$λ$ and $ρ$ trajectories for the doubly heavy baryons in the diquark picture
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| Format: | Preprint |
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2025
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| _version_ | 1866909499585986560 |
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| author | Song, He Xie, Jia-Qi Liu, Xin-Ru Chen, Jiao-Kai |
| author_facet | Song, He Xie, Jia-Qi Liu, Xin-Ru Chen, Jiao-Kai |
| contents | We present the explicit form of the Regge trajectory relations for the doubly heavy baryons $Ξ_{QQ'}$ and $Ω_{QQ'}$ $(Q,Q'=b,c)$ in the diquark picture. Using the derived Regge trajectory relations, we estimate the masses of the $λ$-excited states and the $ρ$-excited states, which are consistent with other theoretical predictions. Both the $λ$-trajectories and $ρ$-trajectories are discussed. We show that the $ρ$-trajectories behave differently from the $λ$-trajectories. Specifically, the $ρ$-trajectories behave as $M{\sim}x_ρ^{2/3}$ $(x_ρ=n_r,l)$, whereas the $λ$-trajectories follow $M{\sim}x_λ^{1/2}$ $(x_λ=N_r,L)$. By using the obtained relations, the baryon Regge trajectory provides a straightforward and easy method for estimating the spectra of both the $λ$-excited states and $ρ$-excited states. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2502_12487 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $λ$ and $ρ$ trajectories for the doubly heavy baryons in the diquark picture Song, He Xie, Jia-Qi Liu, Xin-Ru Chen, Jiao-Kai High Energy Physics - Phenomenology We present the explicit form of the Regge trajectory relations for the doubly heavy baryons $Ξ_{QQ'}$ and $Ω_{QQ'}$ $(Q,Q'=b,c)$ in the diquark picture. Using the derived Regge trajectory relations, we estimate the masses of the $λ$-excited states and the $ρ$-excited states, which are consistent with other theoretical predictions. Both the $λ$-trajectories and $ρ$-trajectories are discussed. We show that the $ρ$-trajectories behave differently from the $λ$-trajectories. Specifically, the $ρ$-trajectories behave as $M{\sim}x_ρ^{2/3}$ $(x_ρ=n_r,l)$, whereas the $λ$-trajectories follow $M{\sim}x_λ^{1/2}$ $(x_λ=N_r,L)$. By using the obtained relations, the baryon Regge trajectory provides a straightforward and easy method for estimating the spectra of both the $λ$-excited states and $ρ$-excited states. |
| title | $λ$ and $ρ$ trajectories for the doubly heavy baryons in the diquark picture |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2502.12487 |