Abstract
The quadrupole and hexadecapole moments of $^{165}\mathrm{Ho}$ were derived from the hfs of the $3d$ muonic states. The resulting values are ${Q}_{0}=7.44\ifmmode\pm\else\textpm\fi{}0.07$ b and ${\ensuremath{\Pi}}_{0}=0.52\ifmmode\pm\else\textpm\fi{}0.10$ ${\mathrm{b}}^{2}$. The parameters of the nuclear charge distribution were determined. An indication for an angular variation of the skin thickness was found.
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