Microscopical theory, structure of superfluid component and elementary excitation spectrum of the non-relativistic Bose-liquids 4He

In frame of selfconsistent microscopical model of the superfluid non-relativistic Bose liquid 4He with suppressed due to many-particle effects single-particle condensate and intensive pair coherent condensate the ab initio calculation of the spectrum E(p), based on the realistic models for the pair interaction potentials V (r), which has a .nite oscillating Fourier-component, was presented. It was shown that oscillating character of the renormalized Fourier component of the fitting 'hard sphere' and 'semitransparent sphere' pair interacting potentials leads to non-monotonic behavior for the momentum dependence of the renormalized mass operators and, as a consequence, to emerging of the roton minimum in the quasiparticles spectrum E(p), which exactly connected with the .rst largest negative minimum of the renormalized interaction Fourier-component of a pair of bosons.