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Interacting Boson Model from Energy Density Functionals

✍ Scribed by Kosuke Nomura (auth.)


Publisher
Springer Tokyo
Year
2013
Tongue
English
Leaves
193
Series
Springer Theses
Edition
1
Category
Library

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✦ Synopsis


This thesis describes a novel and robust way of deriving a Hamiltonian of the interacting boson model based on microscopic nuclear energy density functional theory. Based on the fact that the multi-nucleon induced surface deformation of finite nucleus can be simulated by effective boson degrees of freedom, observables in the intrinsic frame, obtained from self-consistent mean-field method with a microscopic energy density functional, are mapped onto the boson analog. Thereby, the excitation spectra and the transition rates for the relevant collective states having good symmetry quantum numbers are calculated by the subsequent diagonalization of the mapped boson Hamiltonian. Because the density functional approach gives an accurate global description of nuclear bulk properties, the interacting boson model is derived for various situations of nuclear shape phenomena, including those of the exotic nuclei investigated at rare-isotope beam facilities around the world. This work provides, for the first time, crucial pieces of information about how the interacting boson model is justified and derived from nucleon degrees of freedom in a comprehensive manner.

✦ Table of Contents


Front Matter....Pages i-xiii
Introduction....Pages 1-13
Basic Notions....Pages 15-51
Rotating Deformed Systems with Axial Symmetry....Pages 53-64
Weakly Deformed Systems with Triaxial Dynamics....Pages 65-129
Comparison with Geometrical Model....Pages 131-143
Is Axially Asymmetric Nucleus $$\gamma $$ Ξ³ Rigid or Unstable?....Pages 145-155
Ground-State Correlation....Pages 157-164
Summary and Concluding Remarks....Pages 165-169
Back Matter....Pages 171-188

✦ Subjects


Strongly Correlated Systems, Superconductivity;Magnetism, Magnetic Materials;Theoretical, Mathematical and Computational Physics;Mathematical Applications in the Physical Sciences


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