Electromagnetic N-$\Delta$ transition form factors in a covariant quark-diquark model

Abstract

The electromagnetic N-$\Delta$ transition form factors are calculated in the framework of a formally covariant constituent diquark model. As a spin-3/2 particle the $\Delta$ is assumed to be a bound state of a quark and an axial-vector diquark. The wave function is obtained from a diquark-quark Salpeter equation with an instantaneous quark exchange potential. The three transition form factors are calculated for momentum transfers squared from the pseudothreshold $(M_{\Delta }-M_N{)}^2$ up to $-2(GeV/c{)}^2$. The magnetic form factor is in qualitative agreement with experiment. We find very interesting results for the ratios E2/M1 and C2/M1.

16 pp, RevTeX, 7 figs, uses epsf

References in corpus (5)

• Dispersion-Theoretical Analysis of the Nucleon Electromagnetic Formfactors
• The position and the residues of the delta resonance pole in pion photoproduction
• Unitary ambiguity in the extraction of the E2/M1 ratio for the $\gamma N\leftrightarrow \Delta$ transition
• A covariant diquark-quark model of the nucleon in the Salpeter approach
• Electromagnetic form factors of the nucleon in a covariant diquark model

Cited by in corpus (6)

• Pion cloud and the $Q^2-$dependence of ${\gamma }^{\ast }N\leftrightarrow \Delta$ transition form factors
• Octet and Decuplet Baryons in a Covariant and Confining Diquark-Quark Model
• D-state effects in the electromagnetic N-Delta transition
• Parton distribution amplitudes: revealing diquarks in the proton and Roper resonance
• FCNC transitions of ${\Lambda }_b$ to neutron in Bethe-Salpeter equation approach
• Mass spectra, wave functions and mixing effects of the $(bcq)$ baryon