Fernández-Ramírez C, Relaño A
Instituto de Estructura de la Materia, CSIC, Serrano 123, E-28006 Madrid, Spain.
Phys Rev Lett. 2007 Feb 9;98(6):062001. doi: 10.1103/PhysRevLett.98.062001. Epub 2007 Feb 8.
We study the low-lying baryon spectrum (up to 2.2 GeV) provided by experiments and different quark models using statistical tools which allow us to postulate the existence of missing levels in spectra. We confirm that the experimental spectrum is compatible with random matrix theory, the paradigmatic model of quantum chaos, and we find that the quark models are more similar to a Poisson distribution, which is not compatible with what should be expected in a correlated spectrum. From our analysis it stems that the spectral fluctuation properties of quark-model spectra are incompatible with experimental data. This result can be used to enlighten the problem of missing resonances.
我们使用统计工具研究了实验和不同夸克模型提供的低能重子谱（高达2.2 GeV），这些工具使我们能够推测谱中缺失能级的存在。我们证实实验谱与量子混沌的典型模型——随机矩阵理论兼容，并且发现夸克模型更类似于泊松分布，这与相关谱中预期的情况不兼容。从我们的分析中可以看出，夸克模型谱的谱涨落特性与实验数据不兼容。这一结果可用于阐明缺失共振的问题。
