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

TL;DR

This paper derives Regge trajectory relations for triply heavy bottom-charm baryons, estimating their excited state masses and analyzing the trajectories' behaviors, which are concave downward and vary with baryon mass.

Contribution

It provides explicit Regge trajectory formulas for triply heavy baryons and explores their properties, extending the understanding of baryon excitation spectra.

Findings

Regge trajectories are concave downward in the (M^2, x) plane.

Estimated masses for lambda- and rho-excited states agree with other models.

Trajectories for light baryons are approximately linear and become concave with lighter constituents.

Abstract

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 $\lambda$-mode excited states and the $\rho$-mode excited states. We estimate the masses of the $\lambda$-excited states and the $\rho$-excited states. The results are in agreement with other theoretical predictions. Both the $\lambda$-trajectories and the $\rho$-trajectories are discussed. Moreover, the behaviors of the $\lambda$- and $\rho$-trajectories for various baryons are discussed. It is shown that both the $\lambda$-trajectories and the $\rho$-trajectories for baryons are concave downwards in the $(M^2,\,x)$ plane. The Regge trajectories for the light baryons are approximately linear and become concave as the masses of the light constituents are considered.