dorsal/arxiv
View SchemaSuperscaling, Scaling Functions and Nucleon Momentum Distributions in Nuclei
| Authors | A. N. Antonov, M. K. Gaidarov, M. V. Ivanov, D. N. Kadrev, E. Moya de Guerra, P. Sarriguren, J. M. Udias |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0411100 |
| URL | https://arxiv.org/abs/nucl-th/0411100 |
| DOI | 10.1103/PhysRevC.71.014317 |
| Journal | Phys.Rev. C71 (2005) 014317 |
Abstract
The scaling functions $f(\psi')$ and $F(y)$ from the $\psi'$- and $y$-scaling analyses of inclusive electron scattering from nuclei are explored within the coherent density fluctuation model (CDFM). In addition to the CDFM formulation in which the local density distribution is used, we introduce a new equivalent formulation of the CDFM based on the one-body nucleon momentum distribution (NMD). Special attention is paid to the different ways in which the excitation energy of the residual system is taken into account in $y$- and $\psi'$-scaling. Both functions, $f(\psi')$ and $F(y)$, are calculated using different NMD's and are compared with the experimental data for a wide range of nuclei. The good description of the data for $y < 0$ and $\psi' < 0$ (including $\psi'< -1$) makes it possible to show the sensitivity of the calculated scaling functions to the peculiarities of the NMD's in different regions of momenta. It is concluded that the existing data on the $\psi'$- and $y$-scaling are informative for the NMD's at momenta not larger than $2.0 \div 2.5$ fm$^{-1}$. The CDFM allows us to study simultaneously on the same footing the role of both basic quantities, the momentum and density distributions, for the description of scaling and superscaling phenomena in nuclei.
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"abstract": "The scaling functions $f(\\psi\u0027)$ and $F(y)$ from the $\\psi\u0027$- and $y$-scaling\nanalyses of inclusive electron scattering from nuclei are explored within the\ncoherent density fluctuation model (CDFM). In addition to the CDFM formulation\nin which the local density distribution is used, we introduce a new equivalent\nformulation of the CDFM based on the one-body nucleon momentum distribution\n(NMD). Special attention is paid to the different ways in which the excitation\nenergy of the residual system is taken into account in $y$- and\n$\\psi\u0027$-scaling. Both functions, $f(\\psi\u0027)$ and $F(y)$, are calculated using\ndifferent NMD\u0027s and are compared with the experimental data for a wide range of\nnuclei. The good description of the data for $y \u003c 0$ and $\\psi\u0027 \u003c 0$ (including\n$\\psi\u0027\u003c -1$) makes it possible to show the sensitivity of the calculated\nscaling functions to the peculiarities of the NMD\u0027s in different regions of\nmomenta. It is concluded that the existing data on the $\\psi\u0027$- and $y$-scaling\nare informative for the NMD\u0027s at momenta not larger than $2.0 \\div 2.5$\nfm$^{-1}$. The CDFM allows us to study simultaneously on the same footing the\nrole of both basic quantities, the momentum and density distributions, for the\ndescription of scaling and superscaling phenomena in nuclei.",
"arxiv_id": "nucl-th/0411100",
"authors": [
"A. N. Antonov",
"M. K. Gaidarov",
"M. V. Ivanov",
"D. N. Kadrev",
"E. Moya de Guerra",
"P. Sarriguren",
"J. M. Udias"
],
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"nucl-th"
],
"doi": "10.1103/PhysRevC.71.014317",
"journal_ref": "Phys.Rev. C71 (2005) 014317",
"title": "Superscaling, Scaling Functions and Nucleon Momentum Distributions in Nuclei",
"url": "https://arxiv.org/abs/nucl-th/0411100"
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