Masses of ground and excited-state hadrons

Abstract

We present the first Dyson-Schwinger equation calculation of the light hadron spectrum that simultaneously correlates the masses of meson and baryon ground- and excited-states within a single framework. At the core of our analysis is a symmetry-preserving treatment of a vector-vector contact interaction. In comparison with relevant quantities the root-mean-square-relative-error/degree-of freedom is 13%. Notable amongst our results is agreement between the computed baryon masses and the bare masses employed in modern dynamical coupled-channels models of pion-nucleon reactions. Our analysis provides insight into numerous aspects of baryon structure; e.g., relationships between the nucleon and Delta masses and those of the dressed-quark and diquark correlations they contain.

25 pages, 7 figures, 4 tables

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• Spectrum of light- and heavy-baryons
• Natural constraints on the gluon-quark vertex
• The quark-gluon vertex in Landau gauge bound-state studies
• On light baryons and their excitations
• Role of diquark correlations and the pion cloud in nucleon elastic form factors
• Masses of Light and Heavy Mesons and Baryons: A Unified Picture
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• Evidence for the $N^{\prime }(1720)3/2^{+}$ Nucleon Resonance from Combined Studies of CLAS ${\pi }^{+}{\pi }^{-}p$ Photo- and Electroproduction Data
• Nucleon axial-vector and pseudoscalar form factors, and PCAC relations
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• Dressed Quark Mass Dependence of Pion and Kaon Form Factors
• Diquark properties from full QCD lattice simulations
• Leading-twist distribution amplitudes of scalar- and vector-mesons
• Nucleon axial form factor at large momentum transfers
• A symmetry preserving contact interaction treatment of the kaon
• Pion scalar, vector and tensor form factors from a contact interaction
• Composition of low-lying $\mathbf{J}={\frac{3}{2}}^{\pm }\mathbf{\Delta }$-baryons
• Theory introduction to baryon spectroscopy
• Color, Flavor, Temperature and Magnetic Field Dependence of QCD Phase Diagram: Magnetic Catalysis and its Inverse
• Hadronic bound-states in SU(2) from Dyson--Schwinger Equations
• Mass Spectra of One or Two Heavy Quark Mesons and Diquarks within a Nonrelativistic Potential Model
• Exposing the effect of $p$-wave in pion triplet under the strong magnetic field
• $\Delta$-baryon axialvector and pseudoscalar form factors, and associated PCAC relations
• A contact interaction model for the $\eta$ and ${\eta }^{\prime }$ mesons in a SDE-BSE approach to QCD: masses, decay widths and transition form factors
• Mesons and Baryons: Parity Partners
• Baryons with functional methods
• Chiral Symmetry Restoration and Deconfinement in the Contact Interaction Model of Quarks with a Parallel Electric and Magnetic Fields