Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-02-24
Phys.Rev.D79:096011,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
4 pages, 2 figures; modified abstract and introduction
Scientific paper
10.1103/PhysRevD.79.096011
We study the accuracy of the bound-state parameters obtained with the method of dispersive sum rules, one of the most popular theoretical approaches in nonperturbative QCD and hadron physics. We make use of a quantum-mechanical potential model since it provides the only possibility to probe the reliability and the accuracy of this method: one obtains the bound-state parameters from sum rules and compares these results with the exact values calculated from the Schr\"odinger equation. We investigate various possibilities to fix the crucial ingredient of the method of sum rules -- the effective continuum threshold -- and propose modifications which lead to a remarkable improvement of the accuracy of the extracted ground-state parameters compared to the standard procedures adopted in the method. Although the rigorous control of systematic uncertainties in the method of sum rules remains unfeasible, the application of the proposed procedures in QCD promises a considerable increase of the actual accuracy of the extracted hadron parameters.
Lucha Wolfgang
Melikhov Dmitri
Simula Silvano
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