Investigation of ${\Xi }_c^0$ in a chiral quark model

Abstract

Recently, three new states of ${\Xi }_c^0$ were observed in the invariant mass spectrum of ${\Lambda }_c^{+}{K}^{-}$ by LHCb collaboration. In this work, we use a chiral quark model to investigate these three exited states with the help of Gaussian expansion method both in three-quark structure and in five-quark structure with all possible quantum numbers $I{J}^P=\frac{1}{2}(\frac{1}{2}{)}^{-}$, $\frac{1}{2}(\frac{3}{2}{)}^{-}$, $\frac{1}{2}(\frac{5}{2}{)}^{-}$, $\frac{3}{2}(\frac{1}{2}{)}^{-}$, $\frac{3}{2}(\frac{3}{2}{)}^{-}$ and $\frac{3}{2}(\frac{5}{2}{)}^{-}$ . The calculations shows that the 2$S$ states of ${\Xi }_c^{\prime }(2579{)}^0$ and ${\Xi }_c(2645{)}^0$ are comparable to experimental results; In addition, the resonance states of five-quark configuration are possible candidates of these new states with negative parity by using the real scaling method and their decay width are also given.

Comments: 9 pages, 5 figures