  The modified Bogoliubov model where the primordial interaction is replaced by
the t matrix is reinvestigated. It is shown to provide a negative value of the
kinetic energy for a strongly interacting dilute Bose gas, contrary to the
original Bogoliubov model. To clear up the origin of this failure, the correct
values of the kinetic and interaction energies of a dilute Bose gas are
calculated. It is demonstrated that both the problem of the negative kinetic
energy and the ultraviolet divergence, dating back to the well-known paper of
Lee, Yang and Huang, is connected with an inadequate picture of the short-range
boson correlations. These correlations are reconsidered within the
thermodynamically consistent model proposed earlier by the present authors.
Found results are in absolute agreement with the data of the Monte-Carlo
calculations for the hard-sphere Bose gas.
