Magnetic moments and electromagnetic radii of nucleon and $\Delta (1232)$ in an extended GBE model

Abstract

We derive the exchange currents of pseudoscalar, vector, and scalar mesons from Feynman diagrams, and use them to calculate the magnetic form factors of nucleon and $\Delta (1232)$. The magnetic moments and electromagnetic radii are obtained by using those form factors and the parameters determined from the masses of nucleon and $\Delta (1232)$. We find the magnetic moments and electromagnetic radii of nucleon and $\Delta (1232)$ can be produced very well in the extended Goldstone-boson-exchange model (GBE) in which all of pseudoscalar, vector and scalar meson nonet are included. The magnetic moments of $\Delta (1232)$ are closer to experiment values and results from lattice calculation than the results obtained by the model without other mesons except for pion and sigma.

15 pages,5 figures

References in corpus (6)

• The reaction $\gamma p\to {\pi }^{\circ }{\gamma }^{\prime }p$ and the magnetic dipole moment of the ${\Delta }^{+}(1232)$ resonance
• N-N Interactions in the Extended Chiral SU(3) Quark Model
• Delta Baryon Magnetic Moments From Lattice QCD
• Octet and Decuplet Baryon Magnetic Moments in the Chiral Quark Model
• Negative Parity N* Resonances in an Extended GBE
• Test of OPE and OGE through mixing angles of negative parity N* resonances in electromagnetic transitions

Cited by in corpus (3)

• Electromagnetic form factors of the Delta with D-waves
• Magnetic Moments of Octet Baryons in Hot and Dense Nuclear Matter
• Magnetic dipole moment of the $\Delta (1232)$ in chiral perturbation theory