Eur. Phys. J. C (2024) 84: 1311
https://doi.org/10.1140/epjc/s10052-024-13710-9

Regular Article - Theoretical Physics

Testing the molecular nature of the $\mathrm{\Omega }(2012)$ with the $\psi (3770)\to \overline{\mathrm{\Omega }}\overline{K}\mathrm{\Xi }$ and $\psi (3770)\to \overline{\mathrm{\Omega }}\overline{K}{\mathrm{\Xi }}^{\ast }(1530)(\overline{\mathrm{\Omega }}\overline{K}\pi \mathrm{\Xi })$ reactions

¹ School of Physics, Beihang University, 102206, Beijing, China
² Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC Institutos de Investigación de Paterna, Apartado 22085, 46071, Valencia, Spain
³ Department of Physics, Guangxi Normal University, 541004, Guilin, China
⁴ Guangxi Key Laboratory of Nuclear Physics and Technology, Guangxi Normal University, 541004, Guilin, China
⁵ School of Physics, Central South University, 410083, Changsha, China
⁶ CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, 100190, Beijing, China
⁷ Departamento de Física, Universidade Federal do Piauí, 64049-550, Teresina, Piauí, Brazil

^a liangwh@gxnu.edu.cn

Received: 10 November 2024
Accepted: 9 December 2024
Published online: 23 December 2024

Abstract

We report on the reactions $\psi (3770)\to {\overline{\mathrm{\Omega }}}^{+}\overline{K}\mathrm{\Xi }$ and $\psi (3770)\to {\overline{\mathrm{\Omega }}}^{+}\overline{K}{\mathrm{\Xi }}^{\ast }(1530)({\mathrm{\Xi }}^{\ast }(1530)\to \pi \mathrm{\Xi }$), and calculate the mass distributions $\frac{\text{d}\mathrm{\Gamma }}{\text{d}{M}_{\text{inv}}(\overline{K}\mathrm{\Xi })}$ and $\frac{\text{d}\mathrm{\Gamma }}{\text{d}{M}_{\text{inv}}(\overline{K}{\mathrm{\Xi }}^{\ast })}$, respectively. We obtain clear peaks corresponding to the $\mathrm{\Omega }(2012)$. From the decay of $\psi (3770)\to {\overline{\mathrm{\Omega }}}^{+}\overline{K}{\mathrm{\Xi }}^{\ast }$, we also get a second, broader, peak around $2035\mathrm{M}eV$, which comes from the $\mathrm{\Omega }(2012)$ decay to $\overline{K}{\mathrm{\Xi }}^{\ast }$. This second peak is closely tied to the molecular picture of the $\mathrm{\Omega }(2012)$ with the $\overline{K}{\mathrm{\Xi }}^{\ast }(1530)$ and $\eta \mathrm{\Omega }$ components. Its observation would provide a boost to the molecular picture of the $\mathrm{\Omega }(2012)$.