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An Application of the Information Entropy to Nuclei

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An Application of the Information Entropy to Nuclei (EN)
Massen, S. E.
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
2021-08-30
Shannon's information entropies in position- and momentum-space and their sum $S$ are calculated for various $s$-$p$ and $s$-$d$ 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 $S= s_{0A} + s_{1A} y^{-\lambda_{sA}}$, where $s_{0A}$, $s_{1A}$ and $\lambda_{sA}$ depend on the mass number $A$. 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. (EN)
Annual Symposium of the Hellenic Nuclear Physics Society
English
Hellenic Nuclear Physics Society (HNPS) (EN)
2654-0088
2654-007X
Annual Symposium of the Hellenic Nuclear Physics Society; Τόμ. 12 (2003): HNPS2003; 61-70 (EL)
HNPS Advances in Nuclear Physics; Vol. 12 (2003): HNPS2003; 61-70 (EN)
Πνευματική ιδιοκτησία (c) 2021 S. E. Massen (EL)
Hellenic Nuclear Physics Society
Annual Symposium of the Hellenic Nuclear Physics Society
Oral contributions



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