Magnetic dipole moment of the $\Delta (1232)$ in chiral perturbation theory

Abstract

The magnetic dipole moment of the $\Delta (1232)$ is calculated in the framework of manifestly Lorentz-invariant baryon chiral perturbation theory in combination with the extended on-mass-shell renormalization scheme. As in the case of the nucleon, at leading order both isoscalar and isovector anomalous magnetic moments are given in terms of two low-energy constants. In contrast to the nucleon case, at next-to-leading order the isoscalar anomalous magnetic moment receives a (real) loop contribution. Moreover, due to the unstable nature of the $\Delta (1232)$, at next-to-leading order the isovector anomalous magnetic moment not only receives a real but also an imaginary loop contribution.

9 pages, 2 figures, REVTeX 4

References in corpus (1)

• Consistency of the $\pi \Delta$ interaction in chiral perturbation theory

Cited by in corpus (7)

• Electromagnetic excitation of the Delta(1232)-resonance
• Electromagnetic structure of the lowest-lying decuplet resonances in covariant chiral perturbation theory
• Chiral effective-field theory in the Delta(1232) region: II. radiative pion photoproduction
• Electromagnetic properties of the Delta(1232) and decuplet baryons in the self-consistent SU(3) chiral quark-soliton model
• Magnetic Dipole, Electric Quadrupole and Magnetic Octupole Moments of the $\Delta$ Baryons in Light Cone QCD Sum Rules
• The Delta(1232) Resonance in Chiral Effective Field Theory
• Electromagnetic polarizabilities of the spin-$\frac{3}{2}$ baryons in heavy baryon chiral perturbation theory