Level statistics of near-yrast states in rapidly rotating nuclei
(1997) In Nuclear Physics A 620(3). p.296-316- Abstract
The nearest neighbour level spacing distribution and the Δ3 statistic of level fluctuations associated with very high spin states (I ≳ 30) in rare-earth deformed nuclei are analysed by means of a cranked shell model. The many particle-many hole configurations created in the rotating Nilsson potential are mixed by the surface-delta two-body residual interaction. The levels in the near-yrast region show a Poisson-like level spacing distribution. As the intrinsic excitation energy U increases, the level statistics shows a gradual transition from order to chaos, reaching at U ≳ 2 MeV the Wigner distribution typical of the Gaussian orthogonal ensemble of random matrices. This transition is caused by the residual two-body... (More)
The nearest neighbour level spacing distribution and the Δ3 statistic of level fluctuations associated with very high spin states (I ≳ 30) in rare-earth deformed nuclei are analysed by means of a cranked shell model. The many particle-many hole configurations created in the rotating Nilsson potential are mixed by the surface-delta two-body residual interaction. The levels in the near-yrast region show a Poisson-like level spacing distribution. As the intrinsic excitation energy U increases, the level statistics shows a gradual transition from order to chaos, reaching at U ≳ 2 MeV the Wigner distribution typical of the Gaussian orthogonal ensemble of random matrices. This transition is caused by the residual two-body interaction. On the other hand, the level spacings between the yrast and the first excited state show a peculiar behaviour, displaying a Wigner-like distribution instead of the Poisson-like distribution seen for the other near-yrast rotational states. The lowest spacings reflect the properties of the single-particle orbits in the mean-field, and are only weakly affected by the residual two-body interaction.
(Less)
- author
- Matsuo, M. ; Døssing, T. LU ; Vigezzi, E. and Åberg, S. LU
- organization
- publishing date
- 1997-07-14
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Chaos, Cranked Nilsson potential, High spin states, Level statistics, Surface delta interaction
- in
- Nuclear Physics A
- volume
- 620
- issue
- 3
- pages
- 21 pages
- publisher
- Elsevier
- external identifiers
-
- scopus:0031567572
- ISSN
- 0375-9474
- DOI
- 10.1016/S0375-9474(97)00170-X
- language
- English
- LU publication?
- yes
- id
- daa2bf98-8a73-4070-b0a1-f1905ece643b
- date added to LUP
- 2025-09-02 14:41:13
- date last changed
- 2025-10-14 13:28:15
@article{daa2bf98-8a73-4070-b0a1-f1905ece643b,
abstract = {{<p>The nearest neighbour level spacing distribution and the Δ<sub>3</sub> statistic of level fluctuations associated with very high spin states (I ≳ 30) in rare-earth deformed nuclei are analysed by means of a cranked shell model. The many particle-many hole configurations created in the rotating Nilsson potential are mixed by the surface-delta two-body residual interaction. The levels in the near-yrast region show a Poisson-like level spacing distribution. As the intrinsic excitation energy U increases, the level statistics shows a gradual transition from order to chaos, reaching at U ≳ 2 MeV the Wigner distribution typical of the Gaussian orthogonal ensemble of random matrices. This transition is caused by the residual two-body interaction. On the other hand, the level spacings between the yrast and the first excited state show a peculiar behaviour, displaying a Wigner-like distribution instead of the Poisson-like distribution seen for the other near-yrast rotational states. The lowest spacings reflect the properties of the single-particle orbits in the mean-field, and are only weakly affected by the residual two-body interaction.</p>}},
author = {{Matsuo, M. and Døssing, T. and Vigezzi, E. and Åberg, S.}},
issn = {{0375-9474}},
keywords = {{Chaos; Cranked Nilsson potential; High spin states; Level statistics; Surface delta interaction}},
language = {{eng}},
month = {{07}},
number = {{3}},
pages = {{296--316}},
publisher = {{Elsevier}},
series = {{Nuclear Physics A}},
title = {{Level statistics of near-yrast states in rapidly rotating nuclei}},
url = {{http://dx.doi.org/10.1016/S0375-9474(97)00170-X}},
doi = {{10.1016/S0375-9474(97)00170-X}},
volume = {{620}},
year = {{1997}},
}