Anharmonic collective excitation in a solvable model

G. F. Bertsch, P. F. Bortignon, K. Hagino

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


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 quite well.

Original languageEnglish
Pages (from-to)59-72
Number of pages14
JournalNuclear Physics A
Issue number1
Publication statusPublished - 1999 Sep 13
Externally publishedYes


  • Anharmonicity
  • Boson expansion method
  • Giant resonance
  • Lipkin model
  • Nuclear field theory
  • Time-dependent variational approach

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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