Abstract
We analyze the use of L2 discretization methods to calculate, in the framework of the Feshbach theory, partial and total widths of resonances lying in multichannel continua. When interchannel coupling is strong, partial widths cannot be obtained without solving the scattering equations and for this purpose a fully L2 method is proposed, starting from the static exchange approximation as a zeroth order result. For weak interchannel coupling, we study the validity of Born-type approximations and we justify why neglecting this coupling may be appropriate to evaluate total widths even for cases where it is totally inadequate for the corresponding partial ones. The methods proposed are illustrated for moderately strong (He) and weak (O6+) coupling in atomic resonances.
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