Eur. Phys. J. C (2025) 85: 543
https://doi.org/10.1140/epjc/s10052-025-14261-3

Regular Article - Theoretical Physics

Systematic analysis of the mass spectra of triply heavy baryons

¹ Department of Mathematics and Physics, North China Electric Power University, 071003, Baoding, People’s Republic of China
² Hebei Key Laboratory of Physics and Energy Technology, 071003, Baoding, People’s Republic of China
³ School of Physics and Electronic Science, 550018, Guiyang, People’s Republic of China

^a yuguoliang2011@163.com

Received: 6 January 2025
Accepted: 4 May 2025
Published online: 15 May 2025

Abstract

The mass spectra, root mean square (r.m.s.) radii and radial density distributions of ${\mathrm{\Omega }}_{\mathit{ccb}}$ and ${\mathrm{\Omega }}_{\mathit{bbc}}$ baryons are firstly analyzed in the present work. The calculations are carried out in the frame work of relativized quark model, where the baryon is regarded as a real three-quark system. Our results show that the excited energy of charmed-bottom triply baryons are always associated with heavier quark. This means the lowest state of ${\mathrm{\Omega }}_{\mathit{ccb}}$ baryon is dominated by the $\lambda$-mode, however, the dominant orbital excitation for ${\mathrm{\Omega }}_{\mathit{bbc}}$ baryon is $\rho$-mode. In addition, the influence of configuration mixing on mass spectrum, which is induced by different angular momentum assignments, is also analyzed. It shows that energy of the lowest state will be further lowered by this mixing effect. According to this conclusion, we systematically analyze the mass spectra of the ground and excited states($1S\sim 4S$, $1P\sim 4P$, $1D\sim 4D$, $1F\sim 4F$ and $1G\sim 4G$) of ${\mathrm{\Omega }}_{\mathit{ccb}}$, ${\mathrm{\Omega }}_{\mathit{bbc}}$, ${\mathrm{\Omega }}_{\mathit{ccc}}$ and ${\mathrm{\Omega }}_{\mathit{bbb}}$ baryons. Finally, with the predicated mass spectra, the Regge trajectories of these heavy baryons in the (J, $M^2$) plane are constructed.