Abstract
A new method is proposed for calculating the widths of atomic and molecular resonances. The method uses only square-integrable functions to approximate the nonresonant scattering solutions and employs Stieltjes-moment-theory techniques to extract a continuous approximation for Gamma (E) from a discrete representation of the background continuum. The method has been applied to several well known resonances in He, He- and Mg- with encouraging results. The proposed method is easily applied to molecular problems.