Open Access
ND 2007
Article Number 045
Number of page(s) 4
Section Theoritical studies
Published online 17 June 2008
International Conference on Nuclear Data for Science and Technology 2007
DOI: 10.1051/ndata:07309

Deviation of nuclear radii from a smooth A dependence for neutron data

F.S. Dietrich1, J.D. Anderson1, R.W. Bauer1, M. Girod2, D. Gogny1, S.M. Grimes3, S. Hilaire2 and D.P. McNabb1

1  Lawrence Livermore National Laboratory, Livermore, CA 94550, USA
2  CEA/DAM Île-de-France, DPTA/SPN, BP. 12, 91680 Bruyères-le-Châtel, France
3  Ohio University, Athens, OH 45701, USA

Published online: 21 May 2008

Experimental values for r.m.s. charge density radii show deviations from a simple A1/3 dependence of several percent for statically deformed nuclei and around shell closures. These data, for both stable nuclei and nuclei away from the valley of stability, are well described by Hartree-Fock-Bogolyubov calculations carried out at Bruyères-le-Châtel. By using the neutron and proton r.m.s. radii from these same HFB calculations in conjunction with a folding model to produce an optical potential, we can then predict the expected results from neutron scattering experiments. We have made a detailed study of this procedure in the A = 40-70 mass range. The calculated 14-MeV neutron nonelastic and total cross sections show deviations of several percent from a smooth dependence on A. We conclude that using mean field - folding model calculations is useful for estimating neutron cross sections on nuclei both on and away from the valley of stability.

© CEA 2008