Scaling Properties of the Giant Dipole Resonance Width in Hot Rotating Nuclei

We study the systematics of the giant dipole resonance width $\Gamma$ in hot rotating nuclei as a function of temperature $T$, spin $J$, and mass $A$. We compare available experimental results with theoretical calculations that include thermal shape fluctuations in nuclei ranging from $A=45\mathrm{}$ to $A=208\mathrm{}$. Using the appropriate scaled variables, we find a simple phenomenological function $\Gamma (A,T,J)$ which approximates the global behavior of the giant dipole resonance width in the liquid drop model. We reanalyze recent experimental and theoretical results for the resonance width in Sn isotopes and ${}^{208}\mathrm{Pb}$.