Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-05-07
J.Phys.G37:035003,2010
Physics
High Energy Physics
High Energy Physics - Phenomenology
Introduction modified, comment on analytic properties of dual correlators added
Scientific paper
10.1088/0954-3899/37/3/035003
We study the extraction of the ground-state parameters from vacuum-to-vacuum correlators. We work in quantum-mechanical potential model which provides the only possibility to probe the reliability and the actual accuracy of this method: one obtains the bound-state parameters from the correlators by the standard procedures adopted in the method of sum rules and compares these results with the exact values calculated from the Schroedinger equation. We focus on the crucial ingredient of the method of sum rules - the effective continuum threshold - and propose a new algorithm to fix this quantity. In a quantum-mechanical model, our procedure leads to a remarkable improvement of the accuracy of the extracted ground-state parameters compared to the standard procedures adopted in the method and used in all previous applications of dispersive sum rules in QCD. The application of the proposed procedure in QCD promises a considerable increase of the accuracy of the extracted hadron parameters.
Lucha Wolfgang
Melikhov Dmitri
Simula Silvano
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