ar X iv : h ep - p h / 96 12 20 4 v 1 2 9 N ov 1 99 6 Numerical analysis of renormalon technique in quantum mechanics

Numerical analysis of renormalon technique in quantum mechanics. Abstract We mimic infrared renormalons of QCD by resumming a Born series for s-wave scattering within an exactly solvable model of quantum mechanics. Numerical estimates show that traditional technique based on introduction of nonperturbative power corrections fails to determine the low-energy mass scale of the model analogous to a typical resonance mass in QCD. An alternative approach exploiting a modified running coupling constant of the model and nonperturbative continuation of evolution equations into an infrared region gives solid and accurate estimate of this scale.