Abstract
The single particle-energy levels of U 23892 as a function of cranked frequency are given in rotating two-centre shell model. It is found that the curvature distribution approaches the prediction of Gaussian unitary ensemble (GUE) [14] for a certain range of separations between two centers at some cranked frequencies, which is the first support to the prediction in the realistic and complex system like heavy nuclei. Meanwhile, we find that the spacing distributions for various separations have a similar structure when the frequency is high, for which a formulae is suggested to describe this kind of spacing distributions. In addition, we compute the spectral rigidity characterizing the long range correlation of a spectrum.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
T.A. Brody, J. Flores, J.B. French, P.A. Mello, A. Pandey, S.S.M. Wong: Rev. Mod. Phys.53, 385 (1981)
M.L. Mehta: Random Matrices, 2nd edn. Academic, New York, 1991
E.P. Wigner: Ann. Math.53, 36 (1951);62, 548 (1955);65, 203 (1957);67, 325 (1958)
O. Bohigas, M.J. Giannoni: Ann. Phys.89, 393 (1975) and references therein
E. Haller, H. Koppel, L.S. Cederbaum: Chem. Phys. Lett.101, 215 (1983)
K.B. Efetov: Adv. Phys.32, 53 (1983)
M. Fass, B.D. Simons, X. Zotos, B. L. Altshuler: Phys. Rev. B48, 5439 (1993); G. Montambaux, D. Poiblanc, J. Bellissard, C. Sire, Phys. Rev. Lett.70, 497 (1993)
O. Bohigas, M.J. Giannoni, C. Schmit: Phys. Rev. Lett.52, 1 (1984)
O. Bohigas: In Chaos and Quantum Physics (ed. M.J. Giannoni, A. Voros, J. Zinn-Justin) Amsterdam: Elsevier 1992
P. Gaspard, S.A. Rice, H.J. Mikeska, K. Nakamura: Phys. Rev.A42, 4015 (1990)
T. Takami, H. Hasegawa: Phys. Rev. Lett.68, 419 (1992)
D. Saher, F. Haake, P. Gaspard: Phys. Rev.A44, 7841 (1991)
J. Zakrzewski, D. Delande: Phys. Rev.E47, 1650 (1993)
F. Oppen: Phys. Rev. Lett.73, 798 (1994)
U. Mosel, W. Greiner: Z. Phys.217, 256 (1968);222, 261 (1969)
P. Holzer, U. Mosel, W. Greiner: Nucl. Phys.A138, 241 (1989)
J. Maruhn, W. Greiner: Z. Phys.251, 431 (1972)
P. Glassel, et al.: Phys. Rev. Lett.38, 331 (1977)
Xizhen Wu, J.A. Maruhn, W. Greiner: Z. Phys.A334, 207 (1989)
T. Marumori, F. Sakata et al.: A Possible Microscopic Description of Nuclear Collective Rotation in Band-Crossing Region (to be published)
H. Feshbach: Theoretical Nuclear Physics, nuclear reactions. John Wiley Sons, 1992
B. Milek, W. Nörenberg, P. Rozmej: Z. Phys.A334, 233 (1989)
Author information
Authors and Affiliations
Additional information
Communicated by X. Campi
Rights and permissions
About this article
Cite this article
Gu, Jz., Wu, XZ. & Zhuo, Yz. The statistical properties of single-particle levels in rotating heavy nuclei. Z. Phys. A — Hadrons and Nuclei 354, 15–26 (1996). https://doi.org/10.1007/s002180050008
Received:
Issue Date:
DOI: https://doi.org/10.1007/s002180050008