Electromagnetic structure of the lowest-lying decuplet resonances in covariant chiral perturbation theory

Abstract

We present a calculation of the leading SU(3)-breaking $\mathcal{O}(p^3)$-corrections to the electromagnetic moments and charge radius (CR) of the lowest-lying decuplet resonances in covariant chiral perturbation theory. In particular, the magnetic dipole moment (MDM) of the members of the decuplet is predicted fixing the only low-energy constant (LEC) present up to this order with the well measured MDM of the ${\Omega }^{-}$. We predict ${\mu }_{\Delta }^{++}=6.04(13)$ and ${\mu }_{\Delta }^{+}=2.84(2)$ which agree well with the current experimental information. For the electric quadrupole moment (EQM) and the CR we use state-of-the-art lattice QCD results to determine the corresponding LECs, whereas for the magnetic octupole moment (MOM) there is no unknown LEC up to the order considered here and we obtain a pure prediction. We compare our results with those reported in large $N_c$, lattice QCD, heavy-baryon chiral perturbation theory and other models.

10 pages, 1 fig

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• Extracting the Omega- electric quadrupole moment from lattice QCD data
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• Octet Baryons in Large Magnetic Fields
• Electromagnetic form factors of the ${\Omega }^{-}$ baryon in the spacelike and timelike regions
• Systematic study of octet-baryon electromagnetic form factors in covariant chiral perturbation theory
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• Nucleon form factors and parton distributions in nonlocal chiral effective theory
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