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.

arXiv comment9 pages, 2 figures, REVTeX 4

References in corpus (29)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Renormalization of relativistic baryon chiral perturbation theory and power counting
• Decuplet Baryon Structure from Lattice QCD
• Electromagnetic Properties of the Delta(1232)
• The reaction $\gamma p\to {\pi }^{\circ }{\gamma }^{\prime }p$ and the magnetic dipole moment of the ${\Delta }^{+}(1232)$ resonance
• Including the $\Delta (1232)$ resonance in baryon chiral perturbation theory
• Magnetic Moments of the Baryon Decuplet in a Relativistic Quark Model
• Baryon magnetic moments in the background field method
• Magnetic moment of the Delta(1232)-resonance in chiral effective field theory
• Electromagnetic Moments of the Baryon Decuplet
• Electromagnetic form factors of the nucleon in relativistic baryon chiral perturbation theory
• Determination of Decuplet Baryon Magnetic Moments from QCD Sum Rules
• Delta Baryon Magnetic Moments From Lattice QCD
• Decuplet Baryon Magnetic Moments in the Chiral Quark Model
• Magnetic moments of the SU(3) decuplet baryons in the chiral quark-soliton model
• The Decuplet Revisited in $\chi$PT
• Determination of the Delta++ magnetic dipole moment
• Magnetic dipole moment of the ${\Delta }^{+}$(1232) from the $\gamma p\to \gamma {\pi }^{0}p$ reaction
• Elastic and radiative pi^+p scattering and properties of the Delta^{++} resonance
• Covariant baryon charge radii and magnetic moments in a chiral constituent quark model
• Electromagnetic Properties of the Baryon Decuplet in Quenched and Partially Quenched Chiral Perturbation Theory
• Consistency of the $\pi \Delta$ interaction in chiral perturbation theory
• Complete Analysis of Baryon Magnetic Moments in 1/N_c
• Inelastic photon scattering and the magnetic moment of the $\Delta$ (1232) resonance
• Magnetic Moments of Delta Baryons in Light Cone QCD Sum Rules
• Octet, decuplet and antidecuplet magnetic moments in the chiral quark soliton model revisited
• Unitary model for the $\gamma p\to \gamma {\pi }^{0}p$ reaction and the magnetic dipole moment of the ${\Delta }^{+}(1232)$
• Magnetic moments of the 3/2 resonances and their quark spin structure
• Magnetic moments and electromagnetic radii of nucleon and $\Delta (1232)$ in an extended GBE model

Cited by in corpus (10)

• Electromagnetic excitation of the Delta(1232)-resonance
• Hadron structure from lattice quantum chromodynamics
• 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 magnetic moments and electromagnetic form factors of the decuplet baryons in chiral perturbation theory
• The Delta(1232) Resonance in Chiral Effective Field Theory
• Dirac form factors and electric charge radii of baryons in the combined chiral and 1/N_c expansions
• Electromagnetic polarizabilities of the spin-$\frac{3}{2}$ baryons in heavy baryon chiral perturbation theory