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Title: Reaction cross sections for collisions involving exotic light nuclei within the glauber approach

Abstract

The reaction cross sections for the interaction of exotic nuclei {sup 6}He and {sup 11}Li with {sup 12}C nuclei are calculated for energies of about 0.8 GeV per nucleon. The cross sections calculated by the exact Glauber formula are compared with their counterparts found by using the formulas of the optical limit, the rigidtarget approximation, and the few-body approximation. The effect of the structure of the nuclei being considered on the calculated cross sections is examined. The root-mean-square radii of the {sup 6}He and {sup 11}Li nuclei are estimated on the basis of experimental data on the cross sections for the interaction of these exotic nuclei with {sup 12}C nuclei.

Authors:
;  [1]
  1. Russian Academy of Sciences, Petersburg Nuclear Physics Institute (Russian Federation)
Publication Date:
OSTI Identifier:
21075966
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Atomic Nuclei; Journal Volume: 70; Journal Issue: 1; Other Information: DOI: 10.1134/S1063778807010103; Copyright (c) 2007 Nauka/Interperiodica; Article Copyright (c) 2007 Pleiades Publishing, Ltd; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; APPROXIMATIONS; ATOM-ATOM COLLISIONS; CARBON 12 TARGET; COMPUTER CALCULATIONS; CROSS SECTIONS; GLAUBER THEORY; HELIUM 6; INTERACTIONS; LITHIUM 11; MEV RANGE 100-1000; NUCLEONS

Citation Formats

Alkhazov, G. D., and Lobodenko, A. A. Reaction cross sections for collisions involving exotic light nuclei within the glauber approach. United States: N. p., 2007. Web. doi:10.1134/S1063778807010103.
Alkhazov, G. D., & Lobodenko, A. A. Reaction cross sections for collisions involving exotic light nuclei within the glauber approach. United States. doi:10.1134/S1063778807010103.
Alkhazov, G. D., and Lobodenko, A. A. Mon . "Reaction cross sections for collisions involving exotic light nuclei within the glauber approach". United States. doi:10.1134/S1063778807010103.
@article{osti_21075966,
title = {Reaction cross sections for collisions involving exotic light nuclei within the glauber approach},
author = {Alkhazov, G. D. and Lobodenko, A. A.},
abstractNote = {The reaction cross sections for the interaction of exotic nuclei {sup 6}He and {sup 11}Li with {sup 12}C nuclei are calculated for energies of about 0.8 GeV per nucleon. The cross sections calculated by the exact Glauber formula are compared with their counterparts found by using the formulas of the optical limit, the rigidtarget approximation, and the few-body approximation. The effect of the structure of the nuclei being considered on the calculated cross sections is examined. The root-mean-square radii of the {sup 6}He and {sup 11}Li nuclei are estimated on the basis of experimental data on the cross sections for the interaction of these exotic nuclei with {sup 12}C nuclei.},
doi = {10.1134/S1063778807010103},
journal = {Physics of Atomic Nuclei},
number = 1,
volume = 70,
place = {United States},
year = {Mon Jan 15 00:00:00 EST 2007},
month = {Mon Jan 15 00:00:00 EST 2007}
}
  • We have calculated the total nuclear reaction cross sections of exotic nuclei in the framework of the Glauber model, using as inputs the standard relativistic mean field (RMF) densities and the densities obtained from the more recently developed effective-field-theory-motivated RMF (the E-RMF). Both light and heavy nuclei are taken as the representative targets, and the light neutron-rich nuclei as projectiles. We found the total nuclear reaction cross section to increase as a function of the mass number, for both the target and projectile nuclei. The differential nuclear elastic scattering cross sections are evaluated for some selected systems at various incidentmore » energies. We found a large dependence of the differential elastic scattering cross section on incident energy. Finally, we have applied the same formalism to calculate both the total nuclear reaction cross section and the differential nuclear elastic scattering cross section for the recently discussed superheavy nucleus with atomic number Z=122.« less
  • Total reaction cross sections and elastic scattering angular distributions for light exotic nuclei are calculated using both the double-folding model at low energies and the Glauber approximation at intermediate energies.
  • Reaction cross sections have been measured at energies ranging from 50 to 70 MeV/nucleon for a variety of exotic neutron rich isotopes of Ar, K, Ca, and Sc. A method where Si detectors are used also as targets has been utilized for the measurements. The strong absorption radii r{sub 0}{sup 2} have been determined and compared to the results of Glauber-type calculations which used density distributions extracted from the relativistic mean field theory. The isospin dependence of the radii was investigated and a trend similar to the one for lighter nuclei has been observed. The possible existence of halo ormore » skin nuclei has also been addressed. {copyright} {ital 1997} {ital The American Physical Society}« less
  • Total reaction cross sections of neutron-rich nuclei from C to Mg in a thick Si target have been measured by the detection of the associated ..gamma.. rays in a 4..pi.. geometry. This cross section strongly increases with neutron excess, indicating an increase of as much as 15% of the reduced strong absorption radius with respect to stable nuclei.
  • Proton and neutron densities from Skyrme-Hartree-Fock calculations of a number of nuclei with masses ranging from 28 to 58 have been used to generate optical potentials for proton elastic scattering. Those potentials, generated by folding the structure functions with effective in-medium nucleon-nucleon (NN) interactions, have been used to evaluate proton total reaction cross sections; cross sections that reveal signatures of the structures.