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

TL;DR

This paper calculates electromagnetic properties of the lowest-lying decuplet resonances using covariant chiral perturbation theory, incorporating SU(3)-breaking corrections and lattice QCD data, providing predictions consistent with experimental and other theoretical results.

Contribution

It introduces a covariant chiral perturbation theory approach to compute electromagnetic moments and charge radius of decuplet resonances, fixing low-energy constants with experimental and lattice QCD data.

Findings

Predicted magnetic dipole moments agree with experimental data.

Determined charge radius and electric quadrupole moments using lattice QCD inputs.

Provided pure predictions for magnetic octupole moments.

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.