Analytical Special Solutions of the Bohr Hamiltonian
Nuclear Theory
2007-05-23 v1
Abstract
The following special solutions of the Bohr Hamiltonian are briefly described: 1) Z(5) (approximately separable solution in five dimensions with gamma close to 30 degrees), 2) Z(4) (exactly separable gamma-rigid solution in four dimensions with gamma = 30 degrees), 3) X(3) (exactly separable gamma-rigid solution in three dimensions with gamma =0). The analytical solutions obtained using Davidson potentials in the E(5), X(5), Z(5), and Z(4) frameworks are also mentioned.
Cite
@article{arxiv.nucl-th/0512046,
title = {Analytical Special Solutions of the Bohr Hamiltonian},
author = {D. Bonatsos and D. Lenis and D. Petrellis and P. A. Terziev and I. Yigitoglu},
journal= {arXiv preprint arXiv:nucl-th/0512046},
year = {2007}
}
Comments
6 pages, LaTeX, including 11 .eps figures. To appear in the Proceedings of the Workshop on Symmetries and Low-Energy Phase Transitions in Nuclear-Structure Physics (Camerino, October 9-11, 2005)