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

Abstract

We reanalyse the magnetic moments of the baryon octet, decuplet, and antidecuplet within the framework of the chiral quark-soliton model, with SU(3) symmetry breaking taken into account. We consider the contributions of the mixing of higher representations to the magnetic moment operator arising from the SU (3)

Hyperon semileptonic decay constants with flavor SU(3) symmetry breaking

“…In a χSM, the collective operators for the HSD vector and axial-vector constants can be expressed in terms of the SU(3) Wigner D functions [20,36,37]:…”

“…In fact, the analyses of the magnetic moments in a similar scheme to the present one were carried out in Refs. [36][37][38]. However, it was then not possible to determine all relevant parameters uniquely, so that the results were shown as functions either of m s or of the πN sigma term.…”

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].…”

BRST Symmetry and de Rham Cohomology

“…The measurements of the baryon decuplet magnetic moments were reported for CC [223] and [224], to yield a new avenue for understanding hadron structure. The magnetic moments of baryon decuplet were theoretically investigated in several models such as quenched lattice gauge theory [225], quark models [226,227], chiral bag model [120], chiral perturbation theory [228], QCD sum rules [229,230], chiral quark model [231] and a chiral quark soliton model [232]. Moreover, by including effect of decuplet intermediate states of spin 3/2 baryons explicitly, heavy baryon chiral expansion of baryon octet magnetic moments [233] and charge radii [234] were investigated.…”