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Direct Instantons and Nucleon Magnetic Moments
High Energy Physics - Phenomenology · Submitted 24 Feb 1999
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The new sum rules show good stability and reproduce the experimental values of the nucleon magnetic moments with values of $\chi$, the quark condensate magnetic susceptibility, consistent with other estimates.
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The abstract, sentence by sentence
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 $\chi$, the quark condensate magnetic susceptibility, consistent with other estimates.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | 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. | contribution 0.97 | 0.95 | 0.11 | asserted 0.99 |
| s1 | Remarkably, the instanton contributions are found to affect only those sum rules which had previously been considered unstable. | result 0.97 | 0.94 | 0.27 | asserted 1.00 |
| s2 | The new sum rules show good stability and reproduce the experimental values of the nucleon magnetic moments with values of $\chi$, the quark condensate magnetic susceptibility, consistent with other estimates. | result 1.00 | 0.90 | 0.67 | asserted 0.99 |
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Original 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 $\chi$, the quark condensate magnetic susceptibility, consistent with other estimates.
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The new sum rules show a high degree of stability and reproduce the experimental values of the nucleon magnetic moments for values of the magnetic quark condensate susceptibility which are consistent with other estimates.
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