Mass spectrum, magnetic moments and Regge trajectories of $$\Omega _{ccb}$$ and $$\Omega _{cbb}$$ baryons in the nonrelativistic quark–diquark model

Abstract

In this work, we investigate the mass spectra, magnetic moments, and Regge trajectories of the triply heavy baryons

and

$$\Omega _{cbb}$$ Ω cbb

within a nonrelativistic constituent quark model based on the quark–diquark approximation, which reduces the three-body problem to an effective two-body system. For each baryon, all three possible diquark clusterings are considered, providing a qualitative indication of the sensitivity of the results to the quark–diquark decomposition. The model parameters are fixed by a fit to the measured

$$B_c$$ B c

meson spectrum, thereby anchoring the baryon predictions to experimentally constrained inputs and establishing a consistent link between the heavy meson and baryon sectors. We obtain ground-state masses of approximately 8.0 GeV for

$$\Omega _{ccb}$$ Ω ccb

and 11.0 GeV for

$$\Omega _{cbb}$$ Ω cbb

, with radial and orbital excitation patterns in good agreement with the results reported in the literature. The computed magnetic moments of the spin-

$$\tfrac{1}{2}$$ 1 2

and spin-

$$\tfrac{3}{2}$$ 3 2

states are consistent with the results of various approaches. A radial Regge analysis in the

$$(n_r, M^2)$$ ( n r , M 2 )

plane reveals approximately linear P -wave trajectories and mildly curved S -wave trajectories, with slope and intercept parameters that scale systematically with the heavy-quark content of the baryon. These results suggest that the nonrelativistic quark–diquark framework provides a reliable description of triply heavy baryons and serves as a useful reference for future experimental searches, particularly at LHCb.