On the Solution to the Large Amplitude Collective Motion of Finite Interacting Fermi Systems
Large amplitude collective motion in nuclei is a very fascinating subject for studying the properties of finite quantum systems. Examples include oscillations between coexisting deformed shapes or the interplay of the rotating deformed field and the alignment of individual particles. In the experimental data the related phenomena manifest themselves by the characteristic pattern of level schemes and transition rates as found, for example, in the research on properties of high-spin states. Concerning the theoretical description of those features, the construction of Potential Energy Surfaces (PES) by the Strutinsky shell-correction method or by constrained Hartree-Fock calculations provides a profound background for understanding and interpreting the observed features in a microscopic way. The knowledge of such PES maps gives us detailed information on the statics of the system under study, because they predict the stability of selected quasiparticle configurations which correspond to the minimal points in the potential-energy landscape. The so-called Total Routhian Surfaces  describe the spatial deformation of the nuclear density distribution as function of rotational frequency. These are examples of the succesful application of theoretical PES maps and are important for the interpretation of experimental data. However, to describe, in addition, possible transitions between coexisting quasiparticle configurations, one finds it necessary to account for the full dynamics of the collective motion treated for the case of large amplitudes.
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