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 TMF, 1979, Volume 40, Number 1, Pages 100–111 (Mi tmf2809)

Self-consistent description of long-range and short-range correlations in the theory of liquid $\operatorname{He}^4$. I

I. A. Vakarchuk, I. R. Yukhnovskii

Abstract: A wave function is proposed for the ground state of liquid $\operatorname{He}^4$ that takes into account both long-range correlations that describe the zero-point vibrations of the Bose liquid and the short-range correlations that take into account the hard Core in the potential of the interatomic interaction. The method of collective variables is used to make an exact calculation of the long-range correlations, which describe well a weakly nonideal Bose gas. The short-range correlations are taken into account implicitly. It is shown that to obtain quantitative results in the theory of liquid $\operatorname{He}^4$ the hard core in the interaction potential must be taken into account explicitly.

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English version:
Theoretical and Mathematical Physics, 1979, 40:1, 626–633

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Citation: I. A. Vakarchuk, I. R. Yukhnovskii, “Self-consistent description of long-range and short-range correlations in the theory of liquid $\operatorname{He}^4$. I”, TMF, 40:1 (1979), 100–111; Theoret. and Math. Phys., 40:1 (1979), 626–633

Citation in format AMSBIB
\Bibitem{VakYuk79} \by I.~A.~Vakarchuk, I.~R.~Yukhnovskii \paper Self-consistent description of long-range and short-range correlations in the theory of liquid~$\operatorname{He}^4$.~I \jour TMF \yr 1979 \vol 40 \issue 1 \pages 100--111 \mathnet{http://mi.mathnet.ru/tmf2809} \transl \jour Theoret. and Math. Phys. \yr 1979 \vol 40 \issue 1 \pages 626--633 \crossref{https://doi.org/10.1007/BF01019246} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1979JG40800010} 

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This publication is cited in the following articles:
1. I. A. Vakarchuk, O. L. Gonopol'skii, I. R. Yukhnovskii, “Self-consistent description of long-range and short-range correlations in the theory of liquid  $\operatorname{He}^4$. II”, Theoret. and Math. Phys., 41:1 (1979), 896–903
2. I. A. Vakarchuk, I. R. Yukhnovskii, “Microscopic theory of the energy spectrum of liquid HeII”, Theoret. and Math. Phys., 42:1 (1980), 73–80
3. I. A. Vakarchuk, “Bose condensate in liquid $\textrm{He}^4$”, Theoret. and Math. Phys., 65:2 (1985), 1164–1171
4. G. O. Balabanyan, “Construction of theory of a binary mixture of nonideal Bose gases (or liquids) by the method of collective variables I. Wave function and ground-state energy, excitation spectrum, correlation functions, thermodynamics of the system at $T=0$”, Theoret. and Math. Phys., 66:1 (1986), 81–97
5. I. A. Vakarchuk, P. A. Glushak, “Free energy of a many-boson system at low temperatures”, Theoret. and Math. Phys., 75:1 (1988), 399–408
6. I. A. Vakarchuk, “Density matrices of superfluid helium-4. I”, Theoret. and Math. Phys., 80:3 (1989), 983–991
7. I. A. Vakarchuk, “Density matrices of superfluid helium-4. II”, Theoret. and Math. Phys., 82:3 (1990), 308–316
8. P. A. Glushak, B. B. Markiv, M. V. Tokarchuk, “Zubarev's nonequilibrium statistical operator method in the generalized statistics of multiparticle systems”, Theoret. and Math. Phys., 194:1 (2018), 57–73
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