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Interacting boson model from energy density functionals. (English) Zbl 1309.82002
Springer Theses. Tokyo: Springer; Tokyo: University of Tokyo (Diss.) (ISBN 978-4-431-54233-9/hbk; 978-4-431-54234-6/ebook). xiii, 188 p. (2013).
The work of this thesis aims at filling gaps and at providing directions toward a unified description of the nuclear low-energy collective motion by providing bridges from nucleon systems to boson ones. After a general introduction, the author recalls in Chapter 2 the basic notions of the field: self-consistent mean-field models, interacting boson models, nucleon to boson mapping, optimal boson Hamiltonian. Chapter 3 deals with rotating deformed systems with axial symmetry, Chapter 4 with weakly deformed systems with triaxial dynamics and with quantum phase transitions. Chapter 5 compares the models with more geometrical ones (Bohr vs. Hamiltonian, geometrical vs bosonic spectra, etc.) while Chapter 6 deals with rigidity vs unstability of axially asymmetric nucleus. Chapter 7 focuses on ground states correlation (binding, two-neutron separation energies, empirical proton-neutron correlation). The thesis is summarized in Chapter 8 and two appendices detail mean-field and interacting boson systems formulae and calculations.
MSC:
82-02 Research exposition (monographs, survey articles) pertaining to statistical mechanics
81V35 Nuclear physics
82C22 Interacting particle systems in time-dependent statistical mechanics
82C26 Dynamic and nonequilibrium phase transitions (general) in statistical mechanics
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