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Comparison of the saddle-point method and the Feshbach-type projection method.

In this work, we compare the saddle-point method with the Feshbach-type projection-operator method using experimental and theoretical data in the literature. It appears that the saddle-point energy gives a better approximation to the resonance energy. This result is explained in terms of the variational principle of quantum mechanics. It is also pointed out that the existing Feshbach-type projection method is not suitable for general triply excited states such as (2snln'l') where n,n'\ensuremath{\ge}3.