Scaling functions and superscaling in medium and heavy nuclei

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A. N. Antonov,¹ M. V. Ivanov,¹ M. K. Gaidarov,¹ E. Moya de Guerra,^2,3 P. Sarriguren,² and J. M. Udias³
¹Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia BG-1784, Bulgaria
²Instituto de Estructura de la Materia, CSIC, Serrano 123, E-28006 Madrid, Spain
³Departamento de Fisica Atomica, Molecular y Nuclear, Facultad de Ciencias Fisicas, Universidad Complutense de Madrid, E-28040 Madrid, Spain

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Received 20 February 2006; published 14 April 2006

Thescaling function f( psi ^') for medium and heavy nuclei with Z [not-equal] Nfor which the proton and neutron densities are not similaris constructed within the coherent density fluctuation model (CDFM) asa sum of the proton and neutron scaling functions. Thelatter are calculated in the cases of ⁶²Ni, ⁸²Kr, ¹¹⁸Sn,and ¹⁹⁷Au nuclei on the basis of the corresponding protonand neutron density distributions, which are obtained in the deformedself-consistent mean-field Skyrme HF+BCS method. The results are in reasonableagreement with the empirical data from the inclusive electron scatteringfrom nuclei showing superscaling for negative values of psi ^', includingthose smaller than -1. This is an improvement over therelativistic Fermi gas model predictions where f( psi ^') becomes abruptly zerofor psi ^'-1. It is also an improvement over the CDFMcalculations made in the past for nuclei with Z [not-equal] N assumingthat the neutron density is equal to the proton oneand using only the phenomenological charge density.

URL:	http://link.aps.org/doi/10.1103/PhysRevC.73.047302
DOI:	10.1103/PhysRevC.73.047302
PACS:	25.30.Fj; 21.60.-n; 21.10.Ft; 21.10.Gv 25.30.Fj Nuclear inelastic electron scattering to continuum 21.60.-n Nuclear structure models and methods 21.10.Ft Nuclear charge distribution 21.10.Gv Nuclear mass and neutron distributions YEAR: 2006
KEYWORDS:	nuclear density, nuclear field theory, HF calculations, BCS theory, deformed nuclei, nuclei with mass number 59 to 89, nuclei with mass number 90 to 149, nuclei with mass number 190 to 219, electron-nucleus reactions

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Erratum

Erratum: Scaling functions and superscaling in medium and heavy nuclei [Phys. Rev. C 73, 047302 (2006)]
A. N. Antonov, M. V. Ivanov, M. K. Gaidarov et al.
Phys. Rev. C 73, 059901 (E) (2006)