Skip to main content
SpringerLink
Log in

Landau-Ginzburg method applied to finite fermion systems: Pairing in nuclei

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

Abstract.

Given the spectrum of a Hamiltonian, a methodology is developed which employs the Landau-Ginsburg theory for characterizing phase transitions in infinite systems to identify phase transition remnants in finite fermion systems. As a first application of our appproach we discuss pairing in finite nuclei.

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. N.J. Davidson, S.S. Hsaio, J. Markram, H.G. Miller, Y. Tzeng, Phys. Lett. B 315, 12 (1993).

    Google Scholar 

  2. R.A. Ritchie, H.G. Miller, F.C. Khanna, Eur. Phys. J. A 10, 97 (2001).

    Google Scholar 

  3. P.A. Seeger, Nucl. Phys. 25, 1 (1961).

    Google Scholar 

  4. E. Liftshitz, L.P. Pitaeevskii, Statistical Physics II (Pergamon, Oxford, 1980).

  5. M. Baldo, J. Cugnon, A. Lejeune, U. Lombardo, Nucl. Phys. A 515, 409 (1990).

    Google Scholar 

  6. M. Lacombe, Phys. Rev. C 21, 861 (1980).

    Google Scholar 

  7. V.L. Ginzburg, J. Stat. Phys. 1, 3 (1969).

    Google Scholar 

  8. G. Baym, C. Pethick, D. Pines, M. Ruderman, Nature 224, 872 (1969).

    Google Scholar 

  9. J.W. Clark, N.C. Chao, Lett. Nuovo Cimento 2, 185 (1969).

    Google Scholar 

  10. J.W. Clark, Phys. Rev. Lett. 23, 1463 (1969).

    Google Scholar 

  11. E. Ostgaard, Nucl. Phys. A 154, 202 (1970).

    Google Scholar 

  12. C.H. Yang, J.W. Clark, Nucl. Phys. A 174, 49 (1971).

    Google Scholar 

  13. N. Chao, J.W. Clark, C.H. Yang, Nucl. Phys. A 179, 320 (1972).

    Google Scholar 

  14. T. Tatsuka, Prog. Theor. Phys 48, 1517 (1972).

    Google Scholar 

  15. L. Amundsen, E. Ostgaard, Nucl. Phys. A 437, 487 (1985).

    Google Scholar 

  16. V.J. Emery, A.M. Sessler, Phys. Rev. 114, 1377 (1960).

    Google Scholar 

  17. A. Gilbert, A.G.W. Cameron, Can. J. Phys. 43, 1446 (1965).

    Google Scholar 

  18. H.G. Miller, B.J. Cole, R.M. Quick, Phys. Rev. Lett. 63, 1922 (1989).

    Google Scholar 

  19. S. Fujita, Statistical and Thermal Physics, Part II (Robert E. Krieger Publishing Co., Fla., USA, 1986).

  20. P. Doty, J. Yang jr., Am. Chem. Soc. 78, 498 (1956).

    Google Scholar 

  21. S. Levit, Y. Alhassid, Nucl. Phys. A 413, 439 (1984).

    Google Scholar 

  22. H.G. Miller, R.M. Quick, B.J. Cole, Phys. Rev. C 39, 1599 (1989).

    Google Scholar 

  23. J. Dukelsky, A. Poves, J. Retamosa, Phys. Rev. C 44, 2872 (1991).

    Google Scholar 

  24. R. Rossignoli, R.M. Quick, H.G. Miller, Phys. Lett. B 277, 18 (1992).

    Google Scholar 

  25. O. Civitarese, M. Schvellinger, Phys. Rev. C 49, 1976 (1994).

    Google Scholar 

  26. G.D. Yen, H.G. Miller, Mod. Phys. Lett. A 7, 1503 (1992).

    Google Scholar 

  27. G.D. Yen, H.G. Miller, Phys. Rev. C 50, 807 (1994).

    Google Scholar 

  28. B.J. Cole, H.G. Miller, R.M. Quick, Mod. Phys. Lett. A 13, 2705 (1998).

    Google Scholar 

  29. D.H. Feng, R. Gilmore, L.M. Narducci, Phys. Rev. C 19, 1119 (1979).

    Google Scholar 

  30. R. Rossignoli, A. Plastino, Phys. Rev. C 32, 1041 (1985).

    Google Scholar 

  31. E.D. Davis, H.G. Miller, Phys. Lett. B 196, 277 (1987).

    Google Scholar 

  32. T. Duget, P. Bonche, in Nuclei at the Limits, edited by D. Seweryniak, T.L. Khoo, AIP Conf. Proc. 764, 277 (2005).

    Google Scholar 

  33. D.J. Dean, M. Hjorth-Jensen, Rev. Mod. Phys. 75, 607 (2003).

    Google Scholar 

  34. G.H. Lang, C.W. Johnson, S.E. Koonin, W.E. Ormand, Phys. Rev. C 48, 1518 (1993).

    Google Scholar 

  35. Y. Alhassid, D.J. Dean, S.E. Koonin, G.H. Lang, W.E. Ormond, Phys. Rev. Lett. 72, 613 (1994).

    Google Scholar 

  36. S. Liu, Y. Alhassid, Phys. Rev. Lett. 87, 022501 (2001).

    Google Scholar 

  37. Y. Alhassid, G.F. Bertsch, L. Fang, Phys. Rev. C 88, 044322 (2003).

    Google Scholar 

  38. E. Melby, Phys. Rev. Lett. 83, 3150 (1999).

    Google Scholar 

  39. A. Schiller, Phys. Rev. C 63, 021306(R) (2001).

    Google Scholar 

  40. R.K. Pathria, Statistical Mechanics (Pergamon Press, Oxford, 1984).

  41. F. Solms, H.G. Miller, A. Plastino, Phys. Lett. A 157, 286 (1991).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, University of Pretoria, 0002, Pretoria, South Africa

    M. K. G. Kruse, H. G. Miller, A. R. Plastino & A. Plastino

  2. La Plata Physics Institute, National University La Plata and CONICET, C.C. 727, 1900, La Plata, Argentina

    A. Plastino

  3. Department of Physics, SUNY at Buffalo, Buffalo, NY, USA

    S. Fujita

Authors
  1. M. K. G. Kruse
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. H. G. Miller
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. R. Plastino
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. A. Plastino
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. S. Fujita
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to H. G. Miller.

Additional information

V. Vento

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kruse, M.K.G., Miller, H.G., Plastino, A.R. et al. Landau-Ginzburg method applied to finite fermion systems: Pairing in nuclei. Eur. Phys. J. A 25, 339–344 (2005). https://doi.org/10.1140/epja/i2005-10133-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epja/i2005-10133-0

PACS.

Search

Navigation