Contact-interaction Faddeev equation and, inter alia, proton tensor charges
Abstract
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.
Cite
@article{arxiv.1509.03311,
title = {Contact-interaction Faddeev equation and, inter alia, proton tensor charges},
author = {Shu-Sheng Xu and Chen Chen and Ian C. Cloet and Craig D. Roberts and Jorge Segovia and Hong-Shi Zong},
journal= {arXiv preprint arXiv:1509.03311},
year = {2016}
}
Comments
19 pages, 5 figures, 5 tables. Includes estimate of s-quark contribution to proton tensor charge. Phys. Rev. D (in press)