On the use of general symmetry-projected Hartree–Fock–Bogoliubov configurations in variational approaches to the nuclear many-body problem
✍ Scribed by K.W. Schmid
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 825 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0146-6410
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✦ Synopsis
Various variational approaches to the nuclear many-body problem are reviewed, which all use general symmetry-projected Hartree-Fock-Bogoliubov determinants as test configurations. The different approaches vary, however, in the degree of sophistication with which the underlying mean-fields as well as the configuration mixing are determined. The methods are explained in detail and their limitations are discussed. Special attention is payed to the particular symmetry restrictions made in the earlier applications and their consequences. Illustrative examples for some selected applications will be given, and the results, where possible, will be compared to those of alternative approaches. A calculational procedure, which allows one to use phenomenological density-dependent interactions, is reported and its merits and shortcomings are discussed. Finally, the problem of restoring Galilei invariance in the variational and similar approaches is adressed in some detail.