Skip to main content
SpringerLink
Log in

Single-particle properties in an exactly solvableA-body system

  • Short Note
  • Published:
Zeitschrift für Physik A Hadrons and Nuclei

Abstract

A recent theorem states that for quantum manybody systems with short-range interactions the following property holds: the single-particle overlap functions, spectroscopic factors and separation energies of bound eigenstates of the (A−1)-particle system are fully determined by the one-body density matrix of theA-particle system in its ground state. We confirm this property, by explicit construction, for the case of a schematic, exactly solvable 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

References

  1. J.M. Bang, F.G. Gareev, W.T. Pinkston and J.S. Vaagen, Phys. Rep.125 (1985) 253

    Article  ADS  Google Scholar 

  2. G.R. Satchler, Direct Nuclear Reactions, Oxford U.P., Oxford 1983

    Google Scholar 

  3. A.E.L. Dieperink and P.K.A. de Witt Huberts, Annu. Rev. Nucl. Part. Sci.40 (1990) 239

    ADS  Google Scholar 

  4. D. Van Neck, M. Waroquier and K. Heyde, Phys. Lett.B 314 (1993) 255

    ADS  Google Scholar 

  5. J.B. McGuire, J. Math. Phys.5 (1964) 622

    Article  MATH  ADS  MathSciNet  Google Scholar 

  6. F. Calogero and A. Degasperis, Phys. Rev.A 11 (1975) 265

    ADS  MathSciNet  Google Scholar 

  7. R.D. Amado, Phys. Rev.C 14 (1976) 1264; R.D. Amado and R.M. Woloshyn, Phys. Lett.B 62 (1976) 253; R.D. Amado and R.M. Woloshyn, Phys. Rev.C 15 (1977) 2200

    ADS  Google Scholar 

  8. A.N. Antonov, P.E. Hodgson and I.Zh. Petkov, Nucleon momentum and density distributions in nuclei, Clarendon Press, Oxford (1988); Nucleon correlations in nuclei, Springer, Berlin (1993).

    Google Scholar 

  9. D. Van Neck, A.E.L. Dieperink and M. Waroquier, Phys. Rev.C (1996), to be published

  10. I. Bobeldijk et al., Phys. Rev. Lett.73 (1994) 2684

    Article  ADS  Google Scholar 

  11. K.I. Blomqvist et al., Phys. Lett.B 344 (1995) 85

    ADS  Google Scholar 

  12. H. Müther and W.H. Dickhoff, Phys. Rev.C 49 (1994) R17; A. Polls, H. Müther and W.H. Dickhoff, Nucl. Phys.A594 (1995) 117

  13. D. Van Neck, A.E.L. Dieperink and E. Moya de Guerra, Phys. Rev.C 51 (1995) 1800

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Kernfysisch Versneller Instituut, Zernikelaan 25, 9747 AA, Groningen, The Netherlands

    D. Van Neck & A. E. L. Dieperink

  2. Laboratory for Theoretical Physics, Proeftuinstraat 86, B-9000, Gent, Belgium

    D. Van Neck & M. Waroquier

Authors
  1. D. Van Neck
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. E. L. Dieperink
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. Waroquier
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by X. Campi

This article was processed by the author using the LATEX style filepljour2 from Springer-Verlag.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Van Neck, D., Dieperink, A.E.L. & Waroquier, M. Single-particle properties in an exactly solvableA-body system. Z. Physik A — Hadrons and Nuclei 355, 107–109 (1996). https://doi.org/10.1007/BF02769671

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02769671

PACS

Search

Navigation