The Decuplet Revisited in $\chi$PT

Abstract

The paper deals with two issues. First, we explore the quantitiative importance of higher multiplets for properties of the $\Delta$ decuplet in chiral perturbation theory. In particular, it is found that the lowest order one--loop contributions from the Roper octet to the decuplet masses and magnetic moments are substantial. The relevance of these results to the chiral expansion in general is discussed. The exact values of the magnetic moments depend upon delicate cancellations involving ill--determined coupling constants. Second, we present new relations between the magnetic moments of the $\Delta$ decuplet that are independent of all couplings. They are exact at the order of the chiral expansion used in this paper.

7 pages of double column revtex, no figures

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• Electromagnetic form factors of the Delta with D-waves
• Baryon self energies in the chiral loop expansion
• Chiral Extrapolation of Hadronic Observables
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• Extrapolation of lattice QCD results beyond the power-counting regime
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• The Role of the Roper in Chiral Perturbation Theory
• The magnetic moments and electromagnetic form factors of the decuplet baryons in chiral perturbation theory
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• Dirac form factors and electric charge radii of baryons in the combined chiral and 1/N_c expansions
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• Recent Developments in Quark Nuclear Physics
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• Electromagnetic polarizabilities of the spin-$\frac{3}{2}$ baryons in heavy baryon chiral perturbation theory