dorsal/arxiv
View SchemaInformation entropy and nucleon correlations in nuclei
| Authors | S. E. Massen, V. P. Psonis, A. N. Antonov |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0502047 |
| URL | https://arxiv.org/abs/nucl-th/0502047 |
| DOI | 10.1142/S0218301305003843 |
| Journal | Int.J.Mod.Phys. E14 (2005) 1251-1267 |
Abstract
The information entropies in coordinate and momentum spaces and their sum ($S_r$, $S_k$, $S$) are evaluated for many nuclei using "experimental" densities or/and momentum distributions. The results are compared with the harmonic oscillator model and with the short-range correlated distributions. It is found that $S_r$ depends strongly on $\ln A$ and does not depend very much on the model. The behaviour of $S_k$ is opposite. The various cases we consider can be classified according to either the quantity of the experimental data we use or by the values of $S$, i.e., the increase of the quality of the density and of the momentum distributions leads to an increase of the values of $S$. In all cases, apart from the linear relation $S=a+b\ln A$, the linear relation $S=a_V+b_V \ln V$ also holds. V is the mean volume of the nucleus. If $S$ is considered as an ensemble entropy, a relation between $A$ or $V$ and the ensemble volume can be found. Finally, comparing different electron scattering experiments for the same nucleus, it is found that the larger the momentum transfer ranges, the larger the information entropy is. It is concluded that $S$ could be used to compare different experiments for the same nucleus and to choose the most reliable one.
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"abstract": "The information entropies in coordinate and momentum spaces and their sum\n($S_r$, $S_k$, $S$) are evaluated for many nuclei using \"experimental\"\ndensities or/and momentum distributions. The results are compared with the\nharmonic oscillator model and with the short-range correlated distributions. It\nis found that $S_r$ depends strongly on $\\ln A$ and does not depend very much\non the model. The behaviour of $S_k$ is opposite. The various cases we consider\ncan be classified according to either the quantity of the experimental data we\nuse or by the values of $S$, i.e., the increase of the quality of the density\nand of the momentum distributions leads to an increase of the values of $S$. In\nall cases, apart from the linear relation $S=a+b\\ln A$, the linear relation\n$S=a_V+b_V \\ln V$ also holds. V is the mean volume of the nucleus. If $S$ is\nconsidered as an ensemble entropy, a relation between $A$ or $V$ and the\nensemble volume can be found. Finally, comparing different electron scattering\nexperiments for the same nucleus, it is found that the larger the momentum\ntransfer ranges, the larger the information entropy is. It is concluded that\n$S$ could be used to compare different experiments for the same nucleus and to\nchoose the most reliable one.",
"arxiv_id": "nucl-th/0502047",
"authors": [
"S. E. Massen",
"V. P. Psonis",
"A. N. Antonov"
],
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"doi": "10.1142/S0218301305003843",
"journal_ref": "Int.J.Mod.Phys. E14 (2005) 1251-1267",
"title": "Information entropy and nucleon correlations in nuclei",
"url": "https://arxiv.org/abs/nucl-th/0502047"
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