Eur. Phys. J. C (2025) 85: 712
https://doi.org/10.1140/epjc/s10052-025-14436-y

Regular Article - Theoretical Physics

QCD sum rules study on weak decays ${\mathrm{\Omega }}_c^0\to {\mathrm{\Omega }}^{-}({\pi }^{+},{\rho }^{+},l^{+}{\nu }_l)$

¹ School of Physics, East China University of Science and Technology, 200237, Shanghai, China
² College of Physics and Electronic Engineering, Hainan Normal University, 571158, Haikou, Hainan, China
³ INPAC, Key Laboratory for Particle Astrophysics and Cosmology (MOE), Shanghai Key Laboratory for Particle Physics and Cosmology, School of Physics and Astronomy, Shanghai Jiao Tong University, 200240, Shanghai, China

^a shiyuji@ecust.edu.cn
^b zengj@alu.cqu.edu.cn

Received: 27 March 2025
Accepted: 15 June 2025
Published online: 29 June 2025

Abstract

We study the weak decays of the charmed baryon ${\mathrm{\Omega }}_c^0$ to the ${\mathrm{\Omega }}^{-}$ baryon within the framework of QCD sum rules. A three-point correlation function is defined for calculating eight form factors governing the ${\mathrm{\Omega }}_c^0\to {\mathrm{\Omega }}^{-}$ transition. The cutting rules are employed to extract the double imaginary parts of the correlation functions, enabling their expression in the form of dispersive integrals. These form factors are then used to determine the branching fractions for the hadronic decays ${\mathrm{\Omega }}_c^0\to {\mathrm{\Omega }}^{-}{\pi }^{+}$ and ${\mathrm{\Omega }}_c^0\to {\mathrm{\Omega }}^{-}{\rho }^{+}$, as well as the semi-leptonic decay ${\mathrm{\Omega }}_c^0\to {\mathrm{\Omega }}^{-}{\ell }^{+}{\nu }_{\ell }$. Our results are compared with existing theoretical predictions and experimental data, providing a comprehensive analysis of ${\mathrm{\Omega }}_c^0$ decays and offering valuable insights into the dynamics of charmed baryon decays.