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Comment on "Models of Intermediate Spectral Statistics"

T. Gorin·M. Mueller·P. Seba
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Abstract

In [1] it was proposed, that the nearest-neighbor distribution $P(s)$ of the spectrum of the Bohr-Mottelson model is similar to the semi-Poisson distribution. We show however, that $P(s)$ of this model differs considerably in many aspects from semi-Poisson. In addition we give an asymptotic formula for $P(s)$ as $s \to 0$, which gives $P'(0) = π\sqrt{3}/2$ for the slope at $s=0$. This is different not only from the GOE case but also from the semi-Poisson prediction that leads to $P'(0) = 4$

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T. Gorin, M. Mueller, P. Seba. 2000-07-03. Comment on "Models of Intermediate Spectral Statistics". https://doi.org/10.1103/physreve.63.068201

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