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Current issue   Ukr. J. Phys. 2015, Vol. 60, N 11, p.1115-1125
https://doi.org/10.15407/ujpe60.11.1115    Paper

Vakarchuk I.O., Hryhorchak O.I.

Ivan Franko National University of Lviv
(12, Dragomanov Str., Lviv 79005, Ukraine; e-mail: chair@franko.lviv.ua)

Structure Functions of Many-Boson System with regard for Direct Three- and Four-Particle Correlations

Section: Soft matter
Original Author's Text: Ukrainian

Abstract: On the basis of the expression for the density matrix of interacting Bose particles in the coordinate representation with regard for the direct three- and four-particle correlations [I.O. Vakarchuk and O.I. Hryhorchak, J. Phys. Stud. 3, 3005 (2009)], the two-, three-, and four-particle structure factors of liquid 4He in a wide temperature interval were calculated in the approximation “one sum over the wave vector”. In the low-temperature limit, the expres-sion obtained for the two-particle structure factor transforms into the well-known one. In the high-temperature limit, the expressions for the two-, three-, and four-particle structure factors are reduced to those for the ideal Bose gas. The results obtained can be applied to calculations of the thermodynamic functions of liquid 4He and to the determination of the temperature dependence of the first-sound velocity in a many-boson system.

Key words: liquid 4He, structure factor.

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