Ground-State Heavy-Baryon Mass Spectrum in the Relativistic Independent Quark Model

Abstract

We extend our work to compute the ground-state baryon mass spectrum containing charm and bottom quarks in the relativistic independent quark (RIQ) model with an average flavor--independent confining potential in equally mixed scalar--vector harmonic form. Each quark moves as a Dirac particle inside the potential. The resulting core mass is then corrected perturbatively, accounting for the pion self-energy, pion exchange, and pairwise color--electric and color--magnetic one-gluon exchange. Six input parameters common to every baryon: the potential parameters (confinement strength, the potential offset) and the $u(=d)$, $s$, $c$, and $b$ constituent quark masses are optimized using a few experimentally measured baryon states. The model then uses these optimized parameters to predict the mass spectra of doubly heavy, mixed-$bc$, and triply heavy baryons. We compare our predictions with lattice QCD, relativistic quark model results, and available experimental measurements. Our results are consistent with these model predictions and experimental results.