Power-Law Intensity Distribution of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>γ</mml:mi></mml:math> -Decay Cascades: Nuclear Structure as a Scale-Free Random Network

By modeling the transition paths of nuclear $\ensuremath{\gamma}$-decay cascade using a scale-free random network, we uncover universal power-law distribution $\ensuremath{\gamma}$-ray intensity ${\ensuremath{\rho}}_{I}(I)\ensuremath{\propto}{I}^{\ensuremath{-}2}$, with $I$ each transition. This property is consistently observed for all datasets sufficient number entries in National Nuclear Data Center database, regardless reaction type or nuclei involved. In addition, perform numerical simulations that support model's predictions level population density.