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Variational calculation of the binding energy of one3He impurity in liquid4He

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Abstract

We present a variational microscopic study of the liquid4He with one3He impurity at zero temperature, within the framework of the average correlation approximation. In this approach all calculations can be referred to quantities of liquid4He. The chemical potentials of liquid4He and of a3He impurity are studied in the liquid range of densities and the results show an overall good agreement with the experimental data. Detailed comparisons with previous calculations are also presented. Due to the presence of the pressure term, the calculation of chemical potentials is a severe test to the capability of the wave function and the interaction to obtain a good saturation density. The calculation of the chemical potential of the impurity using the Lennard-Jones and the Aziz potentials, points out the different balance of kinetic and potential energies obtained in the variational minimization of these two potentials.

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References

  1. G. Baym,Phys. Rev. Lett. 17, 952 (1966).

    Google Scholar 

  2. J. Bardeen, G. Baym, and D. Pines,Phys. Rev. 156, 207 (1967).

    Google Scholar 

  3. D. O. Edwards, D. F. Brewer, P. Seligman, M. Skerti, and M. Yagub,Phys. Rev. Lett. 15, 773 (1965).

    Google Scholar 

  4. C. Ebner and D. O. Edwards,Phys. Rep. 2, 77 (1970).

    Google Scholar 

  5. R. De Bruyn Ouboter, and C. N. Yang,Physica 144B, 127 (1987).

    Google Scholar 

  6. P. Seligman, P. O. Edwards, R. E. Sarwinski, and J. T. Tough,Phys. Rev. 181, 415 (1969).

    Google Scholar 

  7. Q. N. Usmani, S. Fantoni, and V. R. Pandharipande,Phys. Rev. B 26, 6123 (1982).

    Google Scholar 

  8. A. Fabrocini, S. Fantoni, S. Rosati, and A. Polls,Phys. Rev. B 33, 6057 (1986).

    Google Scholar 

  9. A. Fabrocini, and A. Polls,Phys. Rev. B 30, 1200 (1984).

    Google Scholar 

  10. A. Fabrocini, and A. Polls,Phys. Rev. B 25, 4533 (1982).

    Google Scholar 

  11. K. Schmidt, M. H. Kalos, M. A. Lee, and G. V. Chester,Phys. Rev. Lett. 45, 573 (1980).

    Google Scholar 

  12. W. L. McMillan,Phys. Rev. 138, 442 (1965).

    Google Scholar 

  13. P. Roach, J. Ketterson, and C. W. Woo,Phys. Rev. A 2, 543 (1970).

    Google Scholar 

  14. R. Aziz, and R. K. Pathria,Phys. Rev. A 7, 809 (1973).

    Google Scholar 

  15. K. E. Kurten, and M. L. Ristig,Phys. Rev. B 27, 5479 (1983).

    Google Scholar 

  16. T. B. Davison, and E. Feenberg,Phys. Rev. 178, 306 (1969).

    Google Scholar 

  17. W. E. Masey, C. W. Woo, and H. T. Tan,Phys. Rev. A 1, 519 (1970).

    Google Scholar 

  18. M. B. Yim, and W. E. Massey,Phys. Rev. B 19, 3529 (1979).

    Google Scholar 

  19. J. Boronat, A. Fabrocini, and A. Polls, in preparation.

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

    Google Scholar 

  21. V. F. Sears,Phys. Rev. B 28, 5109 (1983).

    Google Scholar 

  22. P. A. Whitlock, R. Panoff,Can. J. Phys. 65, 1416 (1987).

    Google Scholar 

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Supported by a Fulbright Fellowship.

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Boronat, J., Fabrocini, A. & Polls, A. Variational calculation of the binding energy of one3He impurity in liquid4He. J Low Temp Phys 74, 347–364 (1989). https://doi.org/10.1007/BF00683379

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  • DOI: https://doi.org/10.1007/BF00683379

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