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arXiv 1006.4729hep-ph
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不同大$N_c$极限下的轻重子质量

Light baryon masses in different large-$N_c$ limits

Fabien Buisseret, Claude Semay

摘要:

本文研究了重子质量在三个不等价的大$N_c$极限:t~Hooft,QCD $_{\rm AS}$和Corrigan-Ramond中的行为.我们的框架是一个组分夸克模型与相对论型的动能,类弦禁闭和一个胶子交换项,从而导致良好定义的结果,即使是无质量的夸克。我们解析地证明了在t~Hooft极限、QCD $_{\rm AS}$极限和Corrigan-Ramond极限下,轻子质量标度分别为$N_c$、$N_c^2$和$1$.这些结果证实了以前通过使用图解方法或组分方法获得的结果,主要适用于重夸克。

英文摘要:

We investigate the behavior of light baryon masses in three inequivalent large-$N_c$ limits: 't~Hooft, QCD$_{\rm AS}$ and Corrigan-Ramond. Our framework is a constituent quark model with relativistic-type kinetic energy, stringlike confinement and one-gluon-exchange term, thus leading to well-defined results even for massless quarks. We analytically prove that the light baryon masses scale as $N_c$, $N_c^2$ and $1$ in the 't~Hooft, QCD$_{\rm AS}$ and Corrigan-Ramond limits respectively. Those results confirm previous ones obtained by using either diagrammatic methods or constituent approaches, mostly valid for heavy quarks.

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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