Strong decays of the 1P and 2D doubly charmed states

We perform a systematical investigation of the strong decay properties of the low-lying $1P$- and $2D$-wave doubly charmed baryons with the ${}^3{P}_0$ quark pair creation model. The main predictions include: (i) in the ${\mathrm{\Xi }}_{cc}$ and ${\mathrm{\Omega }}_{cc}$ family, the $1P\rho$ mode excitations with $J^P=1\mathrm{/}{2}^{-}$ and $3\mathrm{/}{2}^{-}$ should be the fairly narrow states. (ii) For the $1P\lambda$ mode excitations, ${\mathrm{\mid }}^2{P}_{\lambda }{\frac{3}{2}}^{-}⟩$ and ${\mathrm{\mid }}^4{P}_{\lambda }{\frac{3}{2}}^{-}⟩$ have a width of $\mathrm{\Gamma }\sim 150$ MeV, and mainly decay into the $J^P=3\mathrm{/}{2}^{+}$ ground state. Meanwhile, ${\mathrm{\mid }}^2{P}_{\lambda }{\frac{1}{2}}^{-}⟩$ and ${\mathrm{\mid }}^4{P}_{\lambda }{\frac{5}{2}}^{-}⟩$ are the narrow states with a width of $\mathrm{\Gamma }\sim 40$ MeV, and mainly decay into the ground state with $J^P=1\mathrm{/}{2}^{+}$. (iii) The $2D_{\rho \rho }$ states mainly decay via emitting a heavy-light meson if their masses are above the threshold of ${\mathrm{\Lambda }}_{c}D$ or ${\mathrm{\Xi }}_{c}D$, respectively. Their strong decay widths are sensitive to the masses and can reach several tens MeV. (iv) The $2D_{\lambda \lambda }$ states may be broad states with a width of $\mathrm{\Gamma }>100$ MeV. It should be emphasized that the states with $J^P=3\mathrm{/}{2}^{+}$ and $5\mathrm{/}{2}^{+}$ mainly decay into the ground state with $J^P=3\mathrm{/}{2}^{+}$ plus a light-flavor meson, while the states with $J^P=1\mathrm{/}{2}^{+}$ and $7\mathrm{/}{2}^{+}$ mainly decay into the ground state with $J^P=1\mathrm{/}{2}^{+}$ plus a light-flavor meson.