Parity partners in the baryon resonance spectrum

Abstract

We describe a calculation of the spectrum of flavour-SU(3) octet and decuplet baryons, their parity partners, and the radial excitations of these systems, made using a symmetry-preserving treatment of a vector-vector contact interaction as the foundation for the relevant few-body equations. Dynamical chiral symmetry breaking generates nonpointlike diquarks within these baryons and hence, using the contact interaction, flavour-antitriplet scalar, pseudoscalar and vector, and flavour-sextet axial-vector quark-quark correlations can all play an active role. The model yields reasonable masses for all systems studied, and Faddeev amplitudes for ground states and associated parity partners that sketch a realistic picture of their internal structure: ground-state, even parity baryons are constituted, almost exclusively, from like-parity diquark correlations; but orbital angular momentum plays an important role in the rest-frame wave functions of odd-parity baryons, whose Faddeev amplitudes are dominated by odd-parity diquarks.

arXiv comment11 pages, 4 figures, 4 tables

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• Spectrum of light- and heavy-baryons
• Masses of ground-state mesons and baryons, including those with heavy quarks
• Empirical Consequences of Emergent Mass
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• Reflections upon the Emergence of Hadronic Mass
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• Mesons and Baryons: Parity Partners