Doubly heavy baryon spectra guided by lattice QCD

TL;DR

This study predicts the spectra of doubly heavy baryons using lattice QCD data, providing a unified potential model and highlighting the need for more precise lattice calculations to distinguish spin-dependent effects.

Contribution

It introduces a consistent potential model for heavy baryons based on lattice QCD results, connecting spin-independent and spin-dependent interactions.

Findings

Spectra of $bcn$ and $bcs$ baryons are predicted.

The model aligns with existing lattice QCD results.

Future lattice work can refine spin-dependent interaction constraints.

Abstract

This paper provides results for the ground state and excited spectra of three-flavored doubly heavy baryons, $bcn$ and $bcs$. We take advantage of the spin-independent interaction recently obtained to reconcile the lattice SU(3) QCD static potential and the results of nonperturbative lattice QCD for the triply heavy baryon spectra. We show that the spin-dependent potential might be constrained on the basis of nonperturbative lattice QCD results for the spin splittings of three-flavored doubly heavy baryons. Our results may also represent a challenge for future lattice QCD work, because a smaller lattice error could help in distinguishing between different prescriptions for the spin-dependent part of the interaction. Thus, by comparing with the reported baryon spectra obtained with parameters estimated from lattice QCD, one can challenge the precision of lattice calculations. The present work supports a coherent description of singly, doubly and triply heavy baryons with the same Cornell-like interacting potential. The possible experimental measurement of these states at LHCb is an incentive for this study.