Chaos in the low-lying collective states of even-even nuclei

Journal Article · Mon Dec 10 04:00:00 EST 1990 · Physical Review Letters; (USA)

DOI:https://doi.org/10.1103/PhysRevLett.65.2971· OSTI ID:6253968

Alhassid, Y; Novoselsky, A; Whelan, N ^[1]

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1. Center for Theoretical Physics, Sloane Physics Laboratory, Yale University, New Haven, Connecticut 06511 (USA) A. W. Wright Nuclear Structure Laboratory, Yale University, New Haven, Connecticut 06511

We study the fluctuation properties of the spectrum and the electromagnetic E2 transitions of low-lying collective states in even-even nuclei. Using the framework of the interacting-boson model we discuss the transition between rotational and {gamma}-unstable nuclei. Near those two limits the system exhibits regular behavior but in the transition region it shows chaotic behavior, where the fluctuations are characterized by the Gaussian orthogonal ensemble. Analysis of the classical mean-field dynamics of the five nuclear quadrupole shape degrees of freedom confirms the quantal results.

• DOE Contract Number: AC02-76ER03074
• OSTI ID: 6253968
• Journal Information: Physical Review Letters; (USA), Journal Name: Physical Review Letters; (USA) Vol. 65:24; ISSN PRLTA; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
COLLECTIVE MODEL
DIAGRAMS
E2-TRANSITIONS
ENERGY-LEVEL TRANSITIONS
EVEN-EVEN NUCLEI
FLUCTUATIONS
INTERACTING BOSON MODEL
MATHEMATICAL MODELS
MULTIPOLE TRANSITIONS
NUCLEAR MODELS
NUCLEI
PHASE DIAGRAMS
PHASE TRANSFORMATIONS
SHELL MODELS
VARIATIONS