Anharmonic collective excitation in a solvable model

Abstract

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.

RevTex, 18 pages, 4 postscript figures

References in corpus (5)

• Variational approach to anharmonic collective motion
• Excitation of nuclear anharmonic vibrations in heavy-ion fusion reactions
• Role of anharmonicities of nuclear vibrations in fusion reactions at subbarrier energies
• Double Giant Dipole Resonance in ^{208}Pb
• Boson expansion methods applied to a two-level model in the study of multiple giant resonances

Cited by in corpus (4)

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• SU(2,1) Dynamics of Multiple Giant Dipole Resonance Coulomb Excitation