Revisit assignments of the new excited ${\Omega }_c$ states with QCD sum rules

Abstract

In this article, we distinguish the contributions of the positive parity and negative parity ${\Omega }_c$ states, study the masses and pole residues of the 1S, 1P, 2S and 2P ${\Omega }_c$ states with the spin $J=\frac{1}{2}$ and $\frac{3}{2}$ using the QCD sum rules in a consistent way, and revisit the assignments of the new narrow excited ${\Omega }_c^0$ states. The predictions support assigning the ${\Omega }_c(3000)$ to be the 1P ${\Omega }_c$ state with $J^P={\frac{1}{2}}^{-}$, assigning the ${\Omega }_c(3090)$ to be the 1P ${\Omega }_c$ state with $J^P={\frac{3}{2}}^{-}$ or the 2S ${\Omega }_c$ state with $J^P={\frac{1}{2}}^{+}$, and assigning ${\Omega }_c(3119)$ to be the 2S ${\Omega }_c$ state with $J^P={\frac{3}{2}}^{+}$.

Comments: 19 pages, 22 figures. arXiv admin note: text overlap with arXiv:1705.07745