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Modified hypernetted-chain equation for the ground state of Bose fluids

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Il Nuovo Cimento D

Summary

The modified hypernetted-chain equation is used to study the ground state of Bose fluids in the Jastrow approximation. We test the equation for different forms of the pair interaction and of the Jastrow pseudopotential and in all cases the energy of 4He is given with an error not larger than 0.1 K at all densities. The effect of a triplet term in the wavefunction is also studied.

Riassunto

L’equazione integrale HNC modificata è applicata allo studio dello stato fondamentale di un fluido di Bose nell’approssimazione di Jastrow per diverse espressioni della interazione binaria e forme diverse della correlazione di Jastrow. In tutti i casi l’energia per 4He è calcolata con un errore non superiore a 0.1 K a tutte le densità. Si considera inoltre l’effetto di una correlazione a tre corpi nella funzione d’onda.

Резюме

модифицированное уравнение цепочки используется для исследования основного состояния Ъозе-жидкости в приближении Ястрова. Мы проверяем уравнение для различных форм парного взаимодействия и псевдопотенциала Ястрова. Во всех случаях приводится энергия 4He с погрешностью не более, чем 0.1 K для всех плотностей. Также исследуется влияине триплетного члена на волновую функцию.

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References

  1. D. M. Ceperley and M. H. Kalos: in Montecarlo Methods in Statistical Physics, edited by K. Binder (Springer, Berlin, 1979).

    Google Scholar 

  2. Q. N. Usmani, B. Friedman and V. R. Pandharipande: Phys. Rev. B, 25, 4502 (1982).

    Article  ADS  Google Scholar 

  3. A. Fabrocini and S. Rosati: Nuovo Cimento D, 1, 567 (1982).

    Article  ADS  Google Scholar 

  4. M. Viviani, E. Buendìa, A. Fabrocini and S. Rosati: Nuovo Cimento D, 8, 561 (1986).

    Article  ADS  Google Scholar 

  5. Y. Rosenfeld and N. W. Ashcroft: Phys. Rev. A, 20, 1208 (1979).

    Article  ADS  Google Scholar 

  6. L. Reatto and M. Tau: J. Chem. Phys., 86, 6474 (1987).

    Article  ADS  Google Scholar 

  7. R. A. Aziz, V. P. S. Nain, J. S. Carley, W. L. Taylor and G. T. Mc Conville: J. Chem. Phys., 70, 4330, (1979).

    Article  ADS  Google Scholar 

  8. F. Lado: Phys. Lett. A, 89, 196 (1982).

    Article  ADS  Google Scholar 

  9. S. M. Foiles, N. W. Ashcroft and L. Reatto: J. Chem. Phys., 80, 4441 (1984).

    Article  Google Scholar 

  10. S. Celi, L. Reatto and M. Tau: in Proceedings of the International Workshop on Static and Dynamic Properties of Liquids, edited by M. Davidovic and A. K. Soper (Springer, Heidelberg), in press.

  11. L. Verlet and J. J. Weis: Phys. Rev. A, 5, 939 (1972).

    Article  ADS  Google Scholar 

  12. D. Henderson and E. W. Grundke: J. Chem. Phys., 63, 601 (1975).

    Article  Google Scholar 

  13. D. Schiff and L. Verlet: Phys. Rev., 160, 208 (1967).

    Article  ADS  Google Scholar 

  14. M. H. Kalos, D. Levesque and L. Verlet: Phys. Rev. A, 9, 2178 (1974).

    Article  ADS  Google Scholar 

  15. S. Vitiello, K. Runge and M. H. Kalos: Phys. Rev. Lett., 60, 1970 (1988) and to be published.

    Article  ADS  Google Scholar 

  16. P. A. Whitlock and S. Vitiello: private communication.

  17. F. J. Pinski and C. E. Campbell: Phys. Lett. B, 79, 23 (1978).

    Article  ADS  Google Scholar 

  18. L. Reatto and G. V. Chester: Phys. Rev., 155, 88 (1967).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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Oddi, L., Reatto, L. Modified hypernetted-chain equation for the ground state of Bose fluids. Nouv Cim D 11, 1679–1691 (1989). https://doi.org/10.1007/BF02459115

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