Y(4626) as a molecular state from interaction

Jun He; Yi Liu; Jun-Tao Zhu; Dian-Yong Chen

doi:10.1140/epjc/s10052-020-7820-2

EPJ

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2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2020) 80: 246
https://doi.org/10.1140/epjc/s10052-020-7820-2

Regular Article - Theoretical Physics

Y(4626) as a molecular state from interaction ${D}^*_s{\bar{D}}_{s1}(2536)-{D}_s{\bar{D}}_{s1}(2536)$

Jun He¹^*, Yi Liu¹, Jun-Tao Zhu¹ and Dian-Yong Chen²

¹ Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, Nanjing, 210097, China
² School of Physics, Southeast University, Nanjing, 210094, China

^* e-mail: junhe@njnu.edu.cn

Received: 22 December 2019
Accepted: 10 March 2020
Published online: 17 March 2020

Abstract

Recently, a new structure Y(4626) was reported by the Belle Collaboration in the process $e^+e^-\rightarrow D_s^+D_{s1}(2536)^-$ . In this work, we propose an assignment of the Y(4626) as a ${D}^*_s{\bar{D}}_{s1}(2536)$ molecular state, which decays into the $D_s^+D_{s1}(2536)^-$ channel through a coupling between ${D}^*_s{\bar{D}}_{s1}(2536)$ and ${D}_s{\bar{D}}_{s1}(2536)$ channels. With the help of the heavy quark symmetry, the potential of the interaction ${D}^*_s{\bar{D}}_{s1}(2536)-{D}_s{\bar{D}}_{s1}(2536)$ is constructed within the one-boson-exchange model, and inserted into the quasipotential Bethe–Salpeter equation. The pole of obtained scattering amplitude is searched for in the complex-energy plane, which corresponds to a molecular state from the interaction ${D}^*_s{\bar{D}}_{s1}(2536)-{D}_s{\bar{D}}_{s1}(2536)$ . The results suggest that a pole is produced near the ${D}^*_s{\bar{D}}_{s1}(2536)$ threshold, which exhibits as a peak in the invariant mass spectrum of the ${D}_s{\bar{D}}_{s1}(2536)$ channel at about 4626 MeV. It obviously favors the Y(4626) as a ${D}^*_s{\bar{D}}_{s1}(2536)$ molecular state. In the same model, other molecular states from the interaction ${D}^*_s{\bar{D}}_{s1}(2536)-{D}_s{\bar{D}}_{s1}(2536)$ are also predicted, which can be checked in future experiments.