Consequences of the center-of-mass correction in nuclear mean-field models
M. Bender1,2,3 - K. Rutz3 - P.-G. Reinhard4,5 - J.A. Maruhn3,5
1 Department of Physics and Astronomy, The University of Tennessee, Knoxville, TN 37996, USA
2 Department of Physics and Astronomy, The University of North Carolina, Chapel Hill, NC 27516, USA
3 Institut für Theoretische Physik, Universität Frankfurt, Robert-Mayer-Str. 10, 60325 Frankfurt
am Main, Germany
4 Institut für Theoretische Physik II, Universität Erlangen-Nürnberg, Staudtstr. 7, 91058
Erlangen, Germany
5 Joint Institute for Heavy-Ion Research, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, TN
37831, USA
Received: 6 September 1999 Communicated by P. Schuck
Abstract
We study the influence of the scheme for the correction for spurious
center-of-mass motion on the fit of effective interactions
for self-consistent nuclear mean-field calculations.
We find that interactions with very simple center-of-mass correction
have significantly larger surface coefficients than interactions
for which the center-of-mass correction was calculated for
the actual many-body state during the fit. The reason for that is
that the effective interaction has to counteract the wrong trends with
nucleon number of all simplified schemes for center-of-mass correction
which puts a wrong trend with mass number into the effective interaction
itself. The effect becomes clearly visible when looking at the deformation
energy of largely deformed systems, e.g. superdeformed states or fission
barriers of heavy nuclei.
PACS
21.60.Jz Hartree-Fock and random-phase approximations -
21.30.Fe Forces in hadronic systems and effective interactions -
21.65.+f Nuclear matter -
24.10.Jv Relativistic models
Copyright Società Italiana di Fisica, Springer-Verlag 2000
