Spectroscopy of doubly charmed baryons from lattice QCD

Abstract

We present the ground and excited state spectra of doubly charmed baryons from lattice QCD with dynamical quark fields. Calculations are performed on anisotropic lattices of size $1{6}^{3}\ifmmode\times\else\texttimes\fi{}128$, with inverse spacing in temporal direction ${a}_{t}^{\ensuremath{-}1}=5.67(4)\text{ }\mathrm{GeV}$ and with a pion mass of about 390 MeV. A large set of baryonic operators that respect the symmetries of the lattice yet which retain a memory of their continuum analogues are used. These operators transform as irreducible representations of ${\mathrm{SU}(3)}_{F}$ symmetry for flavor, SU(4) symmetry for Dirac spins of quarks and O(3) for spatial symmetry. The distillation method is utilized to generate baryon correlation functions which are analyzed using the variational fitting method to extract excited states. The lattice spectra obtained have baryonic states with well-defined total spins up to $7/2$ and the pattern of low-lying states does not support the diquark picture for doubly charmed baryons. On the contrary the calculated spectra are remarkably similar to the expectations from models with an $\mathrm{SU}(6)\ifmmode\times\else\texttimes\fi{}\mathrm{O}(3)$ symmetry. Various spin-dependent energy splittings between the extracted states are also evaluated.