Abstract
The decay rate of excited surface electron states on liquid helium is theoretically studied. It is shown that at low temperatures the lifetime of the excited states is strongly limited by spontaneous emission of couples of short-wavelength capillary wave quanta (ripplons) induced by the nonlinear interaction Hamiltonian. In contrast to the contribution from the linear terms of the interaction Hamiltonian, the decay rate governed by two-ripplon processes found here cannot be substantially reduced neither by lowering temperature nor by external magnetic field.
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