Nucleon tensor charges and electric dipole moments

Abstract

A symmetry-preserving Dyson-Schwinger equation treatment of a vector-vector contact interaction is used to compute dressed-quark-core contributions to the nucleon $\sigma$-term and tensor charges. The latter enable one to directly determine the effect of dressed-quark electric dipole moments (EDMs) on neutron and proton EDMs. The presence of strong scalar and axial-vector diquark correlations within ground-state baryons is a prediction of this approach. These correlations are active participants in all scattering events and thereby modify the contribution of the singly-represented valence-quark relative to that of the doubly-represented quark. Regarding the proton $\sigma$-term and that part of the proton mass which owes to explicit chiral symmetry breaking, with a realistic $d$-$u$ mass splitting the singly-represented $d$-quark contributes 37% more than the doubly-represented $u$-quark; and in connection with the proton's tensor charges, ${\delta }_{T}u$, ${\delta }_{T}d$, the ratio ${\delta }_{T}d/{\delta }_{T}u$ is 18% larger than anticipated from simple quark models. Of particular note, the size of ${\delta }_{T}u$ is a sensitive measure of the strength of dynamical chiral symmetry breaking; and ${\delta }_{T}d$ measures the amount of axial-vector diquark correlation within the proton, vanishing if such correlations are absent.

20 pages, 6 figures, 4 tables. Corrected input Eqs.(B27), (B30). No material changes in computed results

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