2020 Impact factor 3.043
Hadrons and Nuclei


Eur. Phys. J. A 14, 413-438 (2002)
DOI: 10.1140/epja/i2001-10210-4

Some considerations on the restoration of Galilei invariance in the nuclear many-body problem

Part III: Energies of simple bound states
K.W. Schmid

Institut für Theoretische Physik der Universität Tübingen Auf der Morgenstelle 14, D-72076 Tübingen, FRG

(Received: 20 February 2001 Communicated by D. Schwalm)

Abstract
The effects of the restoration of Galilei invariance in the nuclear many-body problem on the energies of simple bound states are investigated. As examples we consider the oscillator ground states of 4He, 16O and 40Ca as well as the various hole states with respect to these reference configurations. Density-independent as well as density-dependent interactions are studied. It turns out that the full restoration of Galilei-invariance yields considerable contributions on top of the trivial 1/A effect resulting from removing the center-of-momentum part of the Hamiltonian.

PACS
21.60.-n - Nuclear-structure models and methods.

© Società Italiana di Fisica, Springer-Verlag 2002