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

Abstract

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 ${\Xi }_{cc}$ and ${\Omega }_{cc}$ family, the $1P\rho$ mode excitations with $J^P=1/2^{-}$ and $3/2^{-}$ should be the fairly narrow states. (ii) For the $1P\lambda$ mode excitations, ${|}^2{P}_{\lambda }{\frac{3}{2}}^{-}⟩$ and ${|}^4{P}_{\lambda }{\frac{3}{2}}^{-}⟩$ have a width of $\Gamma \sim 150$ MeV, and mainly decay into the $J^P=3/2^{+}$ ground state. Meanwhile, ${|}^2{P}_{\lambda }{\frac{1}{2}}^{-}⟩$ and ${|}^4{P}_{\lambda }{\frac{5}{2}}^{-}⟩$ are the narrow states with a width of $\Gamma \sim 40$ MeV, and mainly decay into the ground state with $J^P=1/2^{+}$. (iii) The $2D_{\rho \rho }$ states mainly decay via emitting a heavy-light meson if their masses are above the threshold of ${\Lambda }_{c}D$ or ${\Xi }_{c}D$, 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 $\Gamma >100$ MeV. It should be emphasized that the states with $J^P=3/2^{+}$ and $5/2^{+}$ mainly decay into the ground state with $J^P=3/2^{+}$ plus a light-flavor meson, while the states with $J^P=1/2^{+}$ and $7/2^{+}$ mainly decay into the ground state with $J^P=1/2^{+}$ plus a light-flavor meson.

12 pages,7 figures

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