A system of N atoms of liquid 4He is under consideration. The calculation of the one-particle density matrix based on the pair correlation function method is presented. Number of terms is factorized and summized with extracting the small terms. The results obtained have the form of the two terms sum where the first term have the structure similar to the density matrix of ideal bose-gas. The equations for calculating the temperature of bose-condensation are presented.Comments: Figs. 0, Refs. 11, Tabs. 0.
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