Precise study of triply charmed baryons $\Omega_{ccc}$

TL;DR

This paper provides the most precise lattice QCD calculation of the ground state mass of the triply-charmed baryon $\,Omega_{ccc}$, including systematic uncertainties, and predicts its spin-3/2 and spin-3/2 negative states.

Contribution

It introduces a highly accurate lattice QCD approach using multiple ensembles and actions to determine the $\,Omega_{ccc}$ baryon mass with systematic error control.

Findings

Mass of $\,Omega_{ccc} (3/2^{+})$ is 4793(5)(+11-8) MeV.

Predicted mass of $\,Omega_{ccc} (3/2^{-})$ is 5094(12)(+19-17) MeV.

Achieved the most precise determination of the triply-charmed baryon mass to date.

Abstract

We present the most precise results for the ground state mass of the triply-charmed spin-$3/2$ baryon using lattice quantum chromodynamics. The calculations are performed on six $N_f=2+1+1$ Highly Improved Staggered Quark (HISQ) lattice ensembles generated by the MILC collaboration. Two different lattice setups are employed: in the first one, a fully dynamical calculation with HISQ action is performed, while in the second calculation, an overlap action is utilized for the valence charm quark dynamics. Following the continuum extrapolation of our results, obtained at five different lattice spacings, two different volumes, and two different actions, our prediction for the mass of the lowest triply charmed spin-3/2 baryon, $\Omega_{ccc} (3/2^{+})$, is $4793 (5) \left(^{+11}_{-8}\right)$ MeV. This is the most precise determination to date, fully addressing the systematic uncertainties. We also predict the $\Omega_{ccc} (3/2^{-})$ mass to be $5094 (12) \left(^{+19}_{-17}\right)$ MeV.