Electromagnetic Properties of the Baryon Decuplet in Quenched and Partially Quenched Chiral Perturbation Theory

Abstract

We calculate electromagnetic properties of the decuplet baryons in quenched and partially quenched chiral perturbation theory. We work at next-to-leading order in the chiral expansion, leading order in the heavy baryon expansion, and obtain expressions for the magnetic moments, charge radii, and electric quadrupole moments. The quenched calculation is shown to be pathological since only quenched chiral singularities are present at this order. We present the partially quenched results for both the SU(2) and SU(3) flavor groups and use the isospin limit in the latter. These results are necessary for proper extrapolation of lattice calculations of decuplet electromagnetic properties.

17 pages, 3 eps figures, RevTex4

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• D-state effects in the electromagnetic N-Delta transition
• Twist-two matrix elements at finite and infinite volume
• Decuplet Baryon Masses in Partially Quenched Chiral Perturbation Theory
• Octet Baryon Masses in Partially Quenched Chiral Perturbation Theory
• Electric quadrupole and magnetic octupole moments of the Delta
• Delta and Omega electromagnetic form factors in a Dyson-Schwinger/Bethe-Salpeter approach
• Electromagnetic form factors of the Delta with D-waves
• N to Delta electromagnetic transition form factors from Lattice QCD
• Universality of Mixed Action Extrapolation Formulae
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• Magnetic dipole moment of the $\Delta (1232)$ in chiral perturbation theory
• Electromagnetic form factors of the ${\Omega }^{-}$ baryon in the spacelike and timelike regions
• Connected Parts of Decuplet Electromagnetic Properties
• Hyperon Electromagnetic Properties in Two-Flavor Chiral Perturbation Theory
• Hadronic Electromagnetic Properties at Finite Lattice Spacing
• Dirac form factors and electric charge radii of baryons in the combined chiral and 1/N_c expansions
• Chiral Lagrangians with decuplet baryons to one loop
• Topics in Effective Field Theory for Lattice QCD
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