$\lambda$ and $\rho$ trajectories for the doubly heavy baryons in the diquark picture

• DOI: 10.48550/arxiv.2502.12487
• Publication Date: 2025-02-17
• Authors: Song He; Jia-Qi Xie; X. Liu; Jiao-Kai Chen
• Keywords: Diquark

We present the explicit form of Regge trajectory relations for doubly heavy baryons $\Xi_{QQ'}$ and $\Omega_{QQ'}$ $(Q,Q'=b,c)$ in diquark picture. Using derived relations, we estimate masses $\lambda$-excited states $\rho$-excited states, which are consistent with other theoretical predictions. Both $\lambda$-trajectories $\rho$-trajectories discussed. show that behave differently from $\lambda$-trajectories. Specifically, as $M{\sim}x_{\rho}^{2/3}$ $(x_{\rho}=n_r,l)$, whereas follow $M{\sim}x_{\lambda}^{1/2}$ $(x_{\lambda}=N_r,L)$. By using obtained baryon provides a straightforward easy method estimating spectra both states.