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arXiv · 0907.0631

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

L. S. Geng·J. Martin Camalich·M. J. Vicente Vacas
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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 $Ω^-$. We predict $μ_Δ^{++}=6.04(13)$ and $μ_Δ^+=2.84(2)$ 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.

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L. S. Geng, J. Martin Camalich, M. J. Vicente Vacas. 2009-07-03. Electromagnetic structure of the lowest-lying decuplet resonances in covariant chiral perturbation theory. https://doi.org/10.1103/physrevd.80.034027

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