Abstract:
For a binary mixture of nonideal Bose gases (or liquids) the method of
collective variables [1] is used to construct a perturbation theory,
and the corrections of lowest order to the wave function and energy of
the ground state are found. For the model of a “hard-sphere pseudopotential” (and the use of the zeroth approximation [1]) the results of computer experiments are given. It has been established numerically that for any density and concentration of the admixture (second
component) and arbitrary (but allowed by the theory of [1]) scattering
lengths a binary Bose mixture does not separate. The application of the theory to $\mathrm {He}^4$ and $\mathrm D_2$ or $\mathrm {He}^4$ and $\mathrm {HT}$.