Advertisement

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

  • M. K. G. Kruse
  • H. G. Miller
  • A. R. Plastino
  • A. Plastino
  • S. Fujita
Original Article

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.

PACS.

21.10.Ma Level density 21.10.Re Collective levels 74.20.Rp Pairing symmetries (other than s-wave) 74.20.De Phenomenological theories (two-fluid, Ginzburg-Landau, etc.) 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    N.J. Davidson, S.S. Hsaio, J. Markram, H.G. Miller, Y. Tzeng, Phys. Lett. B 315, 12 (1993).Google Scholar
  2. 2.
    R.A. Ritchie, H.G. Miller, F.C. Khanna, Eur. Phys. J. A 10, 97 (2001).Google Scholar
  3. 3.
    P.A. Seeger, Nucl. Phys. 25, 1 (1961).Google Scholar
  4. 4.
    E. Liftshitz, L.P. Pitaeevskii, Statistical Physics II (Pergamon, Oxford, 1980).Google Scholar
  5. 5.
    M. Baldo, J. Cugnon, A. Lejeune, U. Lombardo, Nucl. Phys. A 515, 409 (1990).Google Scholar
  6. 6.
    M. Lacombe, Phys. Rev. C 21, 861 (1980).Google Scholar
  7. 7.
    V.L. Ginzburg, J. Stat. Phys. 1, 3 (1969).Google Scholar
  8. 8.
    G. Baym, C. Pethick, D. Pines, M. Ruderman, Nature 224, 872 (1969).Google Scholar
  9. 9.
    J.W. Clark, N.C. Chao, Lett. Nuovo Cimento 2, 185 (1969).Google Scholar
  10. 10.
    J.W. Clark, Phys. Rev. Lett. 23, 1463 (1969).Google Scholar
  11. 11.
    E. Ostgaard, Nucl. Phys. A 154, 202 (1970).Google Scholar
  12. 12.
    C.H. Yang, J.W. Clark, Nucl. Phys. A 174, 49 (1971).Google Scholar
  13. 13.
    N. Chao, J.W. Clark, C.H. Yang, Nucl. Phys. A 179, 320 (1972).Google Scholar
  14. 14.
    T. Tatsuka, Prog. Theor. Phys 48, 1517 (1972).Google Scholar
  15. 15.
    L. Amundsen, E. Ostgaard, Nucl. Phys. A 437, 487 (1985).Google Scholar
  16. 16.
    V.J. Emery, A.M. Sessler, Phys. Rev. 114, 1377 (1960).Google Scholar
  17. 17.
    A. Gilbert, A.G.W. Cameron, Can. J. Phys. 43, 1446 (1965).Google Scholar
  18. 18.
    H.G. Miller, B.J. Cole, R.M. Quick, Phys. Rev. Lett. 63, 1922 (1989). Google Scholar
  19. 19.
    S. Fujita, Statistical and Thermal Physics, Part II (Robert E. Krieger Publishing Co., Fla., USA, 1986).Google Scholar
  20. 20.
    P. Doty, J. Yang jr., Am. Chem. Soc. 78, 498 (1956).Google Scholar
  21. 21.
    S. Levit, Y. Alhassid, Nucl. Phys. A 413, 439 (1984).Google Scholar
  22. 22.
    H.G. Miller, R.M. Quick, B.J. Cole, Phys. Rev. C 39, 1599 (1989).Google Scholar
  23. 23.
    J. Dukelsky, A. Poves, J. Retamosa, Phys. Rev. C 44, 2872 (1991).Google Scholar
  24. 24.
    R. Rossignoli, R.M. Quick, H.G. Miller, Phys. Lett. B 277, 18 (1992).Google Scholar
  25. 25.
    O. Civitarese, M. Schvellinger, Phys. Rev. C 49, 1976 (1994).Google Scholar
  26. 26.
    G.D. Yen, H.G. Miller, Mod. Phys. Lett. A 7, 1503 (1992).Google Scholar
  27. 27.
    G.D. Yen, H.G. Miller, Phys. Rev. C 50, 807 (1994).Google Scholar
  28. 28.
    B.J. Cole, H.G. Miller, R.M. Quick, Mod. Phys. Lett. A 13, 2705 (1998).Google Scholar
  29. 29.
    D.H. Feng, R. Gilmore, L.M. Narducci, Phys. Rev. C 19, 1119 (1979).Google Scholar
  30. 30.
    R. Rossignoli, A. Plastino, Phys. Rev. C 32, 1041 (1985).Google Scholar
  31. 31.
    E.D. Davis, H.G. Miller, Phys. Lett. B 196, 277 (1987).Google Scholar
  32. 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. 33.
    D.J. Dean, M. Hjorth-Jensen, Rev. Mod. Phys. 75, 607 (2003).Google Scholar
  34. 34.
    G.H. Lang, C.W. Johnson, S.E. Koonin, W.E. Ormand, Phys. Rev. C 48, 1518 (1993).Google Scholar
  35. 35.
    Y. Alhassid, D.J. Dean, S.E. Koonin, G.H. Lang, W.E. Ormond, Phys. Rev. Lett. 72, 613 (1994).Google Scholar
  36. 36.
    S. Liu, Y. Alhassid, Phys. Rev. Lett. 87, 022501 (2001).Google Scholar
  37. 37.
    Y. Alhassid, G.F. Bertsch, L. Fang, Phys. Rev. C 88, 044322 (2003).Google Scholar
  38. 38.
    E. Melby, Phys. Rev. Lett. 83, 3150 (1999).Google Scholar
  39. 39.
    A. Schiller, Phys. Rev. C 63, 021306(R) (2001).Google Scholar
  40. 40.
    R.K. Pathria, Statistical Mechanics (Pergamon Press, Oxford, 1984).Google Scholar
  41. 41.
    F. Solms, H.G. Miller, A. Plastino, Phys. Lett. A 157, 286 (1991).Google Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag 2005

Authors and Affiliations

  • M. K. G. Kruse
    • 1
  • H. G. Miller
    • 1
  • A. R. Plastino
    • 1
  • A. Plastino
    • 1
    • 2
  • S. Fujita
    • 3
  1. 1.Department of PhysicsUniversity of PretoriaPretoriaSouth Africa
  2. 2.La Plata Physics InstituteNational University La Plata and CONICETLa PlataArgentina
  3. 3.Department of PhysicsSUNY at BuffaloBuffaloUSA

Personalised recommendations