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