https://doi.org/10.1140/epja/i2009-10869-3
Regular Article - Theoretical Physics
Shell corrections to a liquid-drop description of nuclear masses and radii
1
Kernfysisch Versneller Instituut, NL-9747AA, Groningen, The Netherlands
2
Grand Accélérateur National d’Ions Lourds, CEA/DSM-CNRS/IN2P3, BP 55027, F-14076, Caen Cedex 5, France
* e-mail: dieperink@kvi.nl
Received:
26
May
2009
Revised:
18
August
2009
Accepted:
2
September
2009
Published online:
27
September
2009
It is shown that a consistent treatment of nuclear bulk and surface effects leads to an improved version of the liquid-drop mass formula with modified symmetry and Coulomb terms. If in addition shell effects are modelled through the counting of the number of valence nucleons, a very simple mass formula is obtained with an rms deviation from the 2003 database of atomic masses of about 800keV. As an application, the volume and surface symmetry energy for A
∞ are determined. A similar description of nuclear radii is suggested with specific reference to the neutron skin.
PACS: 21.10.Dr Binding energies and masses – / 21.10.Ft Charge distribution – / 21.10.Gv Nucleon distributions and halo features –
© SIF, Springer-Verlag Berlin Heidelberg, 2009