Complex Scaled Spectrum Completeness for Coupled Channels
Nuclear Theory
2008-11-26 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.nucl-th/0503049,
title = {Complex Scaled Spectrum Completeness for Coupled Channels},
author = {B. G. Giraud and K. Kato and A. Ohnishi},
journal= {arXiv preprint arXiv:nucl-th/0503049},
year = {2008}
}
Comments
Latex file, 13 pages, 4 eps-figures