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Based on the collective variables representation with the Hermitian form ofBogoliubov-Zubarev Hamiltonian the self-consistent oscillator model of a groundstate and excited states of Bose liquid has been proposed. The new method ofcalculation of anharmonic terms in this Hamiltonian and its interpretation havebeen presented. The dispersion equation for a collective excitation in asuperfluid $^{4}$He has been obtained in self-consistent way, where real andvirtual processes of decay of a collective excitation were considered. The endpoint, determined by a threshold of collective excitation's decay on tworotons, of the dispersion curve has been obtained and it was shown that thedispersion curve strongly depends on property of its stability. An approachwith a structure factor has been realized without using of any adaptionparameters. Based on the oscillator model the new method of self-consistentcalculation of a ground state energy and density of Bose condensate has beenproposed. The model of suppression of Bose condensate has been presented.

The self-consistent microscopic model of an energy spectrum of a superfluity $^{4}$He with the Hermitian form of Bogoliubov-Zubarev Hamiltonian