2021 Impact factor 3.131
Hadrons and Nuclei
Eur. Phys. J. A 7, 467-478

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

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.

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