Chaos in the low-lying collective states of even-even nuclei: Quantal fluctuations

Journal Article · Wed Apr 01 04:00:00 EST 1992 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.45.1677· OSTI ID:7301418

Alhassid, Y ^[1]; Novoselsky, A ^[2]

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1. Center for Theoretical Physics, Sloane Physics Laboratory, and A. W. Wright Nuclear Structure Laboratory, Yale University, New Haven, Connecticut 06511 (United States)
2. Racah Institute of Physics, The Hebrew University, Jerusalem 91904 (Israel)

We study the fluctuations in the spectrum and the {ital E}2 transition intensities of the low-lying collective states in heavy nuclei. Using the interacting boson model we investigate the transition from rotational nuclei to {gamma}-unstable nuclei. Near those two limits the system exhibits regular behavior but in the transition region we observe the onset of chaos where both the level statistics and the intensities statistics are described by the Gaussian orthogonal ensemble of random matrices. The systematics of the onset of chaos within different spin/parity classes are investigated. The quantal results agree with the classical mean-field analysis.

• OSTI ID: 7301418
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 45:4; ISSN 0556-2813; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

663220* -- Electromagnetic Transitions-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR MOMENTUM
COLLECTIVE EXCITATIONS
COLLECTIVE MODEL
E2-TRANSITIONS
ENERGY-LEVEL TRANSITIONS
EVEN-EVEN NUCLEI
EXCITATION
INTERACTING BOSON MODEL
MATHEMATICAL MODELS
MEAN-FIELD THEORY
MULTIPOLE TRANSITIONS
NONLINEAR PROBLEMS
NUCLEAR MODELS
NUCLEI
PARITY
PARTICLE PROPERTIES
SHELL MODELS
SPIN