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arXiv 1308.6540hep-ph
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关于重、轻介子普适描述的注记

Note on universal description of heavy and light mesons

S. S. Afonin, I. V. Pusenkov

摘要:

具有隐夸克味的S波矢量介子的激发态谱具有一个显著的性质:对于所有味,它都近似于质量平方的线性关系,$m_n^2\approx a(n+b)$,$n$是径向量子数.我们提请注意这样一个事实,即任何夸克质量的这种普遍行为都不能在通常的半相对论性势和类弦模型中以自然的方式获得-如果由轻夸克组成的介子再现了类雷吉行为,那么重夸克扇区的轨迹就变得基本上是非线性的。然而,实际上,重介子的线性似乎比轻介子更好。此外,斜率a对于不同的夸克味是完全不同的。这种差异在QCD弦方法中很难理解,因为斜率测量的是夸克之间的相互作用强度。我们提出了一个简单的方法重新参数化的矢量谱的夸克质量和普遍的斜率和截距。我们的模型无关的分析表明,任何质量的夸克应被视为静态的介子内的源,而夸克之间的相互作用是实质上相对论性的。

英文摘要:

The experimental spectrum of excited S-wave vector mesons with hidden quark flavor reveals a remarkable property: For all flavors, it is approximately linear in mass squared, $m_n^2\approx a(n+b)$, $n$ is the radial quantum number. We draw attention to the fact that such a universal behavior for any quark mass cannot be obtained in a natural way within the usual semirelativistic potential and string-like models - if the Regge-like behavior is reproduced for the mesons made of the light quarks, the trajectories become essentially nonlinear for the heavy-quark sector. In reality, however, the linearity for the heavy mesons appears to be even better than for the light ones. In addition, the slope a is quite different for different quark flavors. This difference is difficult to understand within the QCD string approach since the slope measures the interaction strength among quarks. We propose a simple way for reparametrization of the vector spectrum in terms of quark masses and universal slope and intercept. Our model-independent analysis suggests that the quarks of any mass should be regarded as static sources inside mesons while the interaction between quarks is substantially relativistic.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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