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.

19 pages, 5 figures, 5 tables. Includes estimate of s-quark contribution to proton tensor charge. Phys. Rev. D (in press)

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• Masses of ground-state mesons and baryons, including those with heavy quarks
• Masses of Light and Heavy Mesons and Baryons: A Unified Picture
• Masses of positive- and negative-parity hadron ground-states, including those with heavy quarks
• Parity partners in the baryon resonance spectrum
• Parton distribution amplitudes: revealing diquarks in the proton and Roper resonance
• Proton tensor charges from a Poincaré-covariant Faddeev equation
• Proton and pion distribution functions in counterpoint
• Jülich-Bonn-Washington Model for Pion Electroproduction Multipoles
• Parton distributions of light quarks and antiquarks in the proton
• Dynamical diquarks in the ${\mathbf{\gamma }}^{(\ast )}\mathbf{p}\to \mathbf{N}(1535){\frac{1}{2}}^{-}$ transition
• Spectrum and structure of octet and decuplet baryons and their positive-parity excitations
• Valence quark ratio in the proton
• Experimental constraint on quark electric dipole moments
• Transversity distributions and tensor charges of the nucleon: extraction from dihadron production and their universal nature
• First simultaneous global QCD analysis of dihadron fragmentation functions and transversity parton distribution functions
• Spatial imaging of proton via leading-twist non-skewed GPDs with basis light-front quantization
• N* Structure and Strong QCD
• Coupled-channel analysis of pion- and eta-electroproduction with the Jülich-Bonn-Washington model
• Nucleon axial form factor at large momentum transfers
• Couplings between the $\rho$ and $D$- and $D^{\ast }$-mesons
• A symmetry preserving contact interaction treatment of the kaon
• Contact interaction analysis of octet baryon axialvector and pseudoscalar form factors
• Nucleon Quark Distribution Functions from the Dyson-Schwinger Equations
• Heavy+light pseudoscalar meson semileptonic transitions
• Chiral phase transition from the Dyson-Schwinger equations in a finite spherical volume
• Mass Spectra of One or Two Heavy Quark Mesons and Diquarks within a Nonrelativistic Potential Model
• Hadron Structure using Continuum Schwinger Function Methods
• A contact interaction model for the $\eta$ and ${\eta }^{\prime }$ mesons in a SDE-BSE approach to QCD: masses, decay widths and transition form factors
• Valence-quark structure N* resonances from DSEs
• Mesons and Baryons: Parity Partners