Masses of Light and Heavy Mesons and Baryons: A Unified Picture

Abstract

We compute masses of positive parity spin-$1/2$ and $3/2$ baryons composed of $u$, $d$, $s$, $c$ and $b$ quarks in a quark-diaquark picture. The mathematical foundation for this analysis is implemented through a symmetry-preserving Schwinger-Dyson equations treatment of a vector-vector contact interaction, which preserves key features of quantum chromodynamics, such as confinement, chiral symmetry breaking and low energy Goldberger-Treiman relations. This study requires a computation of diquark correlations containing these quarks which in turn are readily inferred from solving the Bethe-Salpeter equations of the corresponding mesons. Therefore, it serves as a unified formalism for a multitude of mesons and baryons. It builds on our previous works on the study of masses, decay constants and form factors of quarkonia and light mesons, employing the same model. We use two sets of parameters, one which remains exactly the same for both the light and heavy sector hadrons, and another where the coupling strength is allowed to evolve according to the available mass scales of quarks. Our results are in very good agreement with the existing experimental data as well as predictions of other theoretical approaches whenever comparison is possible.

15 pages, 8 figures

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• Distribution Amplitudes of Heavy Mesons and Quarkonia on the Light Front
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• Purely leptonic decays of the ground charged vector mesons
• NLO effects for ${\Omega }_{QQQ}$ Baryons in QCD Sum Rules
• Regge trajectories for the heavy-light diquarks
• Color, Flavor, Temperature and Magnetic Field Dependence of QCD Phase Diagram: Magnetic Catalysis and its Inverse
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• Identifying the ${\Lambda }_b(6146{)}^0$ and ${\Lambda }_b(6152{)}^0$ as $D$-wave bottom baryons
• Triply heavy baryon spectroscopy revisited
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• Chiral corrections to the masses of the doubly heavy baryons
• Systematic analysis of the mass spectra of triply heavy baryons
• U(5) Nambu-Jona-Lasinio model with flavor dependent coupling constants: pseudoscalar and scalar mesons masses
• The rainbow modified-ladder approximation and degenerate pion
• Solutions of the bosonic master-field equation from a supersymmetric matrix model
• Mass-dependence of pseudocritical temperature in mean field approximation
• Magnetic moments of spin--1/2 triply-heavy baryons: A study of Light-cone QCD and Quark-diquark model
• Chiral Lagrangians for spin-$\frac{1}{2}$ and spin-$\frac{3}{2}$ doubly charmed baryons
• Baryons and baryoniums in the perspective of QCD sum rules
• Mass spectrum, magnetic moments and Regge trajectories of ${\Omega }_{ccb}$ and ${\Omega }_{cbb}$ baryons in the nonrelativistic quark--diquark model
• Production of the triply heavy ${\Omega }_{ccc}$ and ${\Omega }_{bbb}$ baryons at $e^{+}{e}^{-}$ colliders
• Diquark size effects in the quark-diquark approximation for baryons
• Mesons and Baryons: Parity Partners
• Unified analysis of screening masses for vector and axial-vector mesons and their diquark partners in the Contact Interaction model