Quantum discord and entanglement in radiative capture reactions
Abstract
This paper presents a comprehensive investigation of quantum correlations in radiative-capture reactions through a unified lens of quantum information theory and nuclear physics. By combining density matrix formulations with open quantum system dynamics, we can establish universal scaling laws governing the relationship between quantum discord (D), entanglement entropy (S), and fundamental nuclear properties. The analysis reveals the inverse power-law dependencies \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$D \propto \Gamma ^{-0.83 \pm 0.04}$$\end{document} and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S \propto \Gamma ^{-1.12 \pm 0.06}$$\end{document} between these quantum metrics and the decay width (\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Gamma$$\end{document}), maintained across fourteen nuclear systems spanning six decades in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym}…
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