Complex Scaled Spectrum Completeness for Coupled Channels

Details Complex Scaled Spectrum Completeness for Coupled Channels Complex Scaled Spectrum Completeness for Coupled Channels

2005-03-17

arxiv.org/abs/nucl-th/0503049v1

J.Phys.A37:11575,2004

Physics

Nuclear Physics

Nuclear Theory

Latex file, 13 pages, 4 eps-figures

Scientific paper

10.1088/0305-4470/37/48/004

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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