Spectroscopy of charmed baryons from lattice QCD

TL;DR

This paper uses lattice QCD to compute the spectra of various charmed baryons, revealing detailed quantum states and energy splittings, advancing understanding of heavy baryon structure.

Contribution

It introduces a comprehensive lattice QCD approach with novel operators and techniques to accurately determine excited states of charmed baryons, including spin and symmetry analysis.

Findings

Baryonic states with spins up to 7/2 identified

Spectra show states consistent with SU(6) x O(3) symmetry

Energy splittings match expectations across quark masses

Abstract

We present the ground and excited state spectra of singly, doubly and triply charmed baryons by using dynamical lattice QCD. A large set of baryonic operators that respect the symmetries of the lattice and are obtained after subduction from their continuum analogues are utilized. Using novel computational techniques correlation functions of these operators are generated and the variational method is exploited to extract excited states. The lattice spectra that we obtain have baryonic states with well-defined total spins up to 7/2 and the low lying states remarkably resemble the expectations of quantum numbers from SU(6) $\otimes$ O(3) symmetry. Various energy splittings between the extracted states, including splittings due to hyperfine as well as spin-orbit coupling, are considered and those are also compared against similar energy splittings at other quark masses.