Abstract
A variational microscopic calculation of the binding energy of a4He impurity (μi) in homogeneous liquid3He at zero temperature is presented. Starting on an extended Jastrow-Slater wave function including three-body correlations, the expression for μI is derived and the appropriated FHNC formalism for this problem is reviewed. In the framework of the Average Correlation Approximation (ACA), it is proved that it is possible to obtain the chemical potential of the impurity only from liquid3He magnitudes with a good accuracy. Our results are consistent with both a recent experimental determination of μI at zero pressure and the non-solubility of4He in3He. However, numerical uncertainties preclude a firm conclusion about the latter property.
Similar content being viewed by others
References
D. O. Edwards, M. S. Petersen, and T. G. Culman,J. Low. Temp. Phys. 89, 831 (1992).
W. F. Saam and J. P. Laheurte,Phys. Rev. A 4, 1170 (1971); J. P. Laheurte,J. Low Temp. Phys. 12, 127 (1973).
C. Ebner and D. O. Edwards,Phys. Rep. C 2, 77 (1970).
A. Fabrocini and A. Polls,Phys. Rev. B 25, 4533 (1982).
J. Boronat, A. Polls, and A. Fabrocini,J. Low. Temp. Phys. 91, 275 (1993).
M. Saarela and E. Krotscheck, inRecent Progress in Many Body Theories, Vol. III, p. 207, T. L. Ainsworth (ed.), Plenum Press, 1992; E. Krotscheck and M. Saarela,Phys. Rep. 232, 1 (1993).
M. Nakamura, G. Shirota, T. Shigematsu, K. Nagao, Y. Fujii, M. Yamaguchi and T. Shigi,Physica B 165 &166, 517 (1990).
M. Saarela and E. Krotscheck,J. Low Temp. Phys. 90, 415 (1993).
J. Boronat, A. Fabrocini, and A. Polls,J. Low Temp. Phys. 74, 347 (1989).
E. Feenberg,Theory of Quantum Fluids (Academic Press, New York and London, 1969).
A. Fabrocini, S. Fantoni, S. Rosati, and A. Polls,Phys. Rev. B 33, 6057 (1986).
S. Fantoni and S. Rosati,Nuovo Cimento A 20, 179 (1974).
E. Manousakis, S. Fantoni, V. R. Pandharipande, and Q. N. Usmani,Phys. Rev. B 28, 3770 (1983).
M. Viviani, E. Buendía, S. Fantoni, and S. Rosati,Phys. Rev. B 38, 4523 (1988).
Q. N. Usmani,Nucl. Phys. A 340, 397 (1980).
S. Rosati, inFrom Nuclei to Particles, Proceedings of the International School of Physics “Enrico Fermi,” Course LXXIX, Varenna (North-Holland, Amsterdam, 1981).
Q. N. Usmani, B. Friedman, and V. R. Pandharipande,Phys. Rev. B 25, 4502 (1982).
Q. N. Usmani, S. Fantoni, and V. R. Pandharipande,Phys. Rev. B 26, 6123 (1982).
M. D. Miller,Ann. Phys. (N.Y.) 127, 367 (1980).
G. Baym,Phys. Rev. Lett. 17, 952 (1966).
R. A. Aziz, V. P. S. Nain, J. S. Carley, W. L. Taylor, and G. T. McConville,J. Chem. Phys. 70, 4330 (1979).
W. L. McMillan,Phys. Rev. 138, 442 (1965).
F. Arias de Saavedra and E. Buendia,Phys. Rev. B 46, 13934 (1992).
T. R. Roberts, R. H. Sherman, and G. Sydoriak,J. Res. Nat. Bur. Stand. Sect. A 68, 567 (1964).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Boronat, J., de Saavedra, F.A., Buendia, E. et al. Binding energy of one4He impurity in liquid3He. J Low Temp Phys 94, 325–349 (1994). https://doi.org/10.1007/BF00754673
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00754673