Impurities coupled with collective excitations of Bose-Einstein condensates lead to the emergence of Bose polarons. In this paper, we investigate the properties of a single impurity immersed in binary Bose-Einstein condensates in the framework of the Lee-Low-Pines variational approach.We derive an effective Fröhlich Hamiltonian with two kinds of effective impurity-phonon interactions, i.e., the interactions of the impurity-density branch and impurity-spin branch. The stability criterion against phase separation limits the impurity-spin branch's behavior. We show that the Bose polaron in a small momentum has explicit analytical results in single and interacting binary baths. In the case of bosons with equal mass, we find the polaron properties are proportional or inversely proportional to √ a +(−) , a +(−) is a reduced scattering length of density branch (+) and spin branch (−). Whereas in the case of unequal mass bosons, we illustrate that the density and spin branch can transform each other via a permutation of mass of two kinds of bosons. These integral results provide fundamental understandings of behaviors of polarons in Bose baths with multiple components.
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