Hadronic structure on the light-front IV: Heavy and light Baryons

Abstract

This work is a continuation in our series of papers, that addresses quark models of hadronic structure on the light front. The chief focus of this paper is the quantum-mechanical solution of the three-quark model Hamiltonian, describing baryons. In Jacobi coordinates, we use a harmonic oscillator basis for the transverse directions. For the longitudinal momentum fractions $x_i$, the pertinent basis follows from quantum mechanics in a "triangular cup" potential, which we solve exactly. We calculate the masses and light front wave functions for the flavor symmetric ${\frac{3}{2}}^{+}$ baryons $bbb,ccc,sss,uuu$.

24 pages, 12 figures

References in corpus (3)

• Heavy Baryons in a Quark Model
• Hadronic structure on the light-front V. Diquarks, Nucleons and multiquark Fock components
• Light-front wave functions of mesons, baryons and pentaquarks, with topology-induced local 4-quark interaction

Cited by in corpus (11)

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• Quark pair angular correlations in the proton: entropy versus entanglement negativity
• A Journey of Seeking Pressure and Forces in the Nucleon
• Hadronic structure on the light-front VI. Generalized parton distributions of unpolarized hadrons
• Tomography of the Rho meson in the QCD Instanton Vacuum: Transverse Momentum Dependent Parton Distribution Functions
• Sea contribution to the charge radii and quadrupole moment of $J^P={\frac{1}{2}}^{+},{\frac{3}{2}}^{+}$ baryons
• Off forward non-SCHC contributions to exclusive vector quarkonium production from the "spin dependent BFKL Pomeron"
• Tomography of Pions and Kaons in the QCD Vacuum: Transverse Momentum Dependent Parton Distribution Functions