2018 Impact factor 2.481
Hadrons and Nuclei


Eur. Phys. J. A 13, 319-338 (2002)

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

Part II: Electromagnetic properties of simple bound states
K.W. Schmid

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

karl-wilhelm.schmid@uni-tuebingen.de

(Received: 21 February 2001 / Revised version: 18 December 2001 Communicated by D. Schwalm)

Abstract
The effects of the restoration of Galilei invariance in the nuclear many-body problem on the electromagnetic properties of simple bound states are investigated. For this purpose the form factors for elastic electron scattering from the oscillator ground states of $\chem{^{4}He}$, $\chem{^{16}O}$ and $\chem{^{40}Ca}$ as well as those for elastic and inelastic electron scattering between various one-hole states with respect to these reference configurations are computed with and without projection into the center-of-momentum rest frame. It is demonstrated that, in some cases, the full restoration of Galilei invariance produces results which are considerably different from those obtained with the usual approximate way to treat the center-of-mass motion. The same holds for the mathematical Coulomb sum rules and their first and second moments obtained for the above-mentioned nuclei.

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

© Società Italiana di Fisica, Springer-Verlag 2002