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Complex Scaled Spectrum Completeness for Coupled Channels

B. G. Giraud·K. Kato·A. Ohnishi
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Abstract

The Complex Scaling Method (CSM) provides scattering wave functions which regularize resonances and suggest a resolution of the identity in terms of such resonances, completed by the bound states and a smoothed continuum. But, in the case of inelastic scattering with many channels, the existence of such a resolution under complex scaling is still debated. Taking advantage of results obtained earlier for the two channel case, this paper proposes a representation in which the convergence of a resolution of the identity can be more easily tested. The representation is valid for any finite number of coupled channels for inelastic scattering without rearrangement.

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B. G. Giraud, K. Kato, A. Ohnishi. 2005-03-17. Complex Scaled Spectrum Completeness for Coupled Channels. https://doi.org/10.1088/0305-4470%2F37%2F48%2F004

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