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arXiv 1202.5834hep-lat
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$σ$介子衰变宽度的晶格初步研究

Preliminary lattice study of $σ$ meson decay width

Ziwen Fu

摘要:

本文报道了用s波散射相方法对I=0 π介子-π介子($ππ$)系统的$σ$介子衰变宽度进行的探索性晶格研究。用Rummukainen-Gottlieb公式估计散射相位,证明了$σ$介子周围存在共振.使用有效射程公式,我们提取的有效$σ\to ππ$耦合常数为$g_{σππ} = 2.69(44)$ GeV,这是与理论预测一致。估计的衰变宽度约为$236 \pm 49$ MeV。这些模拟是在$16^3\times48$ MILC规范位形上进行的,该规范位形具有“Asqtad”改进的交错动力学海夸克的$N_f=2+1$风味,在$ m_π/ m_σ\approx 0.414$和晶格间距$a \approx 0.15$ fm处。

英文摘要:

We report an exploratory lattice investigation of $σ$ meson decay width using s-wave scattering phase for isospin I=0 pion-pion ($ππ$) system. Rummukainen-Gottlieb formula is used to estimate the scattering phase, which demonstrate the presence of a resonance around $σ$ meson. Using the effective range formula we extract the effective $σ\to ππ$ coupling constant as $g_{σππ} = 2.69(44)$ GeV, which is consistent with theoretical predictions. The estimated decay width is about $236 \pm 49$ MeV. These simulations are carried out on a $16^3\times48$ MILC gauge configuration with the $N_f=2+1$ flavor of the "Asqtad" improved staggered dynamical sea quarks at $ m_π/ m_σ\approx 0.414$ and the lattice spacing $a \approx 0.15$ fm.

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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