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, 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 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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Aznauryan, I.G., et al.: Studies of nucleon resonance structure in exclusive meson electroproduction. Int. J. Mod. Phys. E 22, 1330015 (2013)
Roberts, C.D.: Opportunities and challenges for theory in the \(N^\ast \) program. AIP Conf. Proc. 1432, 19–25 (2011)
Kamano, H., et al.: Nucleon resonances within a dynamical coupled-channels model of \(\pi N\) and \(\gamma N\) reactions. Phys. Rev. C 88, 035209 (2013)
Cloët, I.C., et al.: Revealing dressed-quarks via the proton’s charge distribution. Phys. Rev. Lett. 111, 101803 (2013)
Chang, L., et al.: Pion electromagnetic form factor at spacelike momenta. Phys. Rev. Lett. 111, 141802 (2013)
Olive, K.A., et al.: The review of particle physics. Chin. Phys. C 38, 090001 (2014)
Mokeev, V.I., et al.: Experimental study of the \(P_{11}(1440)\) and \(D_{13}(1520)\) resonances from CLAS data on \(ep\rightarrow e^{\prime }\pi ^{+}\pi ^{-}p^{\prime }\). Phys. Rev. C 86, 035203 (2012)
Mokeev, V.I., et al.: Studies of \(N^\ast \) structure from the CLAS meson electroproduction data. Int. J. Mod. Phys. Conf. Ser. 26, 1460080 (2013)
Segovia, J., et al.: Insights into the \(\gamma ^{\ast }N\rightarrow \varDelta \) transition. Phys. Rev. C 88, 032201 (2013)
Segovia, J., et al.: Elastic and transition form factors of the \(\varDelta (1232)\). Few Body Syst. 55, 1–33 (2013)
Segovia, J., et al.: Nucleon and \(\varDelta \) elastic and transition form factors. Few Body Syst. 55, 1185–1222 (2014)
Segovia, J., et al.: Understanding the nucleon as a Borromean bound-state. Phys. Lett. B 750, 100–106 (2015)
Segovia, J., et al.: Completing the picture of the Roper resonance. Phys. Rev. Lett. 115, 171801 (2015)
Cahill, R.T., et al.: Baryon structure and QCD. Aust. J. Phys. 42, 129–145 (1989)
Eichmann, G., et al.: Nucleon mass from a covariant three-quark Faddeev equation. Phys. Rev. Lett. 104, 201601 (2010)
Cates, G.D., et al.: Flavor decomposition of the elastic nucleon electromagnetic form factors. Phys. Rev. Lett. 106, 252003 (2011)
Jones, H.F., et al.: Multipole \(\gamma N\varDelta \) form-factors and resonant photoproduction and electroproduction. Ann. Phys. 81, 1–14 (1973)
Eichmann, G., et al.: Nucleon to Delta electromagnetic transition in the Dyson–Schwinger approach. Phys. Rev. D 85, 093004 (2012)
Julia-Diaz, B., et al.: Extraction and interpretation of \(\gamma N\rightarrow \varDelta \) form factors within a dynamical model. Phys. Rev. C 75, 015205 (2007)
Sanchis-Alepuz, H., et al.: Pion cloud effects on baryon masses. Phys. Lett. B 733, 151–157 (2014)
Aznauryan, I.G., et al.: Electroexcitation of nucleon resonances from CLAS data on single pion electroproduction. Phys. Rev. C 80, 055203 (2009)
Aznauryan, I.G., et al.: Electroexcitation of nucleon resonances. Prog. Part. Nucl. Phys. 67, 1–54 (2012)
Dugger, M., et al.: \(\pi ^+\) photoproduction on the proton for photon energies from 0.725 to 2.875 GeV. Phys. Rev. C 79, 065206 (2009)
Suzuki, N., et al.: Disentangling the dynamical origin of \(P_{11}\) nucleon resonances. Phys. Rev. Lett. 104, 042302 (2010)
Eichmann, G., et al.: Perspective on rainbow-ladder truncation. Phys. Rev. C 77, 042202 (2008)
Eichmann, G., et al.: Toward unifying the description of meson and baryon properties. Phys. Rev. C 79, 012202 (2009)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Segovia, J. Elastic and Transition Form Factors in DSEs. Few-Body Syst 57, 461–466 (2016). https://doi.org/10.1007/s00601-016-1080-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00601-016-1080-6