Abstract
We study the scaling properties of proton-nucleus total reaction cross sections for stable nuclei and propose an approximate expression in proportion to ${Z}^{2/3}{\ensuremath{\sigma}}_{\mathit{pp}}^{\mathrm{total}}+{N}^{2/3}{\ensuremath{\sigma}}_{\mathit{pn}}^{\mathrm{total}}$. Based on this expression, we can derive a relation that enables us to predict a total reaction cross section for any stable nucleus within $10%$ uncertainty at most, using the empirical value of the total reaction cross section of a given nucleus.
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