Chaotic behavior of nuclear spectra

G. E. Mitchell; E. G. Bilpuch; P. M. Endt; J. F. Shriner; T. von Egidy

doi:10.1016/0168-583X(91)96067-U

Chaotic behavior of nuclear spectra

G. E. Mitchell, E. G. Bilpuch, P. M. Endt, J. F. Shriner, T. von Egidy

Chair of Physics I

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Abstract

Bohigas, Giannoni and Schmit conjectured that quantum analogs of classically chaotic systems have level statistics which are consistent with the Gaussian orthogonal ensemble (GOE) of random matrix theory. This suggests that the fluctuation properties of nuclear levels may be used as a signature for chaos or regularity. Resonance data are known to display the long and short range order predicted by GOE. In one nucleus, ²⁶Al, all levels are known from the ground state to the resonance region. This provides the first experimental test of the behavior of fluctuation properties as a function of symmetry breaking - in this case, isospin. In addition there are many nuclides where level schemes are complete over a more limited range of energies and spins. Our analysis of a large data set (~ 160 sequences in 60 nuclides) reveals a strong dependence on the mass number A.

Original language	English
Pages (from-to)	446-450
Number of pages	5
Journal	Nuclear Instruments and Methods in Physics Research, Section B: Beam Interactions with Materials and Atoms
Volume	56-57
Issue number	PART 1
DOIs	https://doi.org/10.1016/0168-583X(91)96067-U
State	Published - 1 May 1991

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title = "Chaotic behavior of nuclear spectra",

abstract = "Bohigas, Giannoni and Schmit conjectured that quantum analogs of classically chaotic systems have level statistics which are consistent with the Gaussian orthogonal ensemble (GOE) of random matrix theory. This suggests that the fluctuation properties of nuclear levels may be used as a signature for chaos or regularity. Resonance data are known to display the long and short range order predicted by GOE. In one nucleus, 26Al, all levels are known from the ground state to the resonance region. This provides the first experimental test of the behavior of fluctuation properties as a function of symmetry breaking - in this case, isospin. In addition there are many nuclides where level schemes are complete over a more limited range of energies and spins. Our analysis of a large data set (~ 160 sequences in 60 nuclides) reveals a strong dependence on the mass number A.",

author = "Mitchell, {G. E.} and Bilpuch, {E. G.} and Endt, {P. M.} and Shriner, {J. F.} and {von Egidy}, T.",

note = "Funding Information: * Supported in part by the U.S. Department of Energy, Office of High Energy and Nuclear Physics, under Contract Nos. DE-FGW87ER40353, DE-AC05-76ER01067 and DE-FG05-88ER40441, and the Bundesministerium fur For-schung und Technologie, Bonn, Germany.",

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doi = "10.1016/0168-583X(91)96067-U",

language = "English",

volume = "56-57",

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journal = "Nuclear Instruments and Methods in Physics Research, Section B: Beam Interactions with Materials and Atoms",

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T1 - Chaotic behavior of nuclear spectra

AU - Mitchell, G. E.

AU - Bilpuch, E. G.

AU - Endt, P. M.

AU - Shriner, J. F.

AU - von Egidy, T.

N1 - Funding Information: * Supported in part by the U.S. Department of Energy, Office of High Energy and Nuclear Physics, under Contract Nos. DE-FGW87ER40353, DE-AC05-76ER01067 and DE-FG05-88ER40441, and the Bundesministerium fur For-schung und Technologie, Bonn, Germany.

PY - 1991/5/1

Y1 - 1991/5/1

N2 - Bohigas, Giannoni and Schmit conjectured that quantum analogs of classically chaotic systems have level statistics which are consistent with the Gaussian orthogonal ensemble (GOE) of random matrix theory. This suggests that the fluctuation properties of nuclear levels may be used as a signature for chaos or regularity. Resonance data are known to display the long and short range order predicted by GOE. In one nucleus, 26Al, all levels are known from the ground state to the resonance region. This provides the first experimental test of the behavior of fluctuation properties as a function of symmetry breaking - in this case, isospin. In addition there are many nuclides where level schemes are complete over a more limited range of energies and spins. Our analysis of a large data set (~ 160 sequences in 60 nuclides) reveals a strong dependence on the mass number A.

AB - Bohigas, Giannoni and Schmit conjectured that quantum analogs of classically chaotic systems have level statistics which are consistent with the Gaussian orthogonal ensemble (GOE) of random matrix theory. This suggests that the fluctuation properties of nuclear levels may be used as a signature for chaos or regularity. Resonance data are known to display the long and short range order predicted by GOE. In one nucleus, 26Al, all levels are known from the ground state to the resonance region. This provides the first experimental test of the behavior of fluctuation properties as a function of symmetry breaking - in this case, isospin. In addition there are many nuclides where level schemes are complete over a more limited range of energies and spins. Our analysis of a large data set (~ 160 sequences in 60 nuclides) reveals a strong dependence on the mass number A.

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DO - 10.1016/0168-583X(91)96067-U

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AN - SCOPUS:0141691959

SN - 0168-583X

VL - 56-57

SP - 446

EP - 450

JO - Nuclear Instruments and Methods in Physics Research, Section B: Beam Interactions with Materials and Atoms

JF - Nuclear Instruments and Methods in Physics Research, Section B: Beam Interactions with Materials and Atoms

IS - PART 1

ER -

Chaotic behavior of nuclear spectra

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