GOE-TYPE ENERGY-LEVEL STATISTICS AND REGULAR CLASSICAL DYNAMICS FOR ROTATIONAL NUCLEI IN THE INTERACTING BOSON MODEL

[No Value] PAAR; D VORKAPIC; AEL DIERPERINK

GOE-TYPE ENERGY-LEVEL STATISTICS AND REGULAR CLASSICAL DYNAMICS FOR ROTATIONAL NUCLEI IN THE INTERACTING BOSON MODEL

[No Value] PAAR
, D VORKAPIC
, AEL DIERPERINK

Onderzoeksoutput › Academic › peer review

20 Citaten (Scopus)

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We study the fluctuation properties of 0+ levels in rotational nuclei using the framework of SU(3) dynamical symmetry of the interacting boson model. Computations of Poincare sections for SU(3) dynamical symmetry and its breaking confirm the expected relation between dynamical symmetry and classical chaos. On the other hand, the quantal energy level statistics in the realistic case of rotational nuclei is close to Gaussian-orthogonal-ensemble statistics, contrary to expectations. The conjectured relation between energy fluctuations and chaos is approached asymptotically. Several predictions for chaotic behavior of normally deformed and superdeformed rotational nuclei are given.

Originele taal-2	English
Pagina's (van-tot)	2184-2187
Aantal pagina's	4
Tijdschrift	Physical Review Letters
Volume	69
Nummer van het tijdschrift	15
Status	Published - 12-okt-1992

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@article{6a52e619e32d411a8dc230823b0a0241,

title = "GOE-TYPE ENERGY-LEVEL STATISTICS AND REGULAR CLASSICAL DYNAMICS FOR ROTATIONAL NUCLEI IN THE INTERACTING BOSON MODEL",

abstract = "We study the fluctuation properties of 0+ levels in rotational nuclei using the framework of SU(3) dynamical symmetry of the interacting boson model. Computations of Poincare sections for SU(3) dynamical symmetry and its breaking confirm the expected relation between dynamical symmetry and classical chaos. On the other hand, the quantal energy level statistics in the realistic case of rotational nuclei is close to Gaussian-orthogonal-ensemble statistics, contrary to expectations. The conjectured relation between energy fluctuations and chaos is approached asymptotically. Several predictions for chaotic behavior of normally deformed and superdeformed rotational nuclei are given.",

keywords = "LYING COLLECTIVE STATES, SCHEMATIC SHELL-MODEL, EVEN-EVEN NUCLEI, QUANTUM CHAOS, MAGNETIC-FIELD, HYDROGEN-ATOM, SYMMETRY, SPECTRA, NONINTEGRABILITY, TRANSITION",

author = "PAAR, \{[No Value]\} and D VORKAPIC and AEL DIERPERINK",

year = "1992",

month = oct,

day = "12",

language = "English",

volume = "69",

pages = "2184--2187",

journal = "Physical Review Letters",

issn = "0031-9007",

publisher = "AMER PHYSICAL SOC",

number = "15",

}

TY - JOUR

T1 - GOE-TYPE ENERGY-LEVEL STATISTICS AND REGULAR CLASSICAL DYNAMICS FOR ROTATIONAL NUCLEI IN THE INTERACTING BOSON MODEL

AU - PAAR, [No Value]

AU - VORKAPIC, D

AU - DIERPERINK, AEL

PY - 1992/10/12

Y1 - 1992/10/12

N2 - We study the fluctuation properties of 0+ levels in rotational nuclei using the framework of SU(3) dynamical symmetry of the interacting boson model. Computations of Poincare sections for SU(3) dynamical symmetry and its breaking confirm the expected relation between dynamical symmetry and classical chaos. On the other hand, the quantal energy level statistics in the realistic case of rotational nuclei is close to Gaussian-orthogonal-ensemble statistics, contrary to expectations. The conjectured relation between energy fluctuations and chaos is approached asymptotically. Several predictions for chaotic behavior of normally deformed and superdeformed rotational nuclei are given.

AB - We study the fluctuation properties of 0+ levels in rotational nuclei using the framework of SU(3) dynamical symmetry of the interacting boson model. Computations of Poincare sections for SU(3) dynamical symmetry and its breaking confirm the expected relation between dynamical symmetry and classical chaos. On the other hand, the quantal energy level statistics in the realistic case of rotational nuclei is close to Gaussian-orthogonal-ensemble statistics, contrary to expectations. The conjectured relation between energy fluctuations and chaos is approached asymptotically. Several predictions for chaotic behavior of normally deformed and superdeformed rotational nuclei are given.

KW - LYING COLLECTIVE STATES

KW - SCHEMATIC SHELL-MODEL

KW - EVEN-EVEN NUCLEI

KW - QUANTUM CHAOS

KW - MAGNETIC-FIELD

KW - HYDROGEN-ATOM

KW - SYMMETRY

KW - SPECTRA

KW - NONINTEGRABILITY

KW - TRANSITION

M3 - Article

SN - 0031-9007

VL - 69

SP - 2184

EP - 2187

JO - Physical Review Letters

JF - Physical Review Letters

IS - 15

ER -

GOE-TYPE ENERGY-LEVEL STATISTICS AND REGULAR CLASSICAL DYNAMICS FOR ROTATIONAL NUCLEI IN THE INTERACTING BOSON MODEL

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