dorsal/arxiv
View SchemaScaling Functions and Superscaling in Medium and Heavy Nuclei
| Authors | A. N. Antonov, M. V. Ivanov, M. K. Gaidarov, E. Moya de Guerra, P. Sarriguren, J. M. Udias |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0603048 |
| URL | https://arxiv.org/abs/nucl-th/0603048 |
| DOI | 10.1103/PhysRevC.73.047302 10.1103/PhysRevC.73.059901 |
| Journal | Phys.Rev.C73:047302,2006; Erratum-ibid.C73:059901,2006 |
Abstract
The scaling function $f(\psi')$ for medium and heavy nuclei with $Z\neq N$ for which the proton and neutron densities are not similar is constructed within the coherent density fluctuation model (CDFM) as a sum of the proton and neutron scaling functions. The latter are calculated in the cases of $^{62}$Ni, $^{82}$Kr, $^{118}$Sn, and $^{197}$Au nuclei on the basis of the corresponding proton and neutron density distributions which are obtained in deformed self-consistent mean-field Skyrme HF+BCS method. The results are in a reasonable agreement with the empirical data from the inclusive electron scattering from nuclei showing superscaling for negative values of $\psi'$, including those smaller than -1. This is an improvement over the relativistic Fermi gas (RFG) model predictions where $f(\psi')$ becomes abruptly zero for $\psi'\leq -1$. It is also an improvement over the CDFM calculations made in the past for nuclei with $Z\neq N$ assuming that the neutron density is equal to the proton one and using only the phenomenological charge density.
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"abstract": "The scaling function $f(\\psi\u0027)$ for medium and heavy nuclei with $Z\\neq N$\nfor which the proton and neutron densities are not similar is constructed\nwithin the coherent density fluctuation model (CDFM) as a sum of the proton and\nneutron scaling functions. The latter are calculated in the cases of $^{62}$Ni,\n$^{82}$Kr, $^{118}$Sn, and $^{197}$Au nuclei on the basis of the corresponding\nproton and neutron density distributions which are obtained in deformed\nself-consistent mean-field Skyrme HF+BCS method. The results are in a\nreasonable agreement with the empirical data from the inclusive electron\nscattering from nuclei showing superscaling for negative values of $\\psi\u0027$,\nincluding those smaller than -1. This is an improvement over the relativistic\nFermi gas (RFG) model predictions where $f(\\psi\u0027)$ becomes abruptly zero for\n$\\psi\u0027\\leq -1$. It is also an improvement over the CDFM calculations made in\nthe past for nuclei with $Z\\neq N$ assuming that the neutron density is equal\nto the proton one and using only the phenomenological charge density.",
"arxiv_id": "nucl-th/0603048",
"authors": [
"A. N. Antonov",
"M. V. Ivanov",
"M. K. Gaidarov",
"E. Moya de Guerra",
"P. Sarriguren",
"J. M. Udias"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.73.047302 10.1103/PhysRevC.73.059901",
"journal_ref": "Phys.Rev.C73:047302,2006; Erratum-ibid.C73:059901,2006",
"title": "Scaling Functions and Superscaling in Medium and Heavy Nuclei",
"url": "https://arxiv.org/abs/nucl-th/0603048"
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