Quantum defect theory with deeply closed channels

Abstract
We address the validity and practicality of using multi-channel quantum defect theory (MQDT) to treat electron-ion collision problems for cases where some channel solutions propagate with extremely negative, classically forbidden, energies. We discuss theoretically and demonstrate numerically, within an unrealistically sensitive model-problem study, how MQDT results can be obtained which are in agreement with those obtained from the more standard non-MQDT method at all energies.

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