on solid quark-hadron quality. The predicted width $\Gamma (Y(4660) )= 74.2^{+29.2}_{-19.2}\,\mathrm{{MeV}}$ is in excellent agreement with the experimental data $68\pm 11\pm 1 { \text{ MeV }}$ from the Belle collaboration, which supports assigning the Y(4660) to be the $[sc]_P[\bar{s}\bar{c}]_A-[sc]_A[\bar{s}\bar{c}]_P$ type tetraquark state with $J^{PC}=1^{--}$ . In calculations, we observe that the hadronic coupling constants $|G_{Y\psi ^\prime f_0}|\gg |G_{Y J/\psi f_0}|$ , which is consistent with the observation of the Y(4660) in the $\psi ^\prime \pi ^+\pi ^-$ mass spectrum, and favors the $\psi ^{\prime }f_0(980)$ molecule assignment. It is important to search for the process $Y(4660)\rightarrow J/\psi \phi (1020)$ to diagnose the nature of the Y(4660), as the decay is greatly suppressed.