Eur. Phys. J. C (2025) 85: 1311
https://doi.org/10.1140/epjc/s10052-025-14958-5

Regular Article - Theoretical Physics

Topological diagrams of doubly charmed baryon decays in the $SU{(3)}_F$ limit

¹ Hunan University of Science and Technology, 411201, Xiangtan, China
² Hunan Normal University, 410081, Changsha, China

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Received: 17 July 2025
Accepted: 16 October 2025
Published online: 16 November 2025

Abstract

The doubly charmed baryon was first observed by LHCb via the non-leptonic decay ${\mathrm{\Xi }}_{\mathit{cc}}^{++}\to {\mathrm{\Lambda }}_c^{+}{K}^{-}{\pi }^{+}{\pi }^{+}$ in 2017. Subsequently, ongoing efforts have been made to identify other doubly charmed baryons. However, there is no systematic analysis of the topological decomposition for non-leptonic decays of doubly charmed baryons. In this work, we study the topological amplitudes of doubly charmed baryon decays in the $SU{(3)}_F$ limit. Tree- and penguin-induced topological diagrams for the ${\mathcal{B}}_{\mathit{cc}}\to {\mathcal{B}}_{c}M$ and ${\mathcal{B}}_{\mathit{cc}}\to \mathcal{B}D$ decays are presented. The linear relations between the topological amplitudes and the SU(3) irreducible amplitudes are derived through tensor contraction and SU(3) decomposition. The magnitude pattern of the topological diagrams is analyzed in the rescattering dynamics and the large $N_c$ expansion. In addition, some amplitude relations are derived to test the Körner–Pati–Woo theorem in the isospin limit.