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mathbf{γ_(v) NN^(ast)} Electrocouplings in Dyson-Schwinger Equations

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arxiv 1602.02768 v1 pith:Y3ES47U3 submitted 2016-02-08 nucl-th hep-exhep-lathep-ph

$\mathbf{\gamma_{v} NN^{\ast}}$ Electrocouplings in Dyson-Schwinger Equations

classification nucl-th hep-exhep-lathep-ph
keywords equationssymmetrybreakingchiraldependencedsesdynamicaldyson-schwinger
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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abstract

A symmetry preserving framework for the study of continuum Quantum Chromodynamics (QCD) is obtained from a truncated solution of the QCD equations of motion or QCD's Dyson-Schwinger equations (DSEs). A nonperturbative solution of the DSEs enables the study of, e.g., hadrons as composites of dressed-quarks and dressed-gluons, the phenomena of confinement and dynamical chiral symmetry breaking (DCSB), and therefrom an articulation of any connection between them. It is within this context that we present a unified study of Nucleon, Delta and Roper elastic and transition electromagnetic form factors, and compare predictions made using a framework built upon a Faddeev equation kernel and interaction vertices that possess QCD-like momentum dependence with results obtained using a symmetry-preserving treatment of a vector$\,\otimes\,$vector contact-interaction. The comparison emphasises that experiment is sensitive to the momentum dependence of the running coupling and masses in QCD and highlights that the key to describing hadron properties is a veracious expression of dynamical chiral symmetry breaking in the bound-state problem.

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