Masses of positive- and negative-parity hadron ground-states, including those with heavy quarks

Abstract

A symmetry-preserving treatment of a vector$\times$vector contact interaction is used to compute spectra of ground-state $J^P=0^{\pm },1^{\pm }$ $(f\bar{g})$ mesons, their partner diquark correlations, and $J^P=1/2^{\pm },3/2^{\pm }$ $(fgh)$ baryons, where $f,g,h\in \{u,d,s,c,b\}$. Results for the leptonic decay constants of all mesons are also obtained, including scalar and pseudovector states involving heavy quarks. The spectrum of baryons produced by this chiefly algebraic approach reproduces the 64 masses known empirically or computed using lattice-regularised quantum chromodynamics with an accuracy of 1.4(1.2)%. It also has the richness of states typical of constituent-quark models and predicts many baryon states that have not yet been observed. The study indicates that dynamical, nonpointlike diquark correlations play an important role in all baryons; and, typically, the lightest allowed diquark is the most important component of a baryon's Faddeev amplitude.

21 pages, 7 tables, 5 figures. arXiv admin note: text overlap with arXiv:1903.00160

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• Hadron and light nucleus radii from electron scattering
• Bethe-Salpeter kernel and properties of strange-quark mesons
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• Nucleon axial form factor at large momentum transfers
• Quark anomalous magnetic moment and its effects on the $\rho$ meson properties
• Heavy + heavy and heavy + light pseudoscalar to vector semileptonic transitions
• Contact interaction analysis of octet baryon axialvector and pseudoscalar form factors
• Composition of low-lying $\mathbf{J}={\frac{3}{2}}^{\pm }\mathbf{\Delta }$-baryons
• Heavy+light pseudoscalar meson semileptonic transitions
• Transverse momentum distributions of valence quark in light and heavy vector mesons
• Purely leptonic decays of the ground charged vector mesons
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• Regge trajectories for the heavy-light diquarks
• Strangeness content of the pion in the U(3) Nambu-Jona-Lasinio model
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• 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