Regge trajectories for the triply heavy bottom-charm baryons in the diquark picture

We present the explicit form of the Regge trajectory relations for the triply heavy bottom-charm baryons, which can be applied to investigate both the λ-mode excited states and the ρ-mode excited states. We estimate the masses of the λ-excited states and the ρ-excited states. The results are in agreement with other theoretical predictions. Both the λ-trajectories and the ρ-trajectories are discussed. Moreover, the behaviors of the λ- and ρ-trajectories for various baryons are discussed. It is shown that both the λ-trajectories and the ρ-trajectories for baryons are concave downwards in the (M²,\,x) plane. The Regge trajectories for the light baryons are approximately linear and become concave as the masses of the light constituents are considered.