A Bayesian analysis of the nucleon QCD sum rules

Abstract

QCD sum rules of the nucleon channel are reanalyzed, using the maximum entropy method (MEM). This new approach, based on the Bayesian probability theory, does not restrict the spectral function to the usual "pole + continuum"-form, allowing a more flexible investigation of the nucleon spectral function. Making use of this flexibility, we are able to investigate the spectral functions of various interpolating fields, finding that the nucleon ground state mainly couples to an operator containing a scalar diquark. Moreover, we formulate the Gaussian sum rule for the nucleon channel and find that it is more suitable for the MEM analysis to extract the nucleon pole in the region of its experimental value, while the Borel sum rule does not contain enough information to clearly separate the nucleon pole from the continuum.

15 pages, 13 figures, 8 tables; several typos corrected, minor modifications, published version

References in corpus (2)

• The Lorentz Integral Transform (LIT) method and its applications to perturbation induced reactions
• Charmonium spectra at finite temperature from QCD sum rules with the maximum entropy method

Cited by in corpus (9)

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• D meson mass increase by restoration of chiral symmetry in nuclear matter
• Thermal modification of bottomonium spectra from QCD sum rules with the maximum entropy method
• Parity projection of QCD sum rules for the nucleon
• Charmed Baryon ${\Lambda }_c$ in Nuclear Matter
• Negative-parity nucleon excited state in nuclear matter
• QCD sum rules on the complex Borel plane
• Single-particle spectral density of the unitary Fermi gas: Novel approach based on the operator product expansion, sum rules and the maximum entropy method
• Charmonium ground and excited states at finite temperature from complex Borel sum rules