The optimal Jastrow-type ground-state wave function of spin-aligned atomic hydrogen is calculated using the pair potential of Kolos and Wolniewicz. The optimization is performed by solving the Euler equation in the hypernetted chain approximation. Accurate energies as well as pair-distribution functions are obtained. The Bose-Einstein condensate fraction is evaluated from the one-particle momentum distribution. The pair distribution function is also used to obtain stability criteria for the system and minimal values for the aligning magnetic field are calculated at low densities. The resulting values of the minimal aligning fields are considerably higher than those obtained previously.
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References
J. V. Dugan and R. D. Etters, J. Chem. Phys. 59, 6171 (1973); R. D. Etters, Phys. Lett. 42A, 439 (1973); R. D. Etters, J. V. Dugan, and R. W. Palmer J. Chem. Phys. 62, 313 (1975).
R. L. Danilowicz, J. V. Dugan, and R. D. Etters, J. Chem. Phys. 65, 498 (1976).
W. C. Stwalley and L. H. Nosanow, Phys. Rev. Lett. 36, 910 (1976).
M. D. Miller and L. H. Nosanow, Phys. Rev. B 15, 4376 (1977).
L. H. Nosanow, in Quantum Fluids and Solids, S. B. Trickey, E. D. Adams, and J. W. Duffy, eds. (Plenum, New York 1977), p. 279.
W. Kolos and L. Wolniewicz, J. Chem. Phys. 43, 2429 (1965); Chem. Phys. Lett. 24, 457 (1974).
W. C. Stwalley, Phys. Rev. Lett. 37, 1628 (1976); J. Phys. (Paris) C6–108 (1978), and references therein.
L. J. Lantto and P. J. Siemens, Phys. Lett. 68B, 308 (1977).
E. Feenberg, Theory of Quantum Fluids (Academic, New York, 1968); see also C. C. Chang and C. E. Campbell, Phys. Rev. B 15, 4238 (1977); F. J. Pinski and C. E. Campbell, Phys. Lett. 79B, 23 (1978).
A. J. Berlinsky, R. D. Etters, V. V. Goldman, and I. F. Silvera, Phys. Rev. Lett. 39, 356 (1977).
A. J. Berlinsky, Phys. Rev. Lett. 39, 359 (1977).
L. J. Lantto, A. D. Jackson, and P. J. Siemens, Phys. Lett. 68B, 311 (1977).
L. J. Lantto and R. M. Nieminen, Phys. Lett. 66A, 106 (1978).
A. L. Fetter and J. D. Walecka, Quantum Theory of Many Particle Systems (McGraw-Hill, New York, 1971).
A. D. Jackson, A. Lande, and L. J. Lantto, Nucl. Phys. A 317, 70 (1979).
N. H. March, W. H. Young, and S. Sampanthar, The Many-Body Problem in Quantum Mechanics (University Press, Cambridge, 1967) p. 309.
J. Gavoret and P. Nozieres, Ann. Phys. (NY) 28, 349 (1964).
M. H. Kalos, to be published.
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Lantto, L.J., Nieminen, R.M. Properties of condensed spin-aligned atomic hydrogen from variational calculations. J Low Temp Phys 37, 1–12 (1979). https://doi.org/10.1007/BF00114052
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DOI: https://doi.org/10.1007/BF00114052