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Complex Scaled Spectrum Completeness for Coupled Channels | | B.G. Giraud
; K. Kato
; A. Ohnishi
; | | Date: |
17 Mar 2005 | | Journal: | J.Phys. A37 (2004) 11575 | | Subject: | Nuclear Theory; Mathematical Physics | nucl-th math-ph 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. | | Source: | arXiv, nucl-th/0503049 | | Services: | Forum | Review | PDF | Favorites | |
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