Skip to main content
SpringerLink
Log in

Converging upper and lower bounds for ground-state energies of atomic nuclei

  • Original Article
  • Published:
The European Physical Journal A - Hadrons and Nuclei Aims and scope Submit manuscript

Abstract.

By expanding the wave function in terms of the translationally invariant basis of harmonic oscillator functions, we calculate the converging upper (variational) bound for the energy. It is shown that one can construct lower bounds using the reduced density matrix that corresponds to the upper bound. These lower bounds converge to an exact value with the expansion of the basis. We perform the calculations of both bounds with realistic nucleon-nucleon potential for ground states of the triton and the alpha-particle.

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. G.P. Kamuntavičius, Fiz. Elem. Chastits At. Yadra 20, 261 (1989), (Sov. J. Part. Nucl. 20, 109 (1989)).

    Google Scholar 

  2. G.P. Kamuntavičius, Few-Body Syst. 1, 91 (1986).

    Google Scholar 

  3. G.P. Kamuntavičius, P. Navrátil, B.R. Barrett, G. Sapragonaitė, R.K. Kalinauskas, Phys. Rev. C 60, 044304 (1999).

    Google Scholar 

  4. G.P. Kamuntavičius, Yad. Fiz. 34, 661 (1981), (Sov. J. Nucl. Phys. 34, 368 (1981)).

    Google Scholar 

  5. J.L. Friar, G.L. Payne, V.G.J. Stoks, J.J. de Swart, Phys. Lett. B 311, 4 (1993).

    Google Scholar 

  6. A. Nogga, H. Kamada, W. Glöckle, B.R. Barrett, Phys. Rev. C 65, 054003 (2002).

    Google Scholar 

  7. A.J. Coleman, Rev. Mod. Phys. 35, 668 (1963)

    Google Scholar 

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

    Google Scholar 

  9. G.P. Kamuntavičius, D. Germanas, R.K. Kalinauskas, R. Žemaičinienė, Lith. J. Phys. 43, 81 (2003).

    Google Scholar 

  10. V.G.J. Stoks, R.A.M. Klomp, C.P.F. Terheggen, J.J. de Swart, Phys. Rev. C 49, 2950 (1994).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Vytautas Magnus University, Donelaičio 58, LT-44248, Kaunas, Lithuania

    G. P. Kamuntavičius

  2. Institute of Physics, Savanoriu 231, LT-02300, Vilnius, Lithuania

    D. Germanas & R. K. Kalinauskas

  3. Šiauliai University, Vilniaus 88, LT-76285, Šiauliai, Lithuania

    S. Mickevičius & R. Žemaičinienė

Authors
  1. G. P. Kamuntavičius
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. Germanas
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. R. K. Kalinauskas
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. S. Mickevičius
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. R. Žemaičinienė
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

G. Orlandini

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kamuntavičius, G.P., Germanas, D., Kalinauskas, R.K. et al. Converging upper and lower bounds for ground-state energies of atomic nuclei. Eur. Phys. J. A 25, 379–385 (2005). https://doi.org/10.1140/epja/i2005-10135-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epja/i2005-10135-x

PACS.

Search

Navigation