Analysis of the ${\Lambda }_c(2860)$, ${\Lambda }_c(2880)$, ${\Xi }_c(3055)$ and ${\Xi }_c(3080)$ as D-wave baryon states with QCD sum rules

Abstract

In this article, we tentatively assign the ${\Lambda }_c(2860)$, ${\Lambda }_c(2880)$, ${\Xi }_c(3055)$ and ${\Xi }_c(3080)$ to be the D-wave baryon states with the spin-parity $J^P={\frac{3}{2}}^{+}$, ${\frac{5}{2}}^{+}$, ${\frac{3}{2}}^{+}$ and ${\frac{5}{2}}^{+}$, respectively, and study their masses and pole residues with the QCD sum rules in a systematic way by constructing three-types interpolating currents with the quantum numbers $(L_{\rho },L_{\lambda })=(0,2)$, $(2,0)$ and $(1,1)$, respectively. The present predictions favor assigning the ${\Lambda }_c(2860)$, ${\Lambda }_c(2880)$, ${\Xi }_c(3055)$ and ${\Xi }_c(3080)$ to be the D-wave baryon states with the quantum numbers $(L_{\rho },L_{\lambda })=(0,2)$ and $J^P={\frac{3}{2}}^{+}$, ${\frac{5}{2}}^{+}$, ${\frac{3}{2}}^{+}$ and ${\frac{5}{2}}^{+}$, respectively. While the predictions for the masses of the $(L_{\rho },L_{\lambda })=(2,0)$ and $(1,1)$ D-wave ${\Lambda }_c$ and ${\Xi }_c$ states can be confronted to the experimental data in the future.

26 pages, 25 figures

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