Skip to main content
Log in

Fermi-Hypernetted Chain Theory for Liquid 3He: A Reassessment

  • Published:
Journal of Low Temperature Physics Aims and scope Submit manuscript

Abstract

The Fermi–Hypernetted Chain theory for 3He is reviewed. We develop the theory step by step by the inclusion of elementary diagrams, triplet-correlations, propagator corrections, and spin-correlations. Simulation data are reproduced at each level of implementation. So-called “backflow” correlations are identified to be a consequence of the “mean spherical approximation” which is implicit to the Jastrow–Feenberg wave function for fermions. Results of the best calculation for the energetics and structure functions agree within 0.2–0.3 K with experiments.

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. E. Feenberg, Theory of Quantum Fluids, Academic, New York (1969).

    Google Scholar 

  2. R. P. Feynman and M. Cohen, Phys. Rev. 102, 1189 (1956).

    Google Scholar 

  3. G. Ripka, Physics Reports 56, 1 (1979).

    Google Scholar 

  4. M. A. Lee, K. E. Schmidt, M. H. Kalos, and G. V. Chester, Phys. Rev. Lett. 46, 728 (1981).

    Google Scholar 

  5. F. Pederiva, S. A. Vitiello, K. A. Gernoth, S. Fantoni, and L. Reatto, Phys. Rev. B 53, 15129 (1996).

    Google Scholar 

  6. J. Casulleras and J. Boronat, Progress in Monte Carlo Calculations of Fermi Systems: Liquid 3He, Phys. Rev. Lett. (in press).

  7. E. Krotscheck, J. Low Temp. Phys. 27, 199 (1977).

    Google Scholar 

  8. J. G. Zabolitzky, Phys. Rev. A 16, 1258 (1977).

    Google Scholar 

  9. E. Krotscheck, Phys. Rev. A 15, 397 (1977).

    Google Scholar 

  10. E. Krotscheck and M. L. Ristig, Phys. Lett. A 48, 17 (1974).

    Google Scholar 

  11. S. Fantoni and S. Rosati, Nuovo Cimento 25A, 593 (1975).

    Google Scholar 

  12. J. W. Clark, in Progress in Particle and Nuclear Physics, D. H. Wilkinson (ed.), Pergamon Press, Oxford (1979), Vol. 2, pp. 89-199.

    Google Scholar 

  13. E. Krotscheck, Ann. Phys. (NY) 155, 1 (1984).

    Google Scholar 

  14. E. Krotscheck, Phys. Rev. B 33, 3158 (1986).

    Google Scholar 

  15. S. Babu and G. E. Brown, Ann. Phys. (NY) 78, 1 (1973).

    Google Scholar 

  16. C. E. Campbell and E. Feenberg, Phys. Rev. 188, 396 (1969).

    Google Scholar 

  17. A. D. Jackson, A. Lande, and R. A. Smith, Physics Reports 86, 55 (1982).

    Google Scholar 

  18. A. D. Jackson, A. Lande, and R. A. Smith, Phys. Rev. Lett. 54, 1469 (1985).

    Google Scholar 

  19. E. Krotscheck, A. D. Jackson, and R. A. Smith, Phys. Rev. A 33, 3535 (1986).

    Google Scholar 

  20. D. Pines and P. Nozieres, The Theory of Quantum Liquids, Benjamin, New York (1966), Vol. I.

    Google Scholar 

  21. J. M. C. Chen, J.W. Clark, and D. G. Sandler, Z. Physik A 305, 223 (1982).

    Google Scholar 

  22. E. Krotscheck, Phys. Rev. A 26, 3536 (1982).

    Google Scholar 

  23. E. Krotscheck and J. W. Clark, Nucl. Phys. A 328, 73 (1979).

    Google Scholar 

  24. C. E. Campbell and J. G. Zabolitzky, Phys. Rev. B 29, 123 (1984).

    Google Scholar 

  25. E. Krotscheck, H. Kümmel, and J. G. Zabolitzky, Phys. Rev. A 22, 1243 (1980).

    Google Scholar 

  26. E. Krotscheck, R. A. Smith, and A. D. Jackson, Phys. Rev. B 24, 6404 (1981).

    Google Scholar 

  27. E. Krotscheck, R. A. Smith, J.W. Clark, and R. M. Panoff, Phys. Rev. B 24, 6383 (1981).

    Google Scholar 

  28. R. A. Aziz et al., J. Chem. Phys. 70, 4330 (1979).

    Google Scholar 

  29. E. Krotscheck and M. Saarela, Physics Reports 232, 1 (1993).

    Google Scholar 

  30. R. A. Smith, Phys. Lett. B 63, 369 (1976).

    Google Scholar 

  31. L. J. Lantto and P. J. Siemens, Phys. Lett. B 68, 308 (1977).

    Google Scholar 

  32. K. E. Schmidt, M. A. Lee, M. H. Kalos, and G. V. Chester, Phys. Rev. Lett. 47, 807 (1981).

    Google Scholar 

  33. C. H. Aldrich and D. Pines, J. Low Temp. Phys. 25, 677 (1976).

    Google Scholar 

  34. N. Iwamoto, E. Krotscheck, and D. Pines, Phys. Rev. B 29, 3936 (1984).

    Google Scholar 

  35. J. C. Owen and G. Ripka, La Rivista del Nuovo Cimento 6, 1 (1983).

    Google Scholar 

  36. C. E. Campbell and K. E. Kürten, J. Low Temp. Phys. 44, 149 (1981).

    Google Scholar 

  37. J. C. Owen and G. Ripka, Phys. Rev. B 25, 4914 (1982).

    Google Scholar 

  38. J. Boronat and J. Casulleras, Phys. Rev. B 49, 8920 (1994).

    Google Scholar 

  39. J. Boronat, 1999, private communication.

  40. E. K. Achter and L. Meyer, Phys. Rev. 188, 291 (1969).

    Google Scholar 

  41. R. B. Hallock, J. Low Temp. Phys. 26, 109 (1972).

    Google Scholar 

  42. E. Krotscheck and W. Kundt, Phys. Lett. B 71, 19 (1977).

    Google Scholar 

  43. C. C. Chang and C. E. Campbell, Phys. Rev. B 15, 4238 (1977).

    Google Scholar 

  44. C. C. Chang and C. E. Campbell, Phys. Rev. B 13, 3779 (1976).

    Google Scholar 

  45. B. L. Friman and E. Krotscheck, Phys. Rev. Lett. 49, 1705 (1982).

    Google Scholar 

  46. A. D. Jackson, E. Krotscheck, D. Meltzer, and R. A. Smith, Nucl. Phys. A 386, 125 (1982).

    Google Scholar 

  47. B. Fåk, K. Guckelsberger, R. Scherm, and A. Stunault, J. Low Temp. Phys. 97, 445 (1994).

    Google Scholar 

  48. B. Fåk et al., J. Low Temp. Phys. 110, 417 (1998).

    Google Scholar 

  49. M. Saarela, Phys. Rev. B 33, 4596 (1986).

    Google Scholar 

  50. V. Apaja and M. Saarela, Phys. Rev. B 57, 5358 (1998).

    Google Scholar 

  51. C. E. Campbell, in Progress in Liquid Physics, C. A. Croxton (ed.), Wiley, London (1977), Chap. 6, pp. 213-308.

    Google Scholar 

  52. M. H. Kalos, M. A. Lee, P. A. Whitlock, and G. Chester, Phys. Rev. B 24, 115 (1981).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Krotscheck, E. Fermi-Hypernetted Chain Theory for Liquid 3He: A Reassessment. Journal of Low Temperature Physics 119, 103–145 (2000). https://doi.org/10.1023/A:1004664619961

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1004664619961

Keywords

Navigation