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

Details Magnetic dipole moment of the $Δ(1232)$ in chiral perturbation theory Magnetic dipole moment of the $Δ(1232)$ in chiral perturbation theory

2006-03-31

arxiv.org/abs/hep-ph/0603267v1

Eur.Phys.J.A28:5-9,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, 2 figures, REVTeX 4

Scientific paper

10.1140/epja/i2006-10043-7

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.

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