Polaronic aspects of spin polarized hydrogen of films of liquid He

We have studied the interaction of a collection of 2-D spin polarized hydrogen (H↓) atoms with the ripplon modes of a superfluid liquid helium film. From the deformation correction to the effective H↓He potential we derive the H↓-ripplon interaction Hamiltonian. We find that a weak coupling polaron state can form and we make specific predictions for the change in H↓ energy and effective mass which arise as a consequence. We also make a direct comparison (in coordinate space) of the ripplon mediated ↓-H↓ interaction, V_R(r), with the usual H↓H↓ interaction V(r).