Anharmonic collective excitation in a solvable model

Details Anharmonic collective excitation in a solvable model Anharmonic collective excitation in a solvable model

1998-11-09

arxiv.org/abs/nucl-th/9811030v4

Nucl.Phys. A657 (1999) 59-72

Physics

Nuclear Physics

Nuclear Theory

RevTex, 18 pages, 4 postscript figures

Scientific paper

10.1016/S0375-9474(99)00326-7

We apply the time-dependent variational principle, the nuclear field theory, and the boson expansion method to the Lipkin model to discuss anharmonicities of collective vibrational excitations. It is shown that all of these approaches lead to the same anharmonicity to leading order in the number of particles. Comparison with the exact solution of the Lipkin model shows that these theories reproduce it quite well.

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