Energy Centroids of Spin $I$ States by Random Two-body Interactions

Details Energy Centroids of Spin $I$ States by Random Two-body Interactions Energy Centroids of Spin $I$ States by Random Two-body Interactions

2004-12-21

arxiv.org/abs/nucl-th/0412083v1

Phys.Rev. C71 (2005) 017304

Physics

Nuclear Physics

Nuclear Theory

four figures. to appear in Physical Review C

Scientific paper

10.1103/PhysRevC.71.017304

In this paper we study the behavior of energy centroids (denoted as $\bar{E_I}$) 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 $\bar{E_I}$'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 the geometric chaoticity. It is shown that the inclusion of isospin and parity does not "break" the regularities of $\bar{E_I}$'s.

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