Excited-state spectroscopy of singly, doubly and triply-charmed baryons from lattice QCD

TL;DR

This study uses lattice QCD to compute the spectra of singly, doubly, and triply-charmed baryons, revealing states with well-defined spins and quantum numbers consistent with theoretical models.

Contribution

It introduces a comprehensive set of baryonic operators respecting lattice symmetries and employs novel computational techniques to extract excited states from lattice QCD data.

Findings

Baryonic states with spins up to 7/2 identified

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

Low-lying states match theoretical expectations

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. These operators transform as irreducible representations of SU(3)$_F$ symmetry for flavour, SU(4) symmetry for Dirac spins of quarks and O(3) symmetry for orbital angular momenta. 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.