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arXiv 0807.2364hep-ph
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用$1/N_c$分类法对裸$σ$杆的动力学研究

Dynamical study of bare $σ$ pole with $1/N_c$ classifications

Toru Kojo, Daisuke Jido

摘要:

系统的$1/N_c$计数的夸克胶子直接相关的动力学性质不同的强子态顺序顺序进行。用$1/N_c$分离的方法分析了$σ$量子的2 q和4 q散射子,其中包括瞬子、胶球,特别是两个介子的散射态.用QCD求和规则研究了无混合效应的{ \it裸}共振极点.导出了大$N_c$介子的裸质量关系式$m_ρ<m_{4q}^{I=J=0}<m_{2q}^{I=J=0}$。还强调了QSR在领先的$1/N_{c}$分析中的坚实理论基础。

英文摘要:

Systematic $1/N_c$ counting of correlators is performed to directly relate quark-gluon dynamics to qualitatively different hadronic states order by order. Both 2q and 4q correlators of $σ$ quanta are analyzed with $1/N_c$ separation of the instanton, glueball, and in particular, two meson scattering states. The {\it bare} resonance pole with no mixing effects are studied with the QCD sum rules (QSR). The bare mass relation for large $N_c$ mesons, $m_ρ<m_{4q}^{I=J=0}<m_{2q}^{I=J=0}$, is derived. The firm theoretical ground of the QSR at the leading $1/N_{c}$ analyses is also emphasized.

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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