Abstract
We calculate the low-lying spectrum of charmed baryons in lattice QCD on the $32^3\times64$, $N_f=2+1$ PACS-CS gauge configurations at the almost physical pion mass of $\sim 156$ MeV/c$^2$. By employing a set of interpolating operators with different Dirac structures and quark-field smearings for the variational analysis, we extract the ground and first few excited states of the spin-$1/2$ and spin-$3/2$, singly-, doubly-, and triply-charmed baryons. Additionally, we study the $\Xi_c$-$\Xi_c^\prime$ mixing and the operator dependence of the excited states in a variational approach. We identify several states that lie close to the experimentally observed excited states of the $\Sigma_c$, $\Xi_c$ and $\Omega_c$ baryons, including some of the $\Xi_c$ states recently reported by LHCb. Our results for the doubly- and triply-charmed baryons are suggestive for future experiments.
Highlights
Recent experimental results from the LHCb Collaboration on the Ωc, Ξc and the doubly charmed Ξcc state have put further emphasis on the relevance of the hadron spectroscopy
By employing a set of interpolating operators with different Dirac structures and quark-field smearings for the variational analysis, we extract the ground and first few excited states of the spin-1=2 and spin-3=2, singly, doubly, and triply charmed baryons
We identify several states that lie close to the experimentally observed excited states of the Σc, Ξc and Ωc baryons, including some of the Ξc states recently reported by LHCb
Summary
Recent experimental results from the LHCb Collaboration on the Ωc, Ξc and the doubly charmed Ξcc state have put further emphasis on the relevance of the hadron spectroscopy. There is a remarkable agreement between the results of the different groups utilizing different types of quark actions and approaches to the physical point Most of those studies are motivated by the observation of the Ξcc baryon by LHCb and their focus has been on the lowest-lying positive parity baryons. The RQCD Collaboration reported results for the singly and doubly charmed baryons, including excited states [71] They employ several 2 þ 1-flavor gauge ensembles with a fixed lattice spacing but two different volumes and varying light-quark masses with the lightest one corresponding to a pion mass of mπ ∼ 260 MeV=c2.
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