caa a22 4500 445872063 CHVBK 20180317145515.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1140/epja/i2011-11114-4 doi (NATIONALLICENCE)springer-10.1140/epja/i2011-11114-4 A Bayesian analysis of the nucleon QCD sum rules [Elektronische Daten] [Keisuke Ohtani, Philipp Gubler, Makoto Oka] 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. SIF, Springer-Verlag Berlin Heidelberg, 2011 Ohtani Keisuke Department of Physics, H-27, Tokyo Institute of Technology, 152-8551, Meguro, Tokyo, Japan aut Gubler Philipp Department of Physics, H-27, Tokyo Institute of Technology, 152-8551, Meguro, Tokyo, Japan aut Oka Makoto Department of Physics, H-27, Tokyo Institute of Technology, 152-8551, Meguro, Tokyo, Japan aut The European Physical Journal A Springer-Verlag 47/9(2011-09-01), 1-16 1434-6001 47:9<1 2011 47 10050 https://doi.org/10.1140/epja/i2011-11114-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1140/epja/i2011-11114-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ohtani Keisuke Department of Physics, H-27, Tokyo Institute of Technology, 152-8551, Meguro, Tokyo, Japan aut NATIONALLICENCE 700 1- Gubler Philipp Department of Physics, H-27, Tokyo Institute of Technology, 152-8551, Meguro, Tokyo, Japan aut NATIONALLICENCE 700 1- Oka Makoto Department of Physics, H-27, Tokyo Institute of Technology, 152-8551, Meguro, Tokyo, Japan aut NATIONALLICENCE 773 0- The European Physical Journal A Springer-Verlag 47/9(2011-09-01), 1-16 1434-6001 47:9<1 2011 47 10050 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer