Quadrupole collective states within the Bohr collective Hamiltonian

Details Quadrupole collective states within the Bohr collective Hamiltonian Quadrupole collective states within the Bohr collective Hamiltonian

2009-11-02

arxiv.org/abs/0911.0366v1

J.Phys.G36:123101,2009

Physics

Nuclear Physics

Nuclear Theory

47 pages, 8 figures

Scientific paper

10.1088/0954-3899/36/12/123101

The article reviews the general version of the Bohr collective model for the description of quadrupole collective states, including a detailed study the model's kinematics. The general form of the classical and quantum Bohr Hamiltonian is presented together with a discussion of the tensor structure of the collective wave functions and with a short review of various methods of solving the Bohr Hamiltonian eigenvalue equation.The methods of derivation of the classical and quantum Bohr Hamiltonian from the microscopic many-body theory are recalled and the microscopic approach to the Bohr Hamiltonian is applied to interpret collective properties of 12 heavy even-even nuclei in the Hf-Hg region.

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