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arXiv 1010.4148hep-ph
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用么正化手征微扰理论研究共振态的m_pi和N_c依赖性

m_pi and N_c dependence of resonances from Unitarized Chiral Perturbation Theory

G. Rios, C. Hanhart, J. R. Pelaez

摘要:

我们回顾了我们的研究的rho和sigma共振特性来自反振幅方法。特别是,我们研究了领先的$1/N_c$行为的共振质量和宽度及其演变与变化的$m_π$。$1/N_c$展开式给出了$\bar qq$态的清晰定义,$ρ$能很好地满足这个定义,但sigma不能,这表明它的主要成分不是$\bar qq$。共振性质的$m_π$依赖性与晶格研究有关。我们发现我们的预测与一些晶格的结果比较好,我们发现,ρ-π-π耦合常数是$m_π$独立的,在与σ-π-π $ coupling, that shows a strong $ m_π$依赖。

英文摘要:

We review our studies on the rho and sigma resonances properties derived from the Inverse Amplitude Method. In particular, we study the leading $1/N_c$ behavior of the resonances masses and widths and their evolution with changing $m_π$. The $1/N_c$ expansion gives a clear definition of $\bar qq$ states, which is neatly satisfied by the $ρ$ but not by the sigma, showing that its dominant component is not $\bar qq$. The $m_π$ dependence of the resonance properties is relevant to connect with lattice studies. We show that our predictions compare well with some lattice results and we find that the rho-pi-pi coupling constant is $m_π$ independent, in contrast with the sigma-pi-pi$ coupling, that shows a strong $m_π$ dependence.

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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