Skip to main content
SpringerLink
Log in

A density functional for liquid3He

  • Published:
Zeitschrift für Physik D Atoms, Molecules and Clusters

Abstract

We present a density functional for the description of liquid3He properties at zero temperature in a mean field approximation. Its basic ingredients are a zero-range, particle- and spin-density dependent effective interaction of Skyrme type, and a long-range effective interaction of Lennard-Jones type supplemented with a weighted density approximation similar to the one used in the study of classical fluids, to phenomenologically account for short range correlations. After fixing the value of its parameters, the functional yields a good description of the equation of state and Landau parameters (spin symmetric and spin antisymmetric as well) from saturation to solidification densities. The zero sound propagation at finite momentum transfer is quantitatively reproduced up to the Fermi momentum, and qualitatively above it. The surface tension is in agreement with experiment, which makes the functional well suited for3He drop calculations. We describe the structure of drops made of up to 516 atoms. As a novel application, we discuss the possible appearance of triplet pairing in anl-shell of a drop, applying the formalism to the 1j-shell holding up to 30 atoms fromN=169 to 198.

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. Dreizler, R.M., Providencia, J. da (eds.): Density functional methods in physics. NATO ASI Series B, vol. 123. New York: Plenum Press 1985

    Google Scholar 

  2. Petkov, I.Zh., Stoisov, M.V.: Nuclear density functional theory. Oxford: Clarendon Press 1991

    Google Scholar 

  3. Stringari, S.: Phys. Lett. A106, 267 (1984)

    Google Scholar 

  4. Stringari, S., Treiner, J.: Phys. Rev. B36, 8369 (1987)

    Google Scholar 

  5. Stringari, S., Treiner, J.: J. Chem. Phys.87, 5021 (1987)

    Google Scholar 

  6. Pandharipande, V.R., Pieper, S.C., Wiringa, R.B.: Phys. Rev. B34, 4571 (1986)

    Google Scholar 

  7. Lewart, D.S., Pandharipande, V.R., Pieper, S.C.: Phys. Rev. B37, 4950 (1988)

    Google Scholar 

  8. Serra, Ll., Navarro, J., Barranco, M., Nguyen Van Giai: Phys. Rev. Lett.67, 2311 (1991)

    Google Scholar 

  9. Dalfovo, F., Stringari, S.: J. Low Temp. Phys.77, 307 (1989)

    Google Scholar 

  10. Guirao, A., Centelles, M., Barranco, M., Pi, M., Polls, A., Viñas, X.: J. Phys.4, 667 (1992)

    Google Scholar 

  11. Barranco, M., Pi, M., Polls, A., Viñas, X.: J. Low Temp. Phys.80, 77 (1990)

    Google Scholar 

  12. Pines, D., Nozières, P.: The theory of quantum liquids. I. Normal Fermi liquids. New York: Benjamin 1966

    Google Scholar 

  13. Baym, G., Pethick, C.: Landau Fermi liquid theory. New York: Wiley 1991

    Google Scholar 

  14. Weisgerber, S., Reinhard, P.G., Toepffer, C.: Spin polarized quantum systems. Stringari, S. (ed.), p. 121. Singapore: World Scientific 1988

    Google Scholar 

  15. Hernández, E.S., Barranco, M., Polls, A.: Phys. Lett. A171, 119 (1992)

    Google Scholar 

  16. Garcia-Recio, C., Navarro, J., Nguyen Van Giai, Salcedo, L.L.: Ann. Phys. (NY)214, 293 (1992)

    Google Scholar 

  17. Dupont-Roc, J., Himbert, M., Pavloff, N., Treiner, J.: J. Low Temp. Phys.81, 31 (1990)

    Google Scholar 

  18. Weisgerber, S., Reinhard, P.G.: Phys. Lett. A158, 407 (1991)

    Google Scholar 

  19. Pines D.: Can. J. Phys.65, 1357 (1987)

    Google Scholar 

  20. Engel, Y.M., Brink, D.M., Goeke, K., Krieger, S.J., Vautherin, D.: Nucl. Phys. A249, 215 (1975)

    Google Scholar 

  21. Weisgerber, S.: Ph.D. thesis, University of Erlangen 1992 (unpublished)

  22. Greywall, S.: Phys. Rev. B27, 2747 (1983)

    Google Scholar 

  23. Migdal, A.B.: The theory of finite Fermi systems. New York: Wiley 1967

    Google Scholar 

  24. Sköld, K., Pelizzari, C.A., Kleb, K., Ostrowski, C.E.: Phys. Rev. Lett.37, 842 (1976); Sköld, K., Pelizzari, C.A.: J. Phys. (Paris) Colloq. C11, 589 (1978)

    Google Scholar 

  25. Hess, D.W., Pines, D.: J. Low Temp. Phys.72, 247 (1988)

    Google Scholar 

  26. Tarazona, P.: Phys. Rev. A31, 2672 (1985)

    Google Scholar 

  27. Stringari, S.: Phys. Lett. A107, 36 (1985)

    Google Scholar 

  28. Navarro, J., Serra, Ll., Barranco, M., Nguyen Van Giai: Clustering phenomena in atoms and nuclei. Springer Series in Nuclear and Particle Physics, Brenner, M., Lönnroth, T., Malik, F.B. (eds.), p. 83. Berlin Heidelberg New York: Springer 1992

    Google Scholar 

  29. Barranco, M., Hernández, E.S., Vignolo, C.E.: Z. Phys. D25, 233 (1993)

    Google Scholar 

  30. Weisgerber, S., Reinhard, P.G.: University of Erlangen Preprint Ann. Phys. (Leipzig) (submitted) (1993)

  31. Weisgerber, S., Reinhard, P.G.: Z. Phys. D23, 275 (1992)

    Google Scholar 

  32. Negele, J.W.: Rev. Mod. Phys.54, 913 (1982)

    Google Scholar 

  33. Hernández, E.S., Barranco, M.: Phys. Rev. B48, 365 (1993)

    Google Scholar 

  34. Koltun, D.S., Eisenberg, J.M.: Quantum mechanics of many degrees of freedom. New York: Wiley 1988

    Google Scholar 

  35. Ring, P., Schuck, P.: The nuclear many-body problem. Berlin, Heidelberg, New York: Springer 1980

    Google Scholar 

  36. Balian, R., Werthamer, N.R.: Phys. Rev.131, 1553 (1963)

    Google Scholar 

  37. Anderson, P.W., Morel, P.: Phys. Rev.123, 1911 (1961); Anderson, P.W., Brinkman, W.F.: Phys. Rev. Lett.30, 1108 (1973)

    Google Scholar 

  38. Leggett, A.J.: Rev. Mod. Phys.47, 331 (1975)

    Google Scholar 

  39. Bedell, K., Pines, D.: Phys. Lett. A78, 281 (1980)

    Google Scholar 

  40. Pfitzner, M., Wölfle, P.: J. Low Temp. Phys.51, 535 (1983)

    Google Scholar 

Download references

Author information

Author notes

  1. D. M. Jezek

    Present address: Departmento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, RA-1428, Buenos Aires, Argentina

  2. Ll. Serra

    Present address: Department de Física, Universitat de les Illes Balears, E-07071, Palma de Mallorca, Spain

Authors and Affiliations

  1. Department d'Estructura i Constituents de la Matèria, Facultad de Física, Universitat de Barcelona, E-08028, Barcelona, Spain

    M. Barranco & D. M. Jezek

  2. Departmento de Fisica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, RA-1428, Buenos Aires, Argentina

    E. S. Hernández

  3. Department de Fisica Atòmica, Molecular i Nuclear, Universitat de València, E-46100, Buriassot, Valencia, Spain

    J. Navarro

  4. Dipartimento di Fisica, Universitá degli Studi di Milano, I-20133, Milano, Italy

    Ll. Serra

Authors
  1. M. Barranco
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. M. Jezek
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. E. S. Hernández
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. J. Navarro
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Ll. Serra
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Barranco, M., Jezek, D.M., Hernández, E.S. et al. A density functional for liquid3He. Z Phys D - Atoms, Molecules and Clusters 28, 257–267 (1993). https://doi.org/10.1007/BF01437892

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01437892

PACS

Search

Navigation