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Poincare Covariant Quark Models of Baryon Form Factors

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arxiv hep-ph/9707388 v2 pith:ECDCK5AL submitted 1997-07-18 hep-ph

classification hep-ph
keywords modelsquarkbaryoncovariantpoincareaccuracyamplitudesconfining
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abstract

Poincare covariant quark models of the the nucleon, the $\Delta$ resonance and their excitations are explored. The baryon states are represented by eigenfunctions of the four-velocity and a confining mass operator, which reproduces the empirical spectrum up to $\sim$ 1700 MeV to an accuracy of $\sim 6%$. Models of constituent quark currents provide the relations between ground-state properties and transition amplitudes.

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  1. Reflection positivity in Euclidean formulations of relativistic quantum mechanics of particles

    hep-th 2025-06 conditional novelty 5.0 of 10

    By dropping locality, the authors construct reflection-positive Euclidean distributions, quasi-Schwinger functions, that encode relativistic quantum mechanics of finite particle systems with cluster properties.

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