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The detailed mean-field treatment of the Bose polaron problem in two andthree dimensions is presented. Particularly, assuming that impurity is immersedin the dilute Bose gas and interacts with bosons via the hard-sphere two-bodypotential, we calculate the low-momentum parameters of its spectrum, namely,the binding energy and the effective mass. The limits of applicability of themean-field approach to a problem of mobile impurity in Bose-Einsteincondensates are discussed by comparing our results to the Monte Carlosimulations data.

Mean-field study of repulsive 2D and 3D Bose polarons