Skip to main content
Log in

Bounds on the presence of quantum chaos in nuclear masses

  • ENAM 2004
  • Published:
The European Physical Journal A - Hadrons and Nuclei Aims and scope Submit manuscript

Abstract.

Differences between measured nuclear masses and those calculated using the Finite-Range Droplet Model are analyzed. It is shown that they have a well defined, clearly correlated oscillatory component as a function of the proton and neutron numbers. At the same time, they exhibit in their power spectrum the presence of chaos. Comparison with other mass calculations strongly suggest that this chaotic component arises from many body effects not included in the mass formula, and that they do not impose limits in the precision of mass calculations.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. S. Åberg, Nature 417, 499 (2002).

    Article  PubMed  Google Scholar 

  2. O. Bohigas, P. Leboeuf, Phys. Rev. Lett. 88, 92502 (2002).

    Article  Google Scholar 

  3. C.E. Rolfs, W.S. Rodney, Cauldrons in the Cosmos (University of Chicago Press, 1988).

  4. D. Lunney, J.M. Pearson, C. Thibault, Rev. Mod. Phys. 75, 1021 (2003).

    Article  Google Scholar 

  5. P. Möller, J.R. Nix, W.D. Myers, W.J. Swiatecki, At. Data Nucl. Data Tables 59, 185 (1995).

    Article  Google Scholar 

  6. J. Duflo, Nucl. Phys. A 576, 29 (1994)

    Article  Google Scholar 

  7. S. Goriely, F. Tondeur, J.M. Pearson, At. Data Nucl. Data Tables 77, 311 (2001)

    Article  Google Scholar 

  8. G.T. Garvey, I. Kelson, Phys. Rev. Lett. 16, 197 (1966)

    Article  Google Scholar 

  9. Víctor Velázquez, Jorge G. Hirsch, Alejandro Frank, Rev. Mex. Fís. 49, Suppl. 4, 34 (2003).

    Google Scholar 

  10. J.G. Hirsch, A. Frank, V. Velázquez, Phys. Rev. C 69, 37304 (2004).

    Article  Google Scholar 

  11. J.G. Hirsch, V. Velázquez, A. Frank, Rev. Mex. Fís. 50, Suppl. 2, 40 (2004).

    Google Scholar 

  12. J.G. Hirsch, V. Velázquez, A. Frank, Phys. Lett. B 595, 231 (2004).

    Article  Google Scholar 

  13. J. Barea, A. Frank, J.G. Hirsch, P. van Isacker, Phys. Rev. Lett. 94, 102501 (2005), arXiv:nucl-th/0502038.

    Article  PubMed  Google Scholar 

  14. A. Relaño, J.M.G. Gómez, R.A. Molina, J. Retamosa, E. Faleiro, Phys. Rev. Lett. 89, 244102 (2002).

    Article  PubMed  Google Scholar 

  15. G. Audi, A.H. Wapstra, C. Thibault, Nucl. Phys. A 729, 337 (2003).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to J. G. Hirsch.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hirsch, J.G., Frank, A., Barea, J. et al. Bounds on the presence of quantum chaos in nuclear masses. Eur. Phys. J. A 25 (Suppl 1), 75–78 (2005). https://doi.org/10.1140/epjad/i2005-06-050-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjad/i2005-06-050-0

PACS.

Navigation