Year: 2015
Type: article
Abstract: A confining, symmetry-preserving, Dyson-Schwinger equation treatment of a vector $\ensuremath{\bigotimes}$ vector contact interaction is used to formulate Faddeev equations for the nucleon and $\mathrm{\ensuremath{\Delta}}$-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 $\ensuremath{\sigma}$-term; the large Bjorken-$x$ values of separate ratios of unpolarized and longitudinally polarized 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.
Authors: Shu-Sheng Xu, Chen Chen, Ian C. Cloët, Craig D. Roberts, Jorge Segovia, Hong-Shi Zong
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2228823308