Abstract
The interaction between an exciton and acoustic phonons via the deformation potential in PbS nanocrystals is calculated in the $\mathbf{k}\ifmmode\cdot\else\textperiodcentered\fi{}\mathbf{p}$ model. It is shown that the anisotropy of the deformation potential leads to nonzero interaction of an exciton with spheroidal phonons with the total angular momentum $j=2$. The size dependence of the Huang-Rhys factors for the fundamental breathing mode and its overtones as well as for spheroidal vibrations with the total angular momentum $j=2$ is evaluated.
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