Direct Instantons and Nucleon Magnetic Moments
M. Aw, M.K. Banerjee, H. Forkel
TL;DR
This paper calculates instanton effects on nucleon magnetic moments using improved QCD sum rules, achieving stable results that align with experimental data and previous estimates of quark condensate magnetic susceptibility.
Contribution
It introduces a refined method to incorporate instanton effects into QCD sum rules, improving stability and accuracy in predicting nucleon magnetic moments.
Findings
Instanton contributions influence only previously unstable sum rules.
New sum rules demonstrate good stability and match experimental magnetic moments.
Results support existing estimates of quark condensate magnetic susceptibility.
Abstract
We calculate the leading direct-instanton contributions to the operator product expansion of the nucleon correlator in a magnetic background field and set up improved QCD sum rules for the nucleon magnetic moments. Remarkably, the instanton contributions are found to affect only those sum rules which had previously been considered unstable. The new sum rules show good stability and reproduce the experimental values of the nucleon magnetic moments with values of , the quark condensate magnetic susceptibility, consistent with other estimates.
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