Microscopic formulation of the interacting boson model for rotational nuclei

Journal Article · Fri Apr 15 04:00:00 EDT 2011 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.83.041302· OSTI ID:21499544

Nomura, Kosuke; Shimizu, Noritaka ^[1]; Otsuka, Takaharu ^[1]; Guo, Lu ^[2]

---

1. Department of Physics, University of Tokyo, Hongo, Bunkyo-ku, Tokyo 113-0033 (Japan)
2. RIKEN Nishina Center, Hirosawa, Wako-shi, Saitama 351-0198 (Japan)

We propose a novel formulation of the interacting boson model (IBM) for rotational nuclei with axially symmetric, strong deformation. The intrinsic structure represented by the potential-energy surface (PES) of a given multinucleon system has a certain similarity to that of the corresponding multiboson system. Based on this feature, one can derive an appropriate boson Hamiltonian, as already reported. This prescription, however, has a major difficulty in the rotational spectra of strongly deformed nuclei: the bosonic moment of inertia is significantly smaller than the corresponding nucleonic one. We present that this difficulty originates in the difference between the rotational response of a nucleon system and that of the corresponding boson system, and could arise even if the PESs of the two systems were identical. We further suggest that the problem can be solved by implementing the L{center_dot}L term into the IBM Hamiltonian, with the coupling constant derived from the cranking approach of Skyrme mean-field models. The validity of the method is confirmed for rare-earth and actinoid nuclei, as their experimental rotational yrast bands are reproduced nicely.

• OSTI ID: 21499544
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 4 Vol. 83; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ACTINIDE NUCLEI
AXIAL SYMMETRY
BARYONS
BOSONS
COUPLING CONSTANTS
DEFORMED NUCLEI
ELEMENTARY PARTICLES
ELEMENTS
ENERGY
FERMIONS
HADRONS
HAMILTONIANS
HEAVY NUCLEI
INTERACTING BOSON MODEL
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MEAN-FIELD THEORY
METALS
MOMENT OF INERTIA
MOTION
NUCLEAR MODELS
NUCLEI
NUCLEON-NUCLEON POTENTIAL
NUCLEONS
POTENTIAL ENERGY
POTENTIALS
QUANTUM OPERATORS
RARE EARTHS
ROTATION
SHELL MODELS
SKYRME POTENTIAL
SPECTRA
SURFACES
SYMMETRY