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Energy centroids of spinIstates by random two-body interactions

2004/12/21 by Y. M. Zhao, A. Arima, K. Ogawa
Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #Nuclear physics research studies #Quantum chaos and dynamical systems #nucl-th

paper · pdf · doi:10.1103/physrevc.71.017304

published as Phys.Rev. C71 (2005) 017304 · four figures. to appear in Physical Review C

arxiv created 2004/12/21 · openalex publication_date 2005/01/31 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper we study the behavior of energy centroids (denoted as EI) of spin I states in the presence of random two-body interactions, for systems ranging from very simple systems (e.g., single-j shell for very small j) to very complicated systems (e.g., many-j shells with different parities and with isospin degree of freedom). Regularities of EI's discussed in terms of the so-called geometric chaoticity (or quasi-randomness of two-body coefficients of fractional parentage) in earlier works are found to hold even for very simple systems in which one cannot assume geometric chaoticity. It is shown that the inclusion of isospin and parity does not ``break'' the regularities of EI's.

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