A Bayesian analysis of the nucleon QCD sum rules

Details A Bayesian analysis of the nucleon QCD sum rules A Bayesian analysis of the nucleon QCD sum rules

2011-04-29

arxiv.org/abs/1104.5577v2

Eur. Phys. J. A 47, 114 (2011)

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1140/epja/i2011-11114-4

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.

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