{ "id": "nucl-th/0603048", "version": "v1", "published": "2006-03-20T14:30:36.000Z", "updated": "2006-03-20T14:30:36.000Z", "title": "Scaling 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" ], "comment": "4 pages, 1 figure, ReVTeX, accepted for publication in Phys. Rev. C", "journal": "Phys.Rev. C73 (2006) 047302; Erratum-ibid. C73 (2006) 059901", "doi": "10.1103/PhysRevC.73.047302", "categories": [ "nucl-th" ], "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.", "revisions": [ { "version": "v1", "updated": "2006-03-20T14:30:36.000Z" } ], "analyses": { "subjects": [ "25.30.Fj", "21.10.Ft", "21.60.-n", "21.10.Gv" ], "keywords": [ "heavy nuclei", "coherent density fluctuation model", "superscaling", "deformed self-consistent mean-field skyrme", "relativistic fermi gas" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. C" }, "note": { "typesetting": "RevTeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "inspire": 712768 } } }