Geodesic
Self-consistent description of long-range and short-range correlations in the theory of liquid  $\operatorname{He}^4$. II
Teoretičeskaâ i matematičeskaâ fizika, Tome 41 (1979) no. 1, pp. 77-88 
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. Teoretičeskaâ i matematičeskaâ fizika, Tome 41 (1979) no. 1, pp. 77-88. http://geodesic.mathdoc.fr/item/TMF_1979_41_1_a8/
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     title = {Self-consistent description of long-range and short-range correlations in the theory of liquid~~$\operatorname{He}^4${.~II}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {77--88},
     year = {1979},
     volume = {41},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1979_41_1_a8/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A theory that takes into account consistently the short- and long-range spatial correlations is constructed on the basis of the wave function of the ground state of liquid $\operatorname{He}^4$ proposed in the first part of the paper; the variational principle and the method of collective variables are used. The short-range part of the wave function is chosen to obtain an exact description of the two-particle cluster. A minimum of the total energy is found under the condition that the long-range correlations do not change the values of the twoparticle distribution function at short distances. This condition ensures a self-consistent description of the two types of correlation and determines the correct nonanalytic longwavelength behavior of the structure factor.

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