Abstract
The NMR spin-lattice relaxation time ${\mathit{T}}_{1}$ of a degenerate submonolayer coverage of $^{3}\mathrm{He}$ in a thin adsorbed $^{4}\mathrm{He}$ film has been measured. As a function of $^{4}\mathrm{He}$ coverage, ${\mathit{T}}_{1}$ exhibits a maximum and undergoes a change in temperature dependence at a coverage near that of the superfluid transition in the underlying $^{4}\mathrm{He}$ film. Two relaxation mechanisms contribute to the observed ${\mathit{T}}_{1}$.
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