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We proposed the non-perturbative scheme for calculation of the impurityspectrum in the Bose system at zero temperature. The method is based on thepath-integral formulation and describes an impurity as a zero-density idealFermi gas interacting with Bose system for which the action is written in termsof density fluctuations. On the example of the $^3$He atom immersed in theliquid helium-4 a good consistency with experimental data and results of MonteCarlo simulations is shown.

Impurity self-energy in the strongly-correlated Bose systems