Physics – Nuclear Physics – Nuclear Theory
Scientific paper
1998-11-24
Nucl.Phys. A647 (1999) 246-256
Physics
Nuclear Physics
Nuclear Theory
12 pages, 2 figures, Latex with epsfig.sty
Scientific paper
10.1016/S0375-9474(99)00016-0
We apply boson expansion methods to an extended Lipkin-Meshkov-Glick model including anharmonicities in analogy with previous microscopic calculations. We study the effects of different approximations present in these calculations, among which the truncation of the hamiltonian and of the space, in connection with the study of the properties of two-phonon and three-phonon states. By comparing the approximate results on the spectrum with the exact ones we conclude that the approximations made in the microscopic calculations on two-phonon states are well justified. We find also that a good agreement with the exact results for the three-phonon state is obtained by using a bosonic hamiltonian truncated at the fourth order. This result makes us confident that such approximation can be used in realistic calculations, thus allowing a theoretical study of triple excitations of giant resonances.
Andres M. V.
Catara Francesco
Chomaz Ph.
Lanza E. G.
Volpe Christina
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