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Spurious resonances in a version of the algebraic Resonating-Group Method

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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.

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References

  1. Wildermuth, K., McClure, W.: Cluster Representation of Nuclei. Berlin-Heidelberg-New York: Springer 1964; Wildermuth, K., Tang, Y. C.: A Unified Theory of the Nucleus. In: Clustering Phenomena in Nuclei, Vol. 1 (Wildermuth, K., Kramer, P., eds.). Braunschweig: Vieweg 1977

    Google Scholar 

  2. Hoffmann, H. M.: Resonating Group Calculations in Nuclear Few-Body System. In: Few-Body Systems in Physics, Vol. 1 (Zeitnitz, B. ed.). Amsterdam: North-Holland 1984

    Google Scholar 

  3. Filippov, G. F.: Riv. Nuovo Cim.12, 1 (1989).

    Google Scholar 

  4. Okhrimenko, I. P.: Nucl. Phys.A424, 121 (1984)

    Google Scholar 

  5. Okhrimenko, I. P.: Few-Body System2, 169 (1987)

    Google Scholar 

  6. Kruppa, A. T., Lovas, R. G., Gyarmati, B., Phys. Rev.C37, 383 (1988)

    Google Scholar 

  7. Fiebig, H. R., Weiguny, A., Z. Phys.A279, 275 (1976)

    Google Scholar 

  8. Yamani, H. A., Fishman, L. J. Math. Phys.16, 410 (1975)

    Google Scholar 

  9. Nechaev, Yu. I., Smirnov, Yu. F.: Yad. Fiz.35, 1385 (1982) [Sov. J. Nucl. Phys.35, 808 (1982)]

    Google Scholar 

  10. Kruppa, A. T., Papp, Z.: Comput. Phys. Comm.36, 59 (1985)

    Google Scholar 

  11. Schmid, E. W., Schwager, J.: Nucl. Phys.A180, 434 (1972); Ladányi, K.: Nuovo Cim.61A, 173 (1969); Lad'anyi, K., Szondy, T.: Nuovo Cim.5B, 70 (1971); Schmid, E. W.: Nuovo Cim.18A, 771 (1973).

    Google Scholar 

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Authors and Affiliations

  1. Institute of Nuclear Research, P.O. Box 51, H-4001, Debrecen, Hungary

    A. Csótó, B. Gyarmati & A. T. Kruppa

  2. SERC Daresbury Laboratory, WA4 4AD, Warrington, UK

    A. T. Kruppa

Authors
  1. A. Csótó
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  2. B. Gyarmati
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  3. A. T. Kruppa
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Devoted to Prof. E.W.Schmid on the occasion of his 60th birthday

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Csótó, A., Gyarmati, B. & Kruppa, A.T. Spurious resonances in a version of the algebraic Resonating-Group Method. Few-Body Systems 11, 149–154 (1992). https://doi.org/10.1007/BF01641819

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  • DOI: https://doi.org/10.1007/BF01641819

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