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arxiv: nucl-th/0106048 · v1 · pith:CGPGARSNnew · submitted 2001-06-20 · ⚛️ nucl-th

Anomalous Spectral Statistics of the Asymmetric Rotor Model

classification ⚛️ nucl-th
keywords spectralstatisticsasymmetricmodelrotoraccordinganomalousberry-tabor
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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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