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 selfconsistent meanfield 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:
 Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia BG1784 (Bulgaria)
 Instituto de Estructura de la Materia, CSIC, Serrano 123, E28006 Madrid (Spain)
 (Spain)
 Departamento de Fisica Atomica, Molecular y Nuclear, Facultad de Ciencias Fisicas, Universidad Complutense de Madrid, E28040 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; MEANFIELD 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, E28040 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, E28040 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, E28040 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, E28040 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 selfconsistent meanfield 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}
}

Superscaling, scaling functions, and nucleon momentum distributions in nuclei
The scaling functions f({psi}{sup '}) and F(y) from the {psi}{sup '} and yscaling 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 onebody 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}{sup '} scaling. Both functions, f({psi}{sup '}) and F(y), are calculated using different NMDs and comparedmore » 
Evidence of multiplicity scaling of medium energy protons emitted in relativistic heavy ion collisions and antiproton annihilation in nuclei
This paper presents an interesting observation, i.e., KobaNeilsenOlesentype scaling in the multiplicity distribution of medium energy protons emitted as a result of /sup 12/CAgBr (emulsion) and central /sup 24/MgAgBr (emulsion) interactions at 4.5A GeV/c and pbarAgBr (emulsion) reactions at 1.4 GeV/c. In all cases, the experimental points lie on the universal curve which can be fitted with a KobaNeilsenOlesentype scaling function psi(Z = n/sub p//) = (4Z+4Z/sup 3/5Z/sup 5/+0.35Z/sup 7/)exp(2.957Z). .AE 57Z). .AE 
Extraction of structure functions from quasielastic electron scattering (e,e{sup '}) off medium and heavy nuclei
Using a relativistic meanfield singleparticle knockout model for (e,e{sup '}) reactions on nuclei, we investigate approximate treatments of Coulomb distortion effects and the extraction of longitudinal and transverse structure functions. We show that an effective momentum approximation when coupled with a focusing factor provides a good description of the transverse contributions to the (e,e{sup '}) cross sections for electron energies above 300 MeV on {sup 208}Pb. This approximation is not as good for the longitudinal contributions even for incident electron energies above 1 GeV, and if one requires very precise extraction of longitudinal and transverse structure functions in the quasielasticmore » 
Relativistic descriptions of inclusive quasielastic electron scattering: Application to scaling and superscaling ideas
An analysis of inclusive quasielastic electron scattering is presented using different descriptions of the finalstate interactions within the framework of the relativistic impulse approximation. The relativistic Green's function approach is compared with calculations based on the use of relativistic purely real meanfield potentials in the final state. Both approaches lead to a redistribution of the strength but conserving the total flux. Results for the differential cross section at different energies are presented. Scaling properties are also analyzed and discussed.