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- W1971082970 abstract "Shannon's information entropies in position and momentum space and their sum S are calculated for various $sensuremath{-}p$ and $sensuremath{-}d$ shell nuclei using a correlated one-body density matrix depending on the harmonic oscillator size ${b}_{0}$ and the short range correlation parameter y which originates from a Jastrow correlation function. It is found that the information entropy sum for a nucleus depends only on the correlation parameter y through the simple relation ${S=s}_{0A}{+s}_{1A}{y}^{ensuremath{-}{ensuremath{lambda}}_{mathrm{sA}}},$ where ${s}_{0A},$ ${s}_{1A},$ and ${ensuremath{lambda}}_{mathrm{sA}}$ depend on the mass number A. A similar approximate expression is also valid for the root-mean-square radius of the nucleus as function of y leading to an approximate expression which connects S with the root-mean-square radius. Finally, we propose a method to determine the correlation parameter from the above property of S as well as the linear dependence of S on the logarithm of the number of nucleons." @default.
- W1971082970 created "2016-06-24" @default.
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- W1971082970 date "2003-01-22" @default.
- W1971082970 modified "2023-10-18" @default.
- W1971082970 title "Application of information entropy to nuclei" @default.
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- W1971082970 doi "https://doi.org/10.1103/physrevc.67.014314" @default.
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