High-lying single-particle modes, chaos, correlational entropy, and doubling phase transition

Journal Article · Thu Jul 01 00:00:00 EDT 2004 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.70.014302· OSTI ID:20695579

Stoyanov, Chavdar ^[1]; Zelevinsky, Vladimir ^[2]

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1. Institute for Nuclear Research and Nuclear Energy, Tzarigradsko Chaussee 72, 1784 Sofia (Bulgaria)
2. National Superconducting Cyclotron Laboratory and Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824-1321 (United States)

Highly excited single-particle states in nuclei are coupled with the excitations of a more complex character, first of all with collective phononlike modes of the core. In the framework of the quasiparticle-phonon model, we consider the structure of resulting complex configurations, using the 1k{sub 17/2} orbital in {sup 209}Pb as an example. Although, on the level of one- and two-phonon admixtures, the fully chaotic Gaussian orthogonal ensemble regime is not reached, the eigenstates of the model carry a significant degree of complexity that can be quantified with the aid of correlational invariant entropy. With artificially enhanced particle-core coupling, the system undergoes the doubling phase transition with the quasiparticle strength concentrated in two repelling peaks. This phase transition is clearly detected by correlational entropy.

• OSTI ID: 20695579
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 70, Issue 1; Other Information: DOI: 10.1103/PhysRevC.70.014302; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CHAOS THEORY
COLLECTIVE MODEL
EIGENSTATES
ENTROPY
EXCITATION
L-S COUPLING
LEAD 209
PHASE TRANSFORMATIONS
PHONONS
QUASIPARTICLE-PHONON MODEL
SHELL MODELS
SINGLE-PARTICLE MODES