Exploring the properties of low-lying excited ${\Xi }_c$ and ${\Xi }_c^{\prime }$ baryons

Abstract

Motivated by the rapidly accumulating experimental data, we systematically calculate the ${\Xi }_c$ and ${\Xi }_c^{\prime }$ mass spectra for the $1S$-, $1P$-, and $1D$-wave states and investigate the strong decay properties of the $1P$- and $1D$-wave states, thereby interpreting the internal structure of the currently controversial excited states and providing useful guidance for future experimental searches. The main conclusions are summarized as follows. ${\Xi }_c(2790)$ and ${\Xi }_c(2815)$ can be well explained as ${\Xi }_{c}1P|J^P=1/2^{-},1{⟩}_{\lambda }$ and ${\Xi }_{c}1P|J^P=3/2^{-},1{⟩}_{\lambda }$, respectively. ${\Xi }_c(2882)$ may correspond to ${\Xi }_{c}1P|J^P=1/2^{-},0{⟩}_{\rho }$ or ${\Xi }_{c}1P|J^P=1/2^{-},1{⟩}_{\rho }$; under this interpretation, ${\Xi }_c\pi$ and ${\Xi }_c^{\prime }\pi$ would be promising channels for its detection. ${\Xi }_c(2923)$ might be assigned to ${\Xi }_c^{\prime }1P|J^P=3/2^{-},1{⟩}_{\lambda }$, but further confirmation is required. ${\Xi }_c(2939)$ is very likely to be ${\Xi }_c^{\prime }1P|J^P=3/2^{-},2{⟩}_{\lambda }$ and has a good potential to be observed in the final states ${\Xi }_c\pi$ and ${\Xi }_c^{\prime \ast }\pi$. ${\Xi }_c(2965)$ can be explained as ${\Xi }_c^{\prime }1P|J^P=5/2^{-},2{⟩}_{\lambda }$ and ${\Xi }_c\pi$ decay channel is a promising additional mode for future experimental searches. ${\Xi }_c(3055)$ and ${\Xi }_c(3080)$ can be assigned as the quark configurations ${\Xi }_{c}1D|J^P=3/2^{+},2{⟩}_{\lambda \lambda }$ and ${\Xi }_{c}1D|J^P=5/2^{+},2{⟩}_{\lambda \lambda }$, respectively. ${\Xi }_c(3123)$ is possibly state ${\Xi }_c^{\prime }1D|J^P=1/2^{+},1{⟩}_{\lambda \lambda }$ or ${\Xi }_c^{\prime }1D|J^P=5/2^{+},3{⟩}_{\lambda \lambda }$, with the latter being more favorable. Decay channels $\Lambda /\Sigma D$ are very likely to serve as a criterion for distinguishing between these two possible candidates.

arXiv comment21 pages, 3 figures