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Commentary on rainbow-ladder truncation for excited states and exotics

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arxiv 1109.3459 v1 pith:LWB66UAD submitted 2011-09-15 nucl-th hep-lathep-phnucl-ex

classification nucl-thhep-lathep-phnucl-ex
keywords truncationexcitedinteractionkernelrainbow-ladderapplicationassistingbehaviour
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Space- and time-like electromagnetic form factors of the $\mathbf{\Omega}$ baryon

    hep-ph 2026-06 unverdicted novelty 6.0 of 10

    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.

  2. Spectra of light and heavy mesons with $J \le 5$ in a relativistic Bethe-Salpeter approach

    hep-ph 2025-10 conditional novelty 6.0 of 10

    First J=4,5 meson Bethe-Salpeter tensor bases plus exploratory rainbow-ladder spectra and Regge trajectories from light through bottom quarkonia.

  3. Imaging the charge distributions of flavor-symmetric and -asymmetric mesons

    hep-ph 2025-06 conditional novelty 5.0 of 10

    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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