强子物理学中的么正化技术及其历史评述
Unitarization Technics in Hadron Physics with Historical Remarks
摘要:
我们回顾了一系列的unitarization技术,已在过去的几十年中使用,其中许多与当前的代数和后来的手征微扰理论的出现和发展。讨论了几种方法,如广义有效范围展开法、K矩阵法、反振幅法、Padé逼近法和N/D法。不过,对于后者有更多的细节。我们还考虑如何实现它们,以纠正最终状态的相互作用。与此相关,还介绍了一些其他方法,如形状因子的逆的扩展,Omnés解决方案,耦合通道的推广和Khuri-Treiman形式主义等。
英文摘要:
We review a series of unitarization techniques that have been used during the last decades, many of them in connection with the advent and development of current algebra and later of Chiral Perturbation Theory. Several methods are discussed like the generalized effective-range expansion, K-matrix approach, Inverse Amplitude Method, Padé approximants and the N/D method. More details are given for the latter though. We also consider how to implement them in order to correct by final-state interactions. In connection with this some other methods are also introduced like the expansion of the inverse of the form factor, the Omnés solution, generalization to coupled channels and the Khuri-Treiman formalism, among others.
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