Charmed baryon spectrum from lattice QCD near the physical point

Abstract

We calculate the low-lying spectrum of charmed baryons in lattice QCD on the $32^3\times 64$, $N_f=2+1$ 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.

Comments: 17 pages, 8 figures. version published in PRD