Nuclear Structure under Random InteractionsNo Access

RANDOM MATRIX THEORY AND ITS APPLICATION TO THE DECAY OUT OF A SUPERDEFORMED BAND

JIANZHONG GU

China Institute of Atomic Energy, Beijing 102413, P. R. China

Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator of Lanzhou, 73000, Lanzhou, P. R. China

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https://doi.org/10.1142/S0218301308011938Cited by:1 (Source: Crossref)

Abstract

Originally, random matrix theory (RMT) was designed by Wigner to deal with the statistics of eigenvalues and eigenfunctions of complex many-body quantum systems in 1950s. During the last two decades, the RMT underwent an unexpected and rapid development: The RMT has been successfully applied to an ever increasing variety of physical problems, and it has become an important tool to attack many-body problems. In this contribution I briefly outline the development of the RMT and introduce its basics. Its application to the decay out of a Superdeformed band and a comparison of the approach used in Ref. 34 with that proposed by Vigezzi et al are presented. Current theoretical activities on the decay out problem are reviewed, and the influence of the degree of chaoticity of the normally deformed states on the decay out intensity is examined systematically.

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RANDOM MATRIX THEORY AND ITS APPLICATION TO THE DECAY OUT OF A SUPERDEFORMED BAND

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