arXiv 1201.66022012-01-31hep-phhep-exnucl-th

分析$ππ$散射振幅和光标量- II

Analytical $ππ$ scattering amplitude and the light scalars-II

N. N. Achasov, A. V. Kiselev

备注：: 24 pages, 50 figures, 7 tables
发表信息：: Phys.Rev.D85:094016,2012
DOI：: 10.1103/PhysRevD.85.094016

摘要：

在论文Phys. Rev.{ \bf D83}，054008（2011）中，我们构建了在$s$复平面中具有规则分析性质的$ππ$散射振幅$T^0_0$，描述了实验数据和基于手征展开和Roy方程的结果。现在，我们的工作的发展过程中获得的结果。详细讨论了低$σ-f_0$混合、非弹性描述和$ϕ\to γ(σ+f_0)$反应的K介子环模型等问题，并给出了一些新的拟合。特别是，我们表明，最小化的$σ-f_0$混合的结果在四夸克的情况下轻标量：$σ$（600）与$K\bar K$通道的耦合被抑制相对于与$ππ$通道的耦合，和$f_0$（980）与$ππ$通道的耦合被抑制相对于与$K\bar K$通道的耦合。借助于较为复杂的背景函数，得到了$ππ$散射振幅的正确解析性质。我们还建议更简单的背景参数化，实际上保留的共振功能，这是舒适的实验数据分析，但允许描述的结果的基础上的手征扩展和罗伊方程只有在真正的$s$轴。

英文摘要：

In the paper Phys. Rev. {\bf D83}, 054008 (2011) we constructed the $ππ$ scattering amplitude $T^0_0$ with regular analytical properties in the $s$ complex plane, describing both experimental data and the results based on chiral expansion and Roy equations. Now the results obtained during development of our work are presented. We dwell on questions dealing with the low $σ-f_0$ mixing, inelasticity description and the kaon loop model for $ϕ\to γ(σ+f_0)$ reaction, and show a number of new fits. In particular, we show that the minimization of the $σ-f_0$ mixing results in the four-quark scenario for light scalars: the $σ$(600) coupling with the $K\bar K$ channel is suppressed relatively to the coupling with the $ππ$ channel, and the $f_0$(980) coupling with the $ππ$ channel is suppressed relatively to the coupling with the $K\bar K$ channel. The correct analytical properties of the $ππ$ scattering amplitude are reached with the help of rather complicated background function. We also suggest much more simple background parameterization, practically preserving the resonance features, which is comfortable for experimental data analysis, but allows to describe the results based on chiral expansion and Roy equations only on the real $s$ axis.

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英文摘要：

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