Comment on the stabilization method: Variational calculation of the resonance width

Abstract

We clarify the computational procedure used in a stabilization calculation of the resonance energy. We propose a new, variational method for the calculation of the resonance width for elastic scattering. The method is based on a minimum principle for the width which holds for $L^2$ trial functions satisfying certain assumptions. The method gives all the resonance parameters, including the background phase shift, without requiring traditional scattering calculations.