Abstract
The relation between resonances andK-matrix poles for the potential scattering problem is investigated. The analysis is carried out in two stages. We first discuss the analytic properties of aK-matrix related to a model phase-shift which embodies the relevant features of a potential scattering resonance; we then consider the specific case of a square-well potential. The result emerging from the analysis is that to each resonance two poles of theK-matrix are associated; they appear either as a real resonance-echo pair or as a complex conjugate doublet, according to the value of a suitable background parameter. The relevance of this result in connection with the Huby theory is briefly discussed.
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The authors are pleased to thank Prof. C. Villi for stimulating discussion during the preparation of the present work.
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Vitturi, A., Zardi, F. On the relation between resonances andK-matrix poles. Z. Physik 269, 333–338 (1974). https://doi.org/10.1007/BF01668604
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DOI: https://doi.org/10.1007/BF01668604