Spurious resonances in a version of the algebraic Resonating-Group Method |
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Authors: | A Csótó B Gyarmati A T Kruppa |
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Institution: | (1) Institute of Nuclear Research, P.O. Box 51, H-4001 Debrecen, Hungary;(2) SERC Daresbury Laboratory, WA4 4AD Warrington, UK |
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Abstract: | It is shown that the conditions claimed to transform the algebraic version of the Resonating-Group Model, originally invented for scattering problems, into a complex eigenvalue problem corresponding to resonant states are necessary but not sufficient. This can be concluded from the fact that false resonances are produced along with true ones. They can be distinguished and discarded by introducing an arbitrary non-linear parameter. The true solutions are invariant against this parameter but the false ones can be swept out even into non-physical regions of the energy.Devoted to Prof. E.W.Schmid on the occasion of his 60th birthday |
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