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By means of Quantum Monte Carlo methods we calculate the binding energy of animpurity immersed in a Bose-Einstein condensate at T = 0. The focus is on theattractive branch of the Bose polaron and on the role played by the massimbalance between the impurity and the surrounding particles. For an impurityresonantly coupled to the bath, we investigate the dependence of the bindingenergy on the mass ratio and on the interaction strength within the medium. Inparticular, we determine the equation of state in the case of a static(infinite mass) impurity, where three-body correlations are irrelevant and theresult is expected to be a universal function of the gas parameter. For themass ratio corresponding to $^{40}$K impurities in a gas of $^{87}$Rb atoms weprovide an explicit comparison with the experimental findings of a recent studycarried out at JILA.

The Bose polaron problem: effect of mass imbalance on binding energy