Abstract
The position of the two-particle resonance poles is shown to be the dominant factor in a number of interesting phenomena appearing in the energy spectra of bound three- and four-particle systems with separable two-particle interactions. The validity of the bound-state pole dominance assumption in few-particle systems is shown to depend on the location of the two-particle resonance poles. These results generalize the ground state collapse obtained earlier for the Tabakin rank-one separable interactions in the triton. However, our results also indicate that the collapse does not necessarily occur for more general nonlocal interactions.
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The authors wish to thank Professor J.P.F. Sellschopp for permission to use the facilities of the Nuclear Research Unit of the University of the Witwatersrand and the Council for Scientific and Industrial Research, Pretoria, for continued financial support.
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Sofianos, S., McGurk, N.J. & Fiedeldey, H. Two-particle resonance poles and the energy spectra of three- and four-particle systems. Z Physik A 286, 87–97 (1978). https://doi.org/10.1007/BF01434617
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DOI: https://doi.org/10.1007/BF01434617