Eur. Phys. J. C (2024) 84: 947
https://doi.org/10.1140/epjc/s10052-024-13293-5

Regular Article - Theoretical Physics

On the search for the two poles of the $\mathrm{\Xi }(1820)$ in the $\psi (3686)\to {\overline{\mathrm{\Xi }}}^{+}{\overline{K}}^0\mathrm{\Sigma }_{}^{\ast -}({\pi }^{-}\mathrm{\Lambda })$ decay

¹ Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC Institutos de Investigación de Paterna, 46071, Valencia, Spain
² School of Physics, Zhengzhou University, 450001, Zhengzhou, China
³ School of Physics, Southeast University, 210094, Nanjing, China
⁴ School of Physics, Beihang University, 102206, Beijing, China
⁵ Department of Physics, Guangxi Normal University, 541004, Guilin, China
⁶ Guangxi Key Laboratory of Nuclear Physics and Technology, Guangxi Normal University, 541004, Guilin, China

^b Song-Jing@buaa.edu.cn

Received: 22 May 2024
Accepted: 23 August 2024
Published online: 19 September 2024

Abstract

We propose the reaction $\psi (3686)\to {\overline{\mathrm{\Xi }}}^{+}{\overline{K}}^0\mathrm{\Sigma }_{}^{\ast -}$, with the $\mathrm{\Sigma }_{}^{\ast -}$ decaying to ${\pi }^{-}\mathrm{\Lambda }$ in order to show evidence for the existence of two $\mathrm{\Xi }(1820)$ states, one around 1824 MeV and narrow, and another one around 1875 MeV and wide. The phase space for ${\overline{K}}^0\mathrm{\Sigma }_{}^{\ast -}$ production reduces the effect of the lower mass resonance, magnifying the effect of the higher mass resonance that shows clearly over the phase space. The estimated rate of the production is bigger than the one of the $\psi (3686)\to {\overline{\mathrm{\Xi }}}^{+}{K}^{-}\mathrm{\Lambda }$ reaction, where a clear peak for $\mathrm{\Xi }(1820)$ was observed by the BESIII collaboration, what makes the Beijing facility ideal to carry out the reaction proposed.