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arxiv: nucl-th/0512046 · v1 · submitted 2005-12-13 · ⚛️ nucl-th

Analytical Special Solutions of the Bohr Hamiltonian

classification ⚛️ nucl-th
keywords dimensionsgammaseparablesolutionsolutionsanalyticalbohrdegrees
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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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