Coexistence of collectivity and chaos in nuclei
作者： T Guhr , H.A Weidenmüller
DOI: 10.1016/0003-4916(89)90006-7
关键词: Eigenvalues and eigenvectors 、 Physics 、 Nuclear structure 、 Hamiltonian (quantum mechanics) 、 Mathematical Operators 、 Excitation 、 Quantum mechanics 、 Gaussian 、 Monte Carlo method 、 Harmonic oscillator 、 General Physics and Astronomy
摘要: We consider a regular Hamiltonian {ital H}{sub 0} plus perturbation V}. assume that V} is member of the Gaussian orthogonal ensemble (GOE). show H}+{ital 0}+{ital acquires local GOE fluctuation properties whenever spreading width {Gamma} due to exceeds several ten mean spacings 0}, i.e., for very weak illustrate this analytical result with Monte Carlo simulations. use our argue at MeV excitation energy, collectivity and chaos coexist in nuclei. propose novel experimental test attainment decay high-spin states. {copyright} 1989 Academic Press, Inc.
osti.gov
elsevier.com
sci-hub.se 参考文章(10)
E.G Bilpuch, A.M Lane, G.E Mitchell, J.D Moses, Fine structure of analogue states Physics Reports. ,vol. 28, pp. 145- 244 ,(1976) , 10.1016/0370-1573(76)90016-8
Akhilesh Pandey, Statistical properties of many-particle spectra. IV. New ensembles by Stieltjes transform methods Annals of Physics. ,vol. 134, pp. 110- 127 ,(1981) , 10.1016/0003-4916(81)90007-5
G. E. Mitchell, E. G. Bilpuch, P. M. Endt, J. F. Shriner, Broken symmetries and chaotic behavior in 26Al. Physical Review Letters. ,vol. 61, pp. 1473- 1476 ,(1988) , 10.1103/PHYSREVLETT.61.1473
J.J.M. Verbaarschot, H.A. Weidenmüller, M.R. Zirnbauer, Grassmann integration in stochastic quantum physics: The case of compound-nucleus scattering Physics Reports. ,vol. 129, pp. 367- 438 ,(1985) , 10.1016/0370-1573(85)90070-5
M.R. Zirnbauer, J.J.M. Verbaarschot, H.A. Weidenmüller, Destruction of order in nuclear spectra by a residual GOE interaction Nuclear Physics. ,vol. 411, pp. 161- 180 ,(1983) , 10.1016/0375-9474(83)90385-8
T. A. Brody, J. Flores, J. B. French, P. A. Mello, A. Pandey, S. S. M. Wong, Random matrix physics: Spectrum and strength fluctuations Reviews of Modern Physics. ,vol. 53, pp. 385- 479 ,(1981) , 10.1103/REVMODPHYS.53.385
J Verbaarschot, H.A Weidenmüller, M Zirnbauer, Evaluation of ensemble averages for simple Hamiltonians perturbed by a GOE interaction Annals of Physics. ,vol. 153, pp. 367- 388 ,(1984) , 10.1016/0003-4916(84)90023-X
K.B. Efetov, Supersymmetry and theory of disordered metals Advances in Physics. ,vol. 32, pp. 53- 127 ,(1983) , 10.1080/00018738300101531
O. Bohigas, M. J. Giannoni, C. Schmit, Characterization of chaotic quantum spectra and universality of level fluctuation laws Physical Review Letters. ,vol. 52, pp. 1- 4 ,(1984) , 10.1103/PHYSREVLETT.52.1
O Bohigas, H A Weidenmuller, Aspects of chaos in nuclear physics Annual Review of Nuclear and Particle Science. ,vol. 38, pp. 421- 453 ,(1988) , 10.1146/ANNUREV.NS.38.120188.002225