Two new sum rules for octet-baryon magnetic moments (μ) and constraints on QCD sum rules from new experimental determination of μ-s for the decuplet

Abstract

Recently the μ_{Δ^{++}} was found from a fit to (π^+)p scattering. This enable us to pinpoint condensate parameters more precisely in the context of QCD sum rules (QCDSR). In the octet sector, the Coleman-Glashow sum rule (CGSR) is violated by the experimental μ-s. QCDSR allows us to write down two sum rules similar to the CGSR, which are obeyed by the experimental magnetic moments, whereas they rule out a specific model using the Wilson loop approach and a particular chiral quark model. It is amusing to note that the QCDSR allows us to write down the quark and gluon condensates in terms of measurables like the μ-s of the nucleons and the Σ^{+/-}.

References in corpus (1)

• Complete Analysis of Baryon Magnetic Moments in 1/N_c

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• N to $\Delta$ transition amplitudes from QCD sum rules
• The magnetic moment of $Z_c(3900)$ as an axial-vector molecular state
• Transition magnetic moment of $\Lambda$ $\to$ ${\Sigma }^0$ in QCD sum rules
• Mean field baryon magnetic moments and sumrules