Magnetic Moments of Octet and Decuplet Baryons in the SU(3) Chiral Quark Soliton Model

Abstract

The magnetic moments of the octet and decuplet baryons are analyzed within the flavor SU(3) chiral quark soliton model, by putting emphasis upon the SU(3) symmetry breaking effects generated by the mass difference between the strange and nonstrange quarks. The predicted symmetry breaking patterns are shown to be quantitatively consistent with the experimental data for the octet baryons, and with the other theoretical analyses such as the chiral perturbation theory and/ or the quenched lattice simulation for the decuplet baryons.

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

“…Similar conclusions have been drawn in Ref. [13], where both octet and decuplet magnetic moments have been calculated in the model identical to ours. There are however small quantitative differences about which we would like to comment.…”

“…Although the results of Ref. [13] are in qualitative agreement with ours, there are some quantitative differences which we discuss in section IV.D of the present paper. Moreover, in contrast to the authors of Ref.…”

“…We also compare in section IV.D our results with those of Ref. [13]. In the last section, we summarize the present work and draw conclusions.…”

“…Only after this work had been completed we were aware of Ref. [13] where both octet and decuplet magnetic moments have been calculated in a model identical to the one discussed here. Although the results of Ref.…”

Instability of the hedgehog shape for the octet baryon in the chiral quark soliton model

“…By now, various effective models of QCD in the low energy region have employed the soliton picture of the baryon: the Skyrme model [4,5,6,7,8,9], the Nambu-Jona-Lasinio (NJL) model [10,11,12] and the chiral quark soliton model (CQSM) [13,14,15,16]. The static properties (mass, magnetic moment) [17,18,19] and the quark distribution functions [20,21,22] of the baryon have been studied by means of these models. Here, the baryon appears as a rotational band of the soliton [5].…”