Anomalous Spectral Statistics of the Asymmetric Rotor Model

Details Anomalous Spectral Statistics of the Asymmetric Rotor Model Anomalous Spectral Statistics of the Asymmetric Rotor Model

2001-06-20

arxiv.org/abs/nucl-th/0106048v1

Physics

Nuclear Physics

Nuclear Theory

9 pages, 4 figures, presented to the 7th International Spring Seminar on Nuclear Physics, Maiori, May 27-31 (2001), to be publ

Scientific paper

We investigate the spectral statistics of the asymmetric rotor model (triaxial rigid rotator). The asymmetric top is classically integrable and, according to the Berry-Tabor theory, its spectral statistics should be Poissonian. Surprisingly, our numerical results show that the nearest neighbor spacing distribution $P(s)$ and the spectral rigidity $\Delta_3(L)$ do not follow Poisson statistics.

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