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arxiv: 1509.03311 · v2 · submitted 2015-09-10 · ⚛️ nucl-th · hep-lat· hep-ph· nucl-ex

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Contact-interaction Faddeev equation and, inter alia, proton tensor charges

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classification ⚛️ nucl-th hep-lathep-phnucl-ex
keywords faddeevprotonchargesdressed-quarkedmsequationkernelnucleon
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A confining, symmetry-preserving, Dyson-Schwinger equation treatment of a vector-vector contact interaction is used to formulate Faddeev equations for the nucleon and Delta-baryon in which the kernel involves dynamical dressed-quark exchange and whose solutions therefore provide momentum-dependent Faddeev amplitudes. These solutions are compared with those obtained in the static approximation and with a QCD-kindred formulation of the Faddeev kernel. They are also used to compute a range of nucleon properties, amongst them: the proton's sigma-term; the large Bjorken-x values of separate ratios of unpolarised and longitudinally-polarised valence u- and d-quark parton distribution functions; and the proton's tensor charges, which enable one to directly determine the effect of dressed-quark electric dipole moments (EDMs) on neutron and proton EDMs.

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