Universal Aspects of a Strongly Interacting Impurity in a Dilute Bose Condensate

We study the properties of an impurity immersed in a weakly interacting Bose gas, i.e., polaron. In perturbatively-tractable limit weak impurity-boson interactions many its are known to depend only on scattering length. Here we demonstrate that for strong (unitary) all static quasiproperties polaron dilute such as energy, residue, Tan's contact and number bosons trapped nearby impurity, potential via single parameter.