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We study the extraction of the ground-state parameters from vacuum-to-vacuumcorrelators. We work in quantum-mechanical potential model which provides theonly possibility to probe the reliability and the actual accuracy of thismethod: one obtains the bound-state parameters from the correlators by thestandard procedures adopted in the method of sum rules and compares theseresults with the exact values calculated from the Schroedinger equation. Wefocus on the crucial ingredient of the method of sum rules - the effectivecontinuum threshold - and propose a new algorithm to fix this quantity. In aquantum-mechanical model, our procedure leads to a remarkable improvement ofthe accuracy of the extracted ground-state parameters compared to the standardprocedures adopted in the method and used in all previous applications ofdispersive sum rules in QCD. The application of the proposed procedure in QCDpromises a considerable increase of the accuracy of the extracted hadronparameters.

Bound-state parameters from dispersive sum rules for vacuum-to-vacuum correlators