Polarons in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mrow><mml:mn>60</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>

A simple Su-Schrieffer-Heeger-type model of ${\mathrm{C}}_{60}$ and doped ${\mathrm{C}}_{60}$ is presented. The model is solved numerically in the adiabatic approximation. In the half-filled case the cluster dimerizes, in agreement with experiment and more complicated calculations. When an electron is added to half-filling, a polaron is present in the ground state. This polaron possesses an unusual geometry; it is a loop circling the ${\mathrm{C}}_{60}$ cluster. For two added electrons a bipolaron forms with a similar geometry. It is suggested that this bipolaron may be observable in optical experiments.

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