English

Nucleon electromagnetic structure revisited

High Energy Physics - Phenomenology 2008-11-26 v1

Abstract

Unitary and analytic ten-resonance model of the nucleon electromagnetic (e.m.) structure with canonical normalizations and QCD (up to the logarithmic correction) asymptotics is constructed on the four-sheeted Riemann surface, which provides a superposition of vector-meson pole and continuum contributions in a very natural way. As a result it describes simultaneously all existing experimental space-like and time-like data on the proton e.m. form factors (ff's) and on the neutron e.m. ff's as well. A crucial factor in the latter achievement is the inclusion of a contribution of the fourth excited state of the ρ(770)\rho(770) meson with the parameters mρ=2455±53MeV,Γρ=728±2MeVm_{\rho''''}=2455\pm53 MeV, \Gamma_{\rho''''}=728\pm2 MeV and (fρNN(1)/fρ)=0.0549±0.0005(f^{(1)}_{\rho''''NN}/f_{\rho''''})=0.0549\pm0.0005, (fρNN(2)/fρ)=0.0103±0.0001(f^{(2)}_{\rho''''NN}/f_{\rho''''})=-0.0103\pm0.0001. The pronounced effect of the two-pion continuum on the isovector spectral functions demonstrating a strong enhancement of the left wing of the ρ(770)\rho(770)-resonance close to two-pion threshold, which was revealed by H\"ohler and Pietarinen by means of the nucleon ff unitarity condition more than a quarter of the century ago, is predicted by the model automatically. The model gives large values of the fϕNN(1,2)f^{(1,2)}_{\phi NN} coupling constants, thus indicating the violation of the OZI rule. Since in the framework of the considered model isoscalar ff's above their lowest branch point t0s=9mπ2t^s_0=9m^2_{\pi} are complex functions, the isoscalar spectral function behaviours are predicted as well.

Keywords

Cite

@article{arxiv.hep-ph/0208051,
  title  = {Nucleon electromagnetic structure revisited},
  author = {Stanislav Dubnicka and Anna-Zuzana Dubnickova and Peter Weisenpacher},
  journal= {arXiv preprint arXiv:hep-ph/0208051},
  year   = {2008}
}

Comments

Latex, 29 pages, 6 eps figures