Abstract
Recent experiments of Grimeset al. [Phys. Rev. B 41, 6366 (1990)] and Parshinet al. [JETP,74, 68 (1992)] demonstrate a substatial broadening in the 1s-1p transition of a single electron trapped in a liquid helium bubble (“bubblonium”) compared to theoretical predictions based on natural radiative linewidth. We show that the larger observed linewidth can be explained by inhomogeneus broadening due to quantum quadrupole fluctuations in the bubble shape. A simple adiabaticity rule for the bubblonium transitions similar to the Franck-Condon principle for molecular transitions is established. Quantitative estimates of the additional inhomogeneous linewidth atT=0 and 2.2 K are provided. The full theoretical linewidth, due to inhomogeneous and homogeneous broadening, has a Voigt-profile shape, and accounts for the data reasonably well.
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