Microscopic description of nuclear structure around {sup 80}Zr
- China Institute of Atomic Energy, P.O. Box 275 (18), Beijing 102413 (China)
- School of Nuclear Engineering and Technology, East China Institute of Technology, Fuzhou, Jiangxi 344000 (China)
- School of Physical Science and Technology, Southwest University, Chongqing 400715 (China)
A new approach for the calculation of angular momentum projected potential energy surfaces (AMPPESs) is proposed which combines the projected shell model with a quadrupole constrained relativistic Hartree-Bogoliubov (RHB) theory in which the NL3 effective interaction is chosen for the relativistic mean-field effective Lagrangian and a separable Gogny D1S interaction for the pairing force (QCRHB-NL3+separable Gogny D1S force theory). We apply this approach to compute the AMPPESs of {sup 80,82,84}Zr nuclei up to high spins and investigate the spin-induced shape transitions and decay out of the superdeformed (SD) bands in these nuclei. We find that the shape transitions occur in {sup 80}Zr and {sup 84}Zr, which are driven by the rotational alignments of the nucleons in the 1g{sub 9/2} orbitals, and a strong shape mixing happens in {sup 82}Zr. Moreover, it is shown that the barrier separating the SD states and normal deformed (or spherical) states becomes lower and narrower for {sup 82}Zr and {sup 84}Zr at high spins, indicating that the decay out of the SD bands could occur at high spins. For {sup 80}Zr, however, there is no decay out of the SD band because the barrier is so high and thick. Meanwhile, the QCRHB-NL3+separable Gogny D1S force theory is employed to calculate the ground-state potential energy surfaces and the single-particle levels of these nuclei, which in turn are used to determine and analyze the equilibrium shapes and discuss the shape coexistence of these nuclei. In addition, this theory is compared with other state-of-the-art mean-field theories to justify its use to study the ground-state potential energy surfaces of {sup 80,82,84}Zr.
- OSTI ID:
- 21419423
- Journal Information:
- Physical Review. C, Nuclear Physics, Vol. 82, Issue 2; Other Information: DOI: 10.1103/PhysRevC.82.024309; (c) 2010 The American Physical Society; ISSN 0556-2813
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
ANGULAR MOMENTUM
EQUILIBRIUM
GROUND STATES
HARTREE-FOCK-BOGOLYUBOV THEORY
INTERACTIONS
LAGRANGIAN FUNCTION
MEAN-FIELD THEORY
NUCLEAR STRUCTURE
NUCLEONS
POTENTIAL ENERGY
RELATIVISTIC RANGE
SHELL MODELS
SIMULATION
SPHERICAL CONFIGURATION
SPIN
SUPERDEFORMED NUCLEI
ZIRCONIUM 80
ZIRCONIUM 82
ZIRCONIUM 84
BARYONS
BETA DECAY RADIOISOTOPES
BETA-PLUS DECAY RADIOISOTOPES
CONFIGURATION
DEFORMED NUCLEI
ELECTRON CAPTURE RADIOISOTOPES
ELEMENTARY PARTICLES
ENERGY
ENERGY LEVELS
ENERGY RANGE
EVEN-EVEN NUCLEI
FERMIONS
FUNCTIONS
HADRONS
INTERMEDIATE MASS NUCLEI
ISOTOPES
MATHEMATICAL MODELS
MINUTES LIVING RADIOISOTOPES
NUCLEAR MODELS
NUCLEI
PARTICLE PROPERTIES
RADIOISOTOPES
ZIRCONIUM ISOTOPES