本文给出了bottomonia Uppermia（mS）-> Uppermia（nS）pi pi（m>n，m= 2，3，4，5，n= 1，2，3），charmonia J/psi -> phi（pi pi，K antiK），psi（2S）-> J/psi pi pi和等幅S波过程pi pi -> pi pi，K antiK，eta eta的衰变的统一分析。在这个分析中，我们扩展我们最近的研究低洼（m= 2，3）的bottomonia的径向激发模式涉及更高的（m= 4，5）激发态。同样，对于较低的径向激发的数据，我们确认，较高的径向激发态的BaBar和Belle合作的数据可以描述的条件下，最终bottomonium是一个旁观者和多通道π π散射被认为是在一个独立的模型的方法的基础上的解析性，么正性和均匀化过程。事实上，我们表明，在两个π介子的charmonia和bottomonia状态的过渡中的双介子质量分布的解释由一个统一的机制的基础上的贡献的π π和K antiK耦合通道，包括他们的干扰（最终状态的相互作用）。因此，我们的主要结果是，较低和较高的径向激发态的charmonia和bottomonia没有具体的特点，在相互比较，可以理解在一个统一的图片，例如，提出了我们的方法。
英文摘要：
We present a unified analysis of the decays of bottomonia Upsilon(mS) -> Upsilon(nS) pi pi (m>n, m=2,3,4,5, n=1,2,3), charmonia J/psi -> phi (pi pi, K antiK), psi(2S) -> J/psi pi pi and the isoscalar S-wave processes pi pi -> pi pi, K antiK, eta eta. In this analysis we extend our recent study of low-lying (m=2,3) radial excitations of bottomonia to modes involving higher (m=4,5) excited states. Similarly as for the data on lower radial excitations, we confirm that the data for higher radially excited states from the BaBar and Belle collaborations can be described under conditions that the final bottomonium is a spectator and the multichannel pi pi scattering is considered in a model-independent approach based on analyticity, unitarity and the uniformization procedure. Indeed we show that the dipion mass distributions in the two-pion transitions of both charmonia and bottomonia states are explained by a unified mechanism based on the contribution of the pi pi and K antiK coupled channels including their interference (final-state interactions). Therefore, our main result is that the lower and higher radially excited states of charmonia and bottomonia have no specific features in mutual comparison and can be understood in a unified picture, e.g. proposed by our approach.
