Nucleon Transition Form Factors Research Articles

Progress in the Calculation of Nucleon Transition form Factors

We give a brief account of the Dyson-Schwinger and Faddeev-equation approach and its application to nucleon resonances and their transition form factors. We compare the three-body with the quark-diquark approach and present a quark-diquark calculation for the low-lying nucleon resonances including scalar, axialvector, pseudoscalar and vector diquarks. We also discuss the timelike structure of transition form factors and highlight the advantages of form factors over helicity amplitudes.

Quasielastic hyperon production in -nucleus interactions

We have studied quasielastic charged current hyperon production induced by from a free nucleon and the nucleons bound inside the nucleus. The calculations are performed for several nuclear targets, for example 12C, 40Ar, 56Fe and 208Pb, which are currently being used in various oscillation experiments using accelerator neutrinos. The inputs are the hyperon–nucleon transition form factors determined from neutrino–nucleon scattering as well as from semileptonic decays of neutron and hyperons, using SU(3) symmetry. The calculations for the nuclear targets are done using the local density approximation. The nuclear medium effects due to the Fermi motion and Pauli blocking, and the final state interaction effects due to hyperon–nucleon scattering have been taken into account.

Nucleon transition form factors at JLab: status and outlook

The measurements of exclusive single-meson and double-pion electro-production cross sections off the proton to study nucleon resonances will be extended to higher momentum transfers with the CLAS12 detector and the energy upgraded CEBAF beam. Based on new theoretical developments to extract and interpret the electromagnetic transition form factors and on the experience gained from the most recent results, the newly formed collaboration of experimentalists and theorists shall enable us to provide unprecedented high-precision data, high-quality analyses, and state-of-the-art model and QCD based calculations in a Q domain up to 10 GeV2. For the first time nucleon resonance structures will be studied at still unexplored distance scales, where the dressed quark contributions are the dominating degrees of freedom and their strong interaction is responsible for the ground and excited nucleon state formation. These studies also open up a promising opportunity to understand the origin of more than 98% of the nucleon mass that is created by strong fields predominantly at these distance scales by dressing the current quarks.

Nucleon Transition Form Factors and New Perspectives

The status of the electro-excitation program to study baryon resonances at Jefferson Lab will be exemplified by the most recent results on resonance parameters and transition form factors in single and double-pion production. These results demonstrate that the separation of resonance and background contributions and therefore the extraction of the electro-coupling amplitudes of resonances become easier and cleaner at higher four-momentum transfers (Q2). Furthermore, the double-pion in comparison to the single-pion channel shows a higher sensitivity to higher excited resonances and a distinctly different Q2 dependence of the background amplitudes. The combined analysis of the single- and double-pion data reduces model dependent uncertainties significantly, which allows us to extract the resonant electrocoupling amplitudes with an unprecedented quality.

Quark-hadron duality in neutrino scattering

We present a phenomenological model of the quark-hadron transition in neutrino-nucleon scattering. Using recently extracted weak nucleon transition form factors, we investigate the extent to which local and global quark-hadron duality is applicable in the neutrino ${F}_{1},{F}_{2}$, and ${F}_{3}$ structure functions and contrast this with duality in electron scattering. Our findings suggest that duality works relatively well for neutrino-nucleon scattering for the ${F}_{2}$ and ${F}_{3}$ structure functions but not as well for ${F}_{1}$. We also calculate the quasielastic, resonance, and deep inelastic contributions to the Adler sum rule and find it to be satisfied to within 10% for $0.5\ensuremath{\lesssim}{Q}^{2}\ensuremath{\lesssim}2\phantom{\rule{0.3em}{0ex}}{\mathrm{GeV}}^{2}$.