Magnetic moments of the SU(3) decuplet baryons in the chiral quark-soliton model

Abstract

Magnetic moments of baryons are studied within the chiral quark soliton model with special emphasis on the decuplet of baryons. The model is used to identify all symmetry breaking terms proportional to m s . Sum rules for the magnetic moments are derived. A "model-independent" analysis of the symmetry breaking terms is performed and finally model calculations are presented, which show the importance of the rotational 1/N c corrections for cranking of the soliton.

Octet, decuplet, and antidecuplet magnetic moments in the chiral quark soliton model reexamined

“…The collective operator for the magnetic moments can be parameterized by six constants By definition in the model-independent approach they are treated as free [16,17]: The full expression for the magnetic moments can be decomposed as follows:…”

“…Recently, two of the present authors calculated the magnetic moments of the exotic pentaquarks in a model-independent approach, within the framework of the chiral quark-soliton model [15] in the chiral limit. Since we were not able to fix all the parameters for the magnetic moments in the chiral limit, we had to rely on the explicit model calculations [16,17].…”

Magnetic moments of exotic pentaquarks in the chiral quark–soliton model

“…However, while it is crucial to know the magnetic moment of Θ + in order to study its production via photo-reactions, it is yet to be determined. The magnetic moments of the baryon octet and decuplet have been successfully described within the chiral quark-soliton model (χQSM) [26,27] in a "model-independent" approach. The "model-independent" analysis has an advantage over dynamical model calculations, since it only makes use of the underlying symmetries, with the experimental data of the octet magnetic moments used as an input.…”

“…[26], there are different ways to fix the parameters v and w by using the experimental data of the octet magnetic moments. Here, we simply fit the proton and neutron magnetic moments (fit I):…”

Magnetic dipole moment of the Δ(1232) in chiral perturbation theory

“…[12,13,14,15,16] for additional theoretical approaches to γp → pπ 0 γ ′ ). On the theoretical side, predictions for the delta magnetic moment have been obtained in various approaches such as SU(6) symmetry [9], several quark models [17,18,19,20,21,22,23,24,25,26,27,28], the Skyrme model [29], the 1/N c expansion [30], lattice QCD [31,32,33], QCD sum rules [34,35], heavy-baryon chiral perturbation theory (HBChPT) [32,36,37], quenched ChPT [38], and chiral effective field theory [16]. The aim of this letter is to calculate the magnetic moment of the ∆(1232) up to and including chiral order p 3 in a manifestly Lorentz-invariant formulation of baryon chiral perturbation theory with explicit ∆ degrees of freedom (∆ChPT) [39].…”