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arxiv: 2602.02880 · v2 · pith:A2VVWHBInew · submitted 2026-02-02 · ✦ hep-ph · hep-lat· nucl-ex· nucl-th

Contact interaction treatment of the nucleon Faddeev equation

classification ✦ hep-ph hep-latnucl-exnucl-th
keywords treatmentequationfaddeevinteractionnucleoncontactpredictionsresults
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Working with a symmetry-preserving treatment of a vector*vector contact interaction (SCI), a largely algebraic three-body Faddeev equation treatment of the nucleon bound state problem is introduced and used to deliver results for all nucleon charge and magnetisation distributions and their flavour separation. A strength of the SCI treatment is that it provides for a transparent understanding of this three-body approach to developing predictions for baryon observables. Comparisons of SCI results with predictions obtained in realistic-interaction Faddeev equation studies reveal the sensitivities of a given observable to the pointwise behaviour of the quark-quark interaction and phenomena associated with the emergence of hadron mass.

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