Baryon masses estimate in heavy flavor QCD

Abstract

We apply the renormalization group procedure for effective particles (RGPEP) to the QCD eigenvalue problem for only heavy quarks. We derive the effective Hamiltonian that acts on the Fock space by solving the RGPEP equation up to second order in powers of the coupling constant. The eigenstates that contain three quarks and two or more gluons are eliminated by inserting a gluon-mass term in the component with one gluon and formulate the eigenvalue problem for baryons. We estimate masses for $bbb$ and $ccc$ states and find that the results match the estimates obtained in lattice QCD and in quark models.

arXiv commentPresented by Mar{í}a Gómez-Rocha at the International Conference on the Structure of Baryons, November 7-11th, Universidad Pablo de Olavide, Sevilla, Spain. 11 pages, 2 figures, 2 tables

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• Triply-heavy/strange baryons with Cornell potential on a quantum computer
• Mass spectrum, magnetic moments and Regge trajectories of ${\Omega }_{ccb}$ and ${\Omega }_{cbb}$ baryons in the nonrelativistic quark--diquark model