Skip to main content
SpringerLink
Log in

Three-particle system for nonlocal interactions with continuum bound states

  • Published:
Zeitschrift für Physik A Atoms and Nuclei

Abstract

The energy spectrum of the model triton is studied for a series of rank-two separable twobody interactions, each of which has a fixed deuteron wave function and a continuum bound state fixed at high energy. In each case the three particle system collapses, having an unphysical deeply bound ground state. With increasing two body repulsion, the collapsed state becomes less bound. If the continuum bound state moves to higher energies, the collapsed state becomes more bound. Our results show that for non-local two-body interactions which support a continuum bound state, or a resonance pole sufficiently close to the real axis, the three particle system is not a low energy system.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Sofianos, S., McGurk, N.J., Fiedeldey, H.: Z. Physik A286, 87 (1978)

    Google Scholar 

  2. Beam, J.E.: Phys. Lett.30 B, 67 (1969)

    Google Scholar 

  3. Allessandrini, V.A., Carcia Canal, C.A.: Nucl. Phys. A133, 950 (1969)

    Google Scholar 

  4. Tabakin, F.: Phys. Rev.174, 1208 (1968)

    Google Scholar 

  5. Hall, R.L., Post, H.R.: Proc. Phys. Soc.90, 381 (1967)

    Google Scholar 

  6. Bagchi, B., Krause, T. O., Mulligan, B.: Phys. Rev. C15, 1623 (1977)

    Google Scholar 

  7. McGurk, N.J., de Groot, H.: Nucl. Phys. A231, 233 (1971)

    Google Scholar 

  8. Fiedeldey, H., Kok, L.P., unpublished

  9. deGroot, H., Ph.D. thesis, Vrije Universiteit of Amsterdam, unpublished

  10. McGurk, N.J., Ph.D. thesis, University of South Africa, unpublished

  11. Krause, T.O., Mulligan, B.: J. Math. Phys.15, 770 (1974)

    Google Scholar 

  12. Mulligan, B., Arnold, L.G., Bagchi, B., Krause, T.O.: Phys. Rev. C13, 2131 (1976)

    Google Scholar 

  13. Clement, D., Schmid, E.W., Teufel, A.G.: Phys. Lett.49 B, 308 (1974)

    Google Scholar 

  14. Böinghoff, A., Hüsken, H., Weiguny, A.: Phys. Lett.61 B, 9 (1976)

    Google Scholar 

Download references

Author information

Author notes

  1. H. Fiedeldey

    Present address: Physics Dept., UNISA, P.O. Box 392, Pretoria, RSA

Authors and Affiliations

  1. Physics Department, McMaster University Hamilton, Ontario, Canada

    G. Pantis, H. Fiedeldey & D. W. L. Sprung

Authors
  1. G. Pantis
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. H. Fiedeldey
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. D. W. L. Sprung
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

One of the authors (HF) would like to express his grattude to the Physics Department and in particular to Prof. D.W.L. Sprung for a visiting professorship at McMaster University during 1978–1979. He also acknowledges financial support from the Council of Scientific and Industrial Research of South Africa. We are grateful to Natural Sciences and Engineering Research Council of Canada for continued support under operating grant A-3198.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pantis, G., Fiedeldey, H. & Sprung, D.W.L. Three-particle system for nonlocal interactions with continuum bound states. Z Physik A 291, 367–375 (1979). https://doi.org/10.1007/BF01408387

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01408387

Keywords

Search

Navigation