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Title: Scaling functions and superscaling in medium and heavy nuclei

Abstract

The scaling function f({psi}{sup '}) for medium and heavy nuclei with Z{ne}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 {sup 62}Ni, {sup 82}Kr, {sup 118}Sn, and {sup 197}Au nuclei on the basis of the corresponding proton and neutron density distributions, which are obtained in the deformed self-consistent mean-field Skyrme HF+BCS method. The results are in reasonable agreement with the empirical data from the inclusive electron scattering from nuclei showing superscaling for negative values of {psi}{sup '}, including those smaller than -1. This is an improvement over the relativistic Fermi gas model predictions where f({psi}{sup '}) becomes abruptly zero for {psi}{sup '}{<=}-1. It is also an improvement over the CDFM calculations made in the past for nuclei with Z{ne}N assuming that the neutron density is equal to the proton one and using only the phenomenological charge density.

Authors:
; ;  [1];  [2];  [3];  [2];  [4]
  1. Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia BG-1784 (Bulgaria)
  2. Instituto de Estructura de la Materia, CSIC, Serrano 123, E-28006 Madrid (Spain)
  3. (Spain)
  4. Departamento de Fisica Atomica, Molecular y Nuclear, Facultad de Ciencias Fisicas, Universidad Complutense de Madrid, E-28040 Madrid (Spain)
Publication Date:
OSTI Identifier:
20771503
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 73; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevC.73.047302; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CHARGE DENSITY; DISTRIBUTION; ELECTRON REACTIONS; ELECTRONS; FERMI GAS MODEL; FLUCTUATIONS; GOLD 197; KRYPTON 82; MEAN-FIELD THEORY; NEUTRON DENSITY; NEUTRONS; NICKEL 62; PROTON DENSITY; PROTONS; RELATIVISTIC RANGE; SCATTERING; SKYRME POTENTIAL; TIN 118

Citation Formats

Antonov, A.N., Ivanov, M.V., Gaidarov, M.K., Moya de Guerra, E., Departamento de Fisica Atomica, Molecular y Nuclear, Facultad de Ciencias Fisicas, Universidad Complutense de Madrid, E-28040 Madrid, Sarriguren, P., and Udias, J.M. Scaling functions and superscaling in medium and heavy nuclei. United States: N. p., 2006. Web. doi:10.1103/PhysRevC.73.047302.
Antonov, A.N., Ivanov, M.V., Gaidarov, M.K., Moya de Guerra, E., Departamento de Fisica Atomica, Molecular y Nuclear, Facultad de Ciencias Fisicas, Universidad Complutense de Madrid, E-28040 Madrid, Sarriguren, P., & Udias, J.M. Scaling functions and superscaling in medium and heavy nuclei. United States. doi:10.1103/PhysRevC.73.047302.
Antonov, A.N., Ivanov, M.V., Gaidarov, M.K., Moya de Guerra, E., Departamento de Fisica Atomica, Molecular y Nuclear, Facultad de Ciencias Fisicas, Universidad Complutense de Madrid, E-28040 Madrid, Sarriguren, P., and Udias, J.M. Sat . "Scaling functions and superscaling in medium and heavy nuclei". United States. doi:10.1103/PhysRevC.73.047302.
@article{osti_20771503,
title = {Scaling functions and superscaling in medium and heavy nuclei},
author = {Antonov, A.N. and Ivanov, M.V. and Gaidarov, M.K. and Moya de Guerra, E. and Departamento de Fisica Atomica, Molecular y Nuclear, Facultad de Ciencias Fisicas, Universidad Complutense de Madrid, E-28040 Madrid and Sarriguren, P. and Udias, J.M.},
abstractNote = {The scaling function f({psi}{sup '}) for medium and heavy nuclei with Z{ne}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 {sup 62}Ni, {sup 82}Kr, {sup 118}Sn, and {sup 197}Au nuclei on the basis of the corresponding proton and neutron density distributions, which are obtained in the deformed self-consistent mean-field Skyrme HF+BCS method. The results are in reasonable agreement with the empirical data from the inclusive electron scattering from nuclei showing superscaling for negative values of {psi}{sup '}, including those smaller than -1. This is an improvement over the relativistic Fermi gas model predictions where f({psi}{sup '}) becomes abruptly zero for {psi}{sup '}{<=}-1. It is also an improvement over the CDFM calculations made in the past for nuclei with Z{ne}N assuming that the neutron density is equal to the proton one and using only the phenomenological charge density.},
doi = {10.1103/PhysRevC.73.047302},
journal = {Physical Review. C, Nuclear Physics},
number = 4,
volume = 73,
place = {United States},
year = {Sat Apr 15 00:00:00 EDT 2006},
month = {Sat Apr 15 00:00:00 EDT 2006}
}