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The one-level R-matrix approach is used to calculate alpha decay widths for several low-lying ${0}^{+}$, ${2}^{+}$, and ${4}^{+}$ excited states of the $^{16}\mathrm{O}$ nucleus. The interior wave functions are calculated within the ZBM (${\mathit{p}}_{1/2}$,${\mathit{d}}_{5/2}$,${\mathit{s}}_{1/2}$) shell-model space with various effective interactions. The exterior wave functions are calculated from an \ensuremath{\alpha}${+}^{12}$C folding model potential obtained with the M3Y interaction. A new method for calculating the channel radius using the matching of the interior and exterior wave functions in the \ensuremath{\alpha}-decay channel is presented.