Analytical Special Solutions of the Bohr Hamiltonian

Details Analytical Special Solutions of the Bohr Hamiltonian Analytical Special Solutions of the Bohr Hamiltonian

2005-12-13

arxiv.org/abs/nucl-th/0512046v1

Physics

Nuclear Physics

Nuclear Theory

6 pages, LaTeX, including 11 .eps figures. To appear in the Proceedings of the Workshop on Symmetries and Low-Energy Phase Tra

Scientific paper

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.

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