Interacting Boson Model from Energy Density Functionals

1. Front Matter

   Pages i-xiii

   PDF

2. Introduction

   • Kosuke Nomura

   Pages 1-13

3. Basic Notions

   • Kosuke Nomura

   Pages 15-51

4. Rotating Deformed Systems with Axial Symmetry

   • Kosuke Nomura

   Pages 53-64

5. Weakly Deformed Systems with Triaxial Dynamics

   • Kosuke Nomura

   Pages 65-129

6. Comparison with Geometrical Model

   • Kosuke Nomura

   Pages 131-143

7. Is Axially Asymmetric Nucleus \(\gamma \) Rigid or Unstable?

   • Kosuke Nomura

   Pages 145-155

8. Ground-State Correlation

   • Kosuke Nomura

   Pages 157-164

9. Summary and Concluding Remarks

   • Kosuke Nomura

   Pages 165-169

10. Back Matter

    Pages 171-188

    PDF

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.

• Density Functional Theory
• Interacting Boson Model
• Medium-heavy and Heavy Nuclei
• Mesoscopic Quantum Many-body Systems
• Microscopic Energy Density Functional
• Microscopic Self-consistent Mean-field Theory
• Nuclear Collective Motion
• Nucleon to Boson Mapping
• Two-body IBM Hamiltonian

• Universität zu Köln, Köln, Germany

  Kosuke Nomura

Dr. Kosuke Nomura

Institut für KernphysikUniversität zu Köln

Köln

Germany

(Current address)

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