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Commentary on rainbow-ladder truncation for excited states and exotics
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Ground-state, radially-excited and exotic scalar-, vector- and flavoured-pseudoscalar-mesons are studied in rainbow-ladder truncation using an interaction kernel that is consonant with modern DSE- and lattice-QCD results. The inability of this truncation to provide realistic predictions for the masses of excited- and exotic-states is confirmed and explained. On the other hand, its application does provide information that is potentially useful in proceeding beyond this leading-order truncation, e.g.: assisting with development of projection techniques that ease the computation of excited state properties; placing qualitative constraints on the long-range behaviour of the interaction kernel; and highlighting and illustrating some features of hadron observables that do not depend on details of the dynamics.
Forward citations
Cited by 5 Pith papers
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Space- and time-like electromagnetic form factors of the $\mathbf{\Omega}$ baryon
Predictions for space- and time-like electromagnetic form factors of the Ω baryon obtained in rainbow-ladder DSE with vector⊗vector contact interaction and Poincaré-covariant Faddeev equation.
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Spectra of light and heavy mesons with $J \le 5$ in a relativistic Bethe-Salpeter approach
First J=4,5 meson Bethe-Salpeter tensor bases plus exploratory rainbow-ladder spectra and Regge trajectories from light through bottom quarkonia.
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Distribution amplitudes of heavy-light pseudo-scalar and vector mesons from Dyson-Schwinger equations framework
First DSE predictions for B*, B*_s, and B*_c distribution amplitudes show peaks near the Euclidean constituent quark mass ratio and a universal spin ordering.
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Imaging the charge distributions of flavor-symmetric and -asymmetric mesons
Using a maximum-entropy inversion of DSE/BSE form factors, the authors map meson charge profiles and find quark-antiquark distances that shrink with quark mass and grow by 5-15% for spin-aligned mesons.
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$D^* D \pi$ and $B^* B \pi$ couplings from Dyson-Schwinger equations framework
A Dyson-Schwinger/Bethe-Salpeter calculation predicts g_D*Dpi = 16.22 and g_B*Bpi = 40.09, with static couplings consistent with lattice results.
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