A Bayesian analysis of the nucleon QCD sum rules - INSPIRE

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A Bayesian analysis of the nucleon QCD sum rules

Keisuke Ohtani
(
- Tokyo Inst. Tech.
)
,
Philipp Gubler
(
- Tokyo Inst. Tech.
)
,
Makoto Oka
(
- Tokyo Inst. Tech.
)

2011

16 pages

Published in:

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

DOI:

10.1140/epja/i2011-11114-4

View in:

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Abstract: (Springer)

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 fl exible 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 scal ar 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 i nformation to clearly separate the nucleon pole from the continuum.

nucleon: pole
quantum chromodynamics: sum rule
nucleon: spectral representation
nucleon: ground state
diquark: scalar
Bayesian

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