Eur. Phys. J. A (2009) 42: 559-563
https://doi.org/10.1140/epja/i2009-10789-2

Regular Article - Theoretical Physics

Charge radii in modern macroscopic-microscopic mass models: The role of dynamic quadrupole deformation

¹ Japan Atomic Energy Agency, 319-1195, Tokai, Ibaraki, Japan
² Physics Department, McGill University, Ernest Rutherford Building, 3600 University St., H3A 2T8, Montréal, Québec, Canada

^* e-mail: iimura.hideki@jaea.go.jp

Received: 25 November 2008
Revised: 20 February 2009
Accepted: 6 April 2009
Published online: 13 May 2009

Abstract

We calculate the charge radii of nuclei in the frame of the finite-range droplet model including axial and reflection asymmetry. In addition, in order to empirically include dynamic contributions into the radius calculations, we use the quadrupole deformation deduced from the experimental B(E2;0₁ ⁺ 2₁ ⁺) value as an input parameter. It is found that the calculated charge radii are in poor agreement with measured charge radii in the mass regions A < 110 and A > 210 . A slight systematic deviation is observed for the difference between model predictions and experiment for 110 < A < 210 . However calculated changes of charge radii along isotope chains are in better agreement with the experimental data when ’s from B(E2;0₁ ⁺ 2₁ ⁺) values are used instead of the model ’s.